https://wiki.math.wisc.edu/api.php?action=feedcontributions&user=Ntalebiz&feedformat=atomUW-Math Wiki - User contributions [en]2024-03-19T09:12:45ZUser contributionsMediaWiki 1.39.5https://wiki.math.wisc.edu/index.php?title=NTS_ABSTRACTSpring2019&diff=17418NTS ABSTRACTSpring20192019-05-03T17:23:49Z<p>Ntalebiz: /* May 9 */</p>
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<div>Return to [https://www.math.wisc.edu/wiki/index.php/NTS ]<br />
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== Jan 23 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Yunqing Tang '''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Reductions of abelian surfaces over global function fields<br />
|-<br />
| bgcolor="#BCD2EE" | For a non-isotrivial ordinary abelian surface $A$ over a global function field, under mild assumptions, we prove that there are infinitely many places modulo which $A$ is geometrically isogenous to the product of two elliptic curves. This result can be viewed as a generalization of a theorem of Chai and Oort. This is joint work with Davesh Maulik and Ananth Shankar.<br />
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|} <br />
</center><br />
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<br><br />
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== Jan 24 ==<br />
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<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Hassan-Mao-Smith--Zhu'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Assume a polynomial-time algorithm for factoring integers, Conjecture~\ref{conj}, $d\geq 3,$ and $q$ and $p$ prime numbers, where $p\leq q^A$ for some $A>0$. We develop a polynomial-time algorithm in $\log(q)$ that lifts every $\mathbb{Z}/q\mathbb{Z}$ point of $S^{d-2}\subset S^{d}$ to a $\mathbb{Z}[1/p]$ point of $S^d$ with the minimum height. We implement our algorithm for $d=3 \text{ and }4$. Based on our numerical results, we formulate a conjecture which can be checked in polynomial-time and gives the optimal bound on the diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$. <br />
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|} <br />
</center><br />
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== Jan 31 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Kyle Pratt'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Breaking the $\frac{1}{2}$-barrier for the twisted second moment of Dirichlet $L$-functions<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: I will discuss recent work, joint with Bui, Robles, and Zaharescu, on a moment problem for Dirichlet $L$-functions. By way of motivation I will spend some time discussing the Lindel\"of Hypothesis, and work of Bettin, Chandee, and Radziwi\l\l. The talk will be accessible, as I will give lots of background information and will not dwell on technicalities. <br />
<br />
|} <br />
</center><br />
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== Feb 7 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Shamgar Gurevich'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Harmonic Analysis on $GL_n$ over finite fields<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: There are many formulas that express interesting properties of a group G in terms of sums over its characters.<br />
For evaluating or estimating these sums, one of the most salient quantities to understand is the {\it character ratio}:<br />
$$trace (\rho(g))/dim (\rho),$$<br />
for an irreducible representation $\rho$ of G and an element g of G. For example, Diaconis and Shahshahani stated a formula of this type for analyzing G-biinvariant random walks on G. It turns out that, for classical groups G over finite fields (which provide most examples of finite simple groups), there is a natural invariant of representations that provides strong information on the character ratio. We call this invariant {\it rank}. This talk will discuss the notion of rank for GLn over finite fields, and apply the results to random walks. This is joint work with Roger Howe (TAMU).<br />
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|} <br />
</center><br />
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== Feb 14 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Tonghai Yang'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | The Lambda invariant and its CM values<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: The Lambda invariant which parametrizes elliptic curves with two torsions (X_0(2)) has some interesting properties, some similar to that of the j-invariants, and some not. For example, $\lambda(\frac{d+\sqrt d}2)$ is a unit sometime. In this talk, I will briefly describe some of the properties. This is joint work with Hongbo Yin and Peng Yu.<br />
<br />
|} <br />
</center><br />
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== Feb 28 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Brian Lawrence'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Diophantine problems and a p-adic period map.<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: I will outline a proof of Mordell's conjecture / Faltings's theorem using p-adic Hodge theory. Joint with Akshay Venkatesh.<br />
<br />
|} <br />
</center><br />
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== March 7==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Masoud Zargar'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Sections of quadrics over the affine line<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Abstract: Suppose we have a quadratic form Q(x) in d\geq 4 variables over F_q[t] and f(t) is a polynomial over F_q. We consider the affine variety X given by the equation Q(x)=f(t) as a family of varieties over the affine line A^1_{F_q}. Given finitely many closed points in distinct fibers of this family, we ask when there exists a section passing through these points. We study this problem using the circle method over F_q((1/t)). Time permitting, I will mention connections to Lubotzky-Phillips-Sarnak (LPS) Ramanujan graphs. Joint with Naser T. Sardari<br />
<br />
|} <br />
</center><br />
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== March 14==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Elena Mantovan'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | p-adic automorphic forms, differential operators and Galois representations<br />
|-<br />
| bgcolor="#BCD2EE" | A strategy pioneered by Serre and Katz in the 1970s yields a construction of p-adic families of modular forms via the study of Serre's weight-raising differential operator Theta. This construction is a key ingredient in Deligne-Serre's theorem associating Galois representations to modular forms of weight 1, and in the study of the weight part of Serre's conjecture. In this talk I will discuss recent progress towards generalizing this theory to automorphic forms on unitary and symplectic Shimura varieites. In particular, I will introduce certain p-adic analogues of Maass-Shimura weight-raising differential operators, and discuss their action on p-adic automorphic forms, and on the associated mod p Galois representations. In contrast with Serre's classical approach where q-expansions play a prominent role, our approach is geometric in nature and is inspired by earlier work of Katz and Gross.<br />
This talk is based joint work with Eishen, and also with Fintzen--Varma, and with Flander--Ghitza--McAndrew.<br />
<br />
|} <br />
</center><br />
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== March 28==<br />
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<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Adebisi Agboola'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" |Relative K-groups and rings of integers<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Suppose that F is a number field and G is a finite group. I shall discuss a conjecture in relative algebraic K-theory (in essence, a conjectural Hasse principle applied to certain relative algebraic K-groups) that implies an affirmative answer to both the inverse Galois problem for F and G and to an analogous problem concerning the Galois module structure of rings of integers in tame extensions of F. It also implies the weak Malle conjecture on counting tame G-extensions of F according to discriminant. The K-theoretic conjecture can be proved in many cases (subject to mild technical conditions), e.g. when G is of odd order, giving a partial analogue of a classical theorem of Shafarevich in this setting. While this approach does not, as yet, resolve any new cases of the inverse Galois problem, it does yield substantial new results concerning both the Galois module structure of rings of integers and the weak Malle conjecture.<br />
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|} <br />
</center><br />
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== April 4==<br />
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<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Wei-Lun Tsai'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" |Hecke L-functions and $\ell$ torsion in class groups<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: The canonical Hecke characters in the sense of Rohrlich form a <br />
set of algebraic Hecke characters with important arithmetic properties.<br />
In this talk, we will explain how one can prove quantitative <br />
nonvanishing results for the central values of their corresponding <br />
L-functions using methods of an arithmetic statistical flavor. In <br />
particular, the methods used rely crucially on recent work of Ellenberg, <br />
Pierce, and Wood concerning bounds for $\ell$-torsion in class groups of <br />
number fields. This is joint work with Byoung Du Kim and Riad Masri.<br />
|} <br />
</center><br />
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== April 11==<br />
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<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Taylor Mcadam'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" |Almost-prime times in horospherical flows<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Equidistribution results play an important role in dynamical systems and their applications in number theory. Often in such applications it is desirable for equidistribution to be effective (i.e. the rate of convergence is known). In this talk I will discuss some of the history of effective equidistribution results in homogeneous dynamics and give an effective result for horospherical flows on the space of lattices. I will then describe an application to studying the distribution of almost-prime times in horospherical orbits and discuss connections of this work to Sarnak’s Mobius disjointness conjecture.<br />
|} <br />
</center><br />
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== April 18==<br />
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<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Ila Varma'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" |Malle's Conjecture for octic $D_4$-fields.<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: We consider the family of normal octic fields with Galois group $D_4$, ordered by their discriminant. In forthcoming joint work with Arul Shankar, we verify the strong Malle conjecture for this family of number fields, obtaining the order of growth as well as the constant of proportionality. In this talk, we will discuss and review the combination of techniques from analytic number theory and geometry-of-numbers methods used to prove these results.<br />
|} <br />
</center><br />
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== April 25==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Michael Bush'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" |Interactions between group theory and number theory<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: I'll survey some of the ways in which group theory has helped us understand extensions of number fields with restricted ramification and why one might care about such things. Some of Nigel's contributions will be highlighted. A good portion of the talk should be accessible to those other than number theorists.<br />
|} <br />
</center><br />
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== April 25==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Rafe Jones'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" |Eventually stable polynomials and arboreal Galois representations<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Call a polynomial defined over a field K eventually stable if its nth iterate has a uniformly bounded number of irreducible factors (over K) as n grows. I’ll discuss some far-reaching conjectures on eventual stability, and recent work on various special cases. I’ll also describe some natural connections between eventual stability and arboreal Galois representations, which Nigel Boston introduced in the early 2000s. <br />
|} <br />
</center><br />
<br />
==April 25 NTS==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Jen Berg'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" |Rational points on conic bundles over elliptic curves with positive rank<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Varieties that fail to have rational points despite having local points for each prime are said to fail the Hasse principle. A systematic tool accounting for these failures is called the Brauer-Manin obstruction, which uses the Brauer group, Br X, to preclude the existence of rational points on a variety X. In this talk, we'll explore the arithmetic of conic bundles over elliptic curves of positive rank over a number field k. We'll discuss the insufficiency of the known obstructions to explain the failures of the Hasse principle for such varieties over a number field. We'll further consider questions on the distribution of the rational points of X with respect to the image of X(k) inside of the rational points of the elliptic curve E. In the process, we'll discuss results on a local-to-global principle for torsion points on elliptic curves over Q. This is joint work in progress with Masahiro Nakahara.<br />
|} <br />
</center><br />
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== April 25==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Judy Walker'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" |Derangements of Finite Groups<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: In the early 1990’s, Nigel Boston taught an innovative graduate-level group theory course at the University of Illinois that focused on derangements (fixed-point-free elements) of transitive permutation groups. The course culminated in the writing of a 7-authored paper that appeared in Communications in Algebra in 1993. This paper contained a conjecture that was eventually proven by Fulman and Guralnick, with that result appearing in the Transactions of the American Mathematical Society just last year.<br />
|} <br />
</center><br />
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== May 2==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Melanie Matchett Wood'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" |Unramified extensions of random global fields<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: For any finite group Gamma, I will give a "non-abelian-Cohen-Martinet Conjecture," i.e. a conjectural distribution on the "good part" of the Galois group of the maximal unramified extension of a global field K, as K varies over all Galois Gamma extensions of the rationals or rational function field over a finite field. I will explain the motivation for this conjecture based on what we know about these maximal unramified extensions (very little), and how we prove, in the function field case, as the size of the finite field goes to infinity, that the moments of the Galois groups of these maximal unramified extensions match out conjecture. This talk covers work in progress with Yuan Liu and David Zureick-Brown<br />
|} <br />
</center><br />
<br />
== May 9==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''David Zureick-Brown'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" |Arithmetic of stacks<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: I'll discuss several diophantine problems that naturally lead one to study algebraic stacks, and discuss a few results. <br />
|} <br />
</center></div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_ABSTRACTSpring2019&diff=17417NTS ABSTRACTSpring20192019-05-03T17:23:28Z<p>Ntalebiz: </p>
<hr />
<div>Return to [https://www.math.wisc.edu/wiki/index.php/NTS ]<br />
<br />
<br />
== Jan 23 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Yunqing Tang '''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Reductions of abelian surfaces over global function fields<br />
|-<br />
| bgcolor="#BCD2EE" | For a non-isotrivial ordinary abelian surface $A$ over a global function field, under mild assumptions, we prove that there are infinitely many places modulo which $A$ is geometrically isogenous to the product of two elliptic curves. This result can be viewed as a generalization of a theorem of Chai and Oort. This is joint work with Davesh Maulik and Ananth Shankar.<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== Jan 24 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Hassan-Mao-Smith--Zhu'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Assume a polynomial-time algorithm for factoring integers, Conjecture~\ref{conj}, $d\geq 3,$ and $q$ and $p$ prime numbers, where $p\leq q^A$ for some $A>0$. We develop a polynomial-time algorithm in $\log(q)$ that lifts every $\mathbb{Z}/q\mathbb{Z}$ point of $S^{d-2}\subset S^{d}$ to a $\mathbb{Z}[1/p]$ point of $S^d$ with the minimum height. We implement our algorithm for $d=3 \text{ and }4$. Based on our numerical results, we formulate a conjecture which can be checked in polynomial-time and gives the optimal bound on the diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$. <br />
<br />
|} <br />
</center><br />
<br />
<br />
== Jan 31 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Kyle Pratt'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Breaking the $\frac{1}{2}$-barrier for the twisted second moment of Dirichlet $L$-functions<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: I will discuss recent work, joint with Bui, Robles, and Zaharescu, on a moment problem for Dirichlet $L$-functions. By way of motivation I will spend some time discussing the Lindel\"of Hypothesis, and work of Bettin, Chandee, and Radziwi\l\l. The talk will be accessible, as I will give lots of background information and will not dwell on technicalities. <br />
<br />
|} <br />
</center><br />
<br />
== Feb 7 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Shamgar Gurevich'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Harmonic Analysis on $GL_n$ over finite fields<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: There are many formulas that express interesting properties of a group G in terms of sums over its characters.<br />
For evaluating or estimating these sums, one of the most salient quantities to understand is the {\it character ratio}:<br />
$$trace (\rho(g))/dim (\rho),$$<br />
for an irreducible representation $\rho$ of G and an element g of G. For example, Diaconis and Shahshahani stated a formula of this type for analyzing G-biinvariant random walks on G. It turns out that, for classical groups G over finite fields (which provide most examples of finite simple groups), there is a natural invariant of representations that provides strong information on the character ratio. We call this invariant {\it rank}. This talk will discuss the notion of rank for GLn over finite fields, and apply the results to random walks. This is joint work with Roger Howe (TAMU).<br />
<br />
|} <br />
</center><br />
<br />
== Feb 14 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Tonghai Yang'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | The Lambda invariant and its CM values<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: The Lambda invariant which parametrizes elliptic curves with two torsions (X_0(2)) has some interesting properties, some similar to that of the j-invariants, and some not. For example, $\lambda(\frac{d+\sqrt d}2)$ is a unit sometime. In this talk, I will briefly describe some of the properties. This is joint work with Hongbo Yin and Peng Yu.<br />
<br />
|} <br />
</center><br />
<br />
== Feb 28 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Brian Lawrence'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Diophantine problems and a p-adic period map.<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: I will outline a proof of Mordell's conjecture / Faltings's theorem using p-adic Hodge theory. Joint with Akshay Venkatesh.<br />
<br />
|} <br />
</center><br />
<br />
== March 7==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Masoud Zargar'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Sections of quadrics over the affine line<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Abstract: Suppose we have a quadratic form Q(x) in d\geq 4 variables over F_q[t] and f(t) is a polynomial over F_q. We consider the affine variety X given by the equation Q(x)=f(t) as a family of varieties over the affine line A^1_{F_q}. Given finitely many closed points in distinct fibers of this family, we ask when there exists a section passing through these points. We study this problem using the circle method over F_q((1/t)). Time permitting, I will mention connections to Lubotzky-Phillips-Sarnak (LPS) Ramanujan graphs. Joint with Naser T. Sardari<br />
<br />
|} <br />
</center><br />
<br />
== March 14==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Elena Mantovan'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | p-adic automorphic forms, differential operators and Galois representations<br />
|-<br />
| bgcolor="#BCD2EE" | A strategy pioneered by Serre and Katz in the 1970s yields a construction of p-adic families of modular forms via the study of Serre's weight-raising differential operator Theta. This construction is a key ingredient in Deligne-Serre's theorem associating Galois representations to modular forms of weight 1, and in the study of the weight part of Serre's conjecture. In this talk I will discuss recent progress towards generalizing this theory to automorphic forms on unitary and symplectic Shimura varieites. In particular, I will introduce certain p-adic analogues of Maass-Shimura weight-raising differential operators, and discuss their action on p-adic automorphic forms, and on the associated mod p Galois representations. In contrast with Serre's classical approach where q-expansions play a prominent role, our approach is geometric in nature and is inspired by earlier work of Katz and Gross.<br />
This talk is based joint work with Eishen, and also with Fintzen--Varma, and with Flander--Ghitza--McAndrew.<br />
<br />
|} <br />
</center><br />
<br />
== March 28==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Adebisi Agboola'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" |Relative K-groups and rings of integers<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Suppose that F is a number field and G is a finite group. I shall discuss a conjecture in relative algebraic K-theory (in essence, a conjectural Hasse principle applied to certain relative algebraic K-groups) that implies an affirmative answer to both the inverse Galois problem for F and G and to an analogous problem concerning the Galois module structure of rings of integers in tame extensions of F. It also implies the weak Malle conjecture on counting tame G-extensions of F according to discriminant. The K-theoretic conjecture can be proved in many cases (subject to mild technical conditions), e.g. when G is of odd order, giving a partial analogue of a classical theorem of Shafarevich in this setting. While this approach does not, as yet, resolve any new cases of the inverse Galois problem, it does yield substantial new results concerning both the Galois module structure of rings of integers and the weak Malle conjecture.<br />
<br />
|} <br />
</center><br />
<br />
== April 4==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Wei-Lun Tsai'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" |Hecke L-functions and $\ell$ torsion in class groups<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: The canonical Hecke characters in the sense of Rohrlich form a <br />
set of algebraic Hecke characters with important arithmetic properties.<br />
In this talk, we will explain how one can prove quantitative <br />
nonvanishing results for the central values of their corresponding <br />
L-functions using methods of an arithmetic statistical flavor. In <br />
particular, the methods used rely crucially on recent work of Ellenberg, <br />
Pierce, and Wood concerning bounds for $\ell$-torsion in class groups of <br />
number fields. This is joint work with Byoung Du Kim and Riad Masri.<br />
|} <br />
</center><br />
<br />
== April 11==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Taylor Mcadam'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" |Almost-prime times in horospherical flows<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Equidistribution results play an important role in dynamical systems and their applications in number theory. Often in such applications it is desirable for equidistribution to be effective (i.e. the rate of convergence is known). In this talk I will discuss some of the history of effective equidistribution results in homogeneous dynamics and give an effective result for horospherical flows on the space of lattices. I will then describe an application to studying the distribution of almost-prime times in horospherical orbits and discuss connections of this work to Sarnak’s Mobius disjointness conjecture.<br />
|} <br />
</center><br />
<br />
== April 18==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Ila Varma'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" |Malle's Conjecture for octic $D_4$-fields.<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: We consider the family of normal octic fields with Galois group $D_4$, ordered by their discriminant. In forthcoming joint work with Arul Shankar, we verify the strong Malle conjecture for this family of number fields, obtaining the order of growth as well as the constant of proportionality. In this talk, we will discuss and review the combination of techniques from analytic number theory and geometry-of-numbers methods used to prove these results.<br />
|} <br />
</center><br />
<br />
== April 25==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Michael Bush'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" |Interactions between group theory and number theory<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: I'll survey some of the ways in which group theory has helped us understand extensions of number fields with restricted ramification and why one might care about such things. Some of Nigel's contributions will be highlighted. A good portion of the talk should be accessible to those other than number theorists.<br />
|} <br />
</center><br />
<br />
== April 25==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Rafe Jones'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" |Eventually stable polynomials and arboreal Galois representations<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Call a polynomial defined over a field K eventually stable if its nth iterate has a uniformly bounded number of irreducible factors (over K) as n grows. I’ll discuss some far-reaching conjectures on eventual stability, and recent work on various special cases. I’ll also describe some natural connections between eventual stability and arboreal Galois representations, which Nigel Boston introduced in the early 2000s. <br />
|} <br />
</center><br />
<br />
==April 25 NTS==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Jen Berg'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" |Rational points on conic bundles over elliptic curves with positive rank<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Varieties that fail to have rational points despite having local points for each prime are said to fail the Hasse principle. A systematic tool accounting for these failures is called the Brauer-Manin obstruction, which uses the Brauer group, Br X, to preclude the existence of rational points on a variety X. In this talk, we'll explore the arithmetic of conic bundles over elliptic curves of positive rank over a number field k. We'll discuss the insufficiency of the known obstructions to explain the failures of the Hasse principle for such varieties over a number field. We'll further consider questions on the distribution of the rational points of X with respect to the image of X(k) inside of the rational points of the elliptic curve E. In the process, we'll discuss results on a local-to-global principle for torsion points on elliptic curves over Q. This is joint work in progress with Masahiro Nakahara.<br />
|} <br />
</center><br />
<br />
== April 25==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Judy Walker'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" |Derangements of Finite Groups<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: In the early 1990’s, Nigel Boston taught an innovative graduate-level group theory course at the University of Illinois that focused on derangements (fixed-point-free elements) of transitive permutation groups. The course culminated in the writing of a 7-authored paper that appeared in Communications in Algebra in 1993. This paper contained a conjecture that was eventually proven by Fulman and Guralnick, with that result appearing in the Transactions of the American Mathematical Society just last year.<br />
|} <br />
</center><br />
<br />
<br />
== May 2==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Melanie Matchett Wood'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" |Unramified extensions of random global fields<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: For any finite group Gamma, I will give a "non-abelian-Cohen-Martinet Conjecture," i.e. a conjectural distribution on the "good part" of the Galois group of the maximal unramified extension of a global field K, as K varies over all Galois Gamma extensions of the rationals or rational function field over a finite field. I will explain the motivation for this conjecture based on what we know about these maximal unramified extensions (very little), and how we prove, in the function field case, as the size of the finite field goes to infinity, that the moments of the Galois groups of these maximal unramified extensions match out conjecture. This talk covers work in progress with Yuan Liu and David Zureick-Brown<br />
|} <br />
</center><br />
<br />
== May 9==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''David Zureick-Brown'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" |Unramified extensions of random global fields<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: I'll discuss several diophantine problems that naturally lead one to study algebraic stacks, and discuss a few results. <br />
|} <br />
</center></div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS&diff=17416NTS2019-05-03T17:22:21Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2019 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
You can find our Fall 2018 speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Fall_2018_Semester Fall 2018].<br />
<br><br />
You can find our previous speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Spring_2018_Semester Spring 2018].<br />
<br />
= Spring 2019 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 23<br />
'''Wed. Room VV B231'''<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.princeton.edu/~yunqingt/ Yunqing Tang (Princeton University)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_23 Reductions of abelian surfaces over global function fields]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 24<br />
| bgcolor="#F0B0B0" align="center" | Hassan-Mao-Smith--Zhu<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_24 The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Jan 31<br />
| bgcolor="#F0B0B0" align="center" | [https://faculty.math.illinois.edu/~kpratt4/ Kyle Pratt (University of Illinois at Urbana-Champaign)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_31 Breaking the $\frac{1}{2}$-barrier for the twisted second moment of Dirichlet $L$-functions]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 7 <br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~shamgar/ Shamgar Gurevich (UW-Madison)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_7 Harmonic Analysis on $GL_n$ over finite fields] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 14<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~thyang/ Tonghai Yang (UW-Madison)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_14 The Lambda invariant and its CM values]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 21<br />
| bgcolor="#F0B0B0" align="center" | No Seminar<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 28<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.columbia.edu/~brianrl/ Brian Lawrence (the University of Chicago)] <br />
| bgcolor="#BCE2FE"|[https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_28 Diophantine problems and a p-adic period map.] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 7<br />
| bgcolor="#F0B0B0" align="center" |[https://sites.google.com/view/masoudzargar/ Masoud Zargar (Regensburg)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#March_7 Sections of quadrics over the affine line] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 14<br />
| bgcolor="#F0B0B0" align="center" | [http://www.its.caltech.edu/~mantovan/ Elena Mantovan (Caltech)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#March_14 p-adic automorphic forms, differential operators and Galois representations]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 21<br />
| bgcolor="#F0B0B0" align="center" | Spring Break<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 28<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.ucsb.edu/~agboola/ Adebisi Agboola (UCSB)] <br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#March_28 Relative K-groups and rings of integers]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 4<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.tamu.edu/~wltsai/ Wei-Lun Tsai (Texas A&M University)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#April_4 Hecke L-functions and $\ell$ torsion in class groups]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 11<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~tmcadam/ Taylor McAdam (UCSD)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#April_11 Almost-prime times in horospherical flows]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 18 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~ila/ Ila Varma (UCSD)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#April_18 Malle's Conjecture for octic $D_4$-fields.]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
'''10:00-11:00 Room VV 911'''<br />
| bgcolor="#F0B0B0" align="center" | [https://bushm.academic.wlu.edu Michael Bush (Washington & Lee)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#April_25 Interactions between group theory and number theory]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
'''11:15-12:15 Room VV 911'''<br />
| bgcolor="#F0B0B0" align="center" | [https://people.carleton.edu/~rfjones/ Rafe Jones (Carleton College)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#April_25_2 Eventually stable polynomials and arboreal Galois representations]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
| bgcolor="#F0B0B0" align="center" | [https://math.rice.edu/~jb93/ Jen Berg (Rice University)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#April_25_NTS Rational points on conic bundles over elliptic curves with positive rank] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
'''4:00-5:00 Room VV B239'''<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.unl.edu/~jwalker7/ Judy Walker (Nebraska)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#April_25_3 Derangements of Finite Groups]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 2<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~mmwood/ Melanie Wood (UW-Madison)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#May_2 Unramified extensions of random global fields]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 9 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.mathcs.emory.edu/~dzb/ David Zureick-Brown (Emory College of Arts and Sciences)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#May_9 Arithmetic of stacks] <br />
|- <br />
|}<br />
</center><br />
<br />
<br><br />
<br />
*to be confirmed<br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~shusterman/ Mark Shusterman]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS&diff=17351NTS2019-04-19T21:45:20Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2019 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
You can find our Fall 2018 speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Fall_2018_Semester Fall 2018].<br />
<br><br />
You can find our previous speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Spring_2018_Semester Spring 2018].<br />
<br />
= Spring 2019 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 23<br />
'''Wed. Room VV B231'''<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.princeton.edu/~yunqingt/ Yunqing Tang (Princeton University)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_23 Reductions of abelian surfaces over global function fields]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 24<br />
| bgcolor="#F0B0B0" align="center" | Hassan-Mao-Smith--Zhu<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_24 The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Jan 31<br />
| bgcolor="#F0B0B0" align="center" | [https://faculty.math.illinois.edu/~kpratt4/ Kyle Pratt (University of Illinois at Urbana-Champaign)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_31 Breaking the $\frac{1}{2}$-barrier for the twisted second moment of Dirichlet $L$-functions]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 7 <br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~shamgar/ Shamgar Gurevich (UW-Madison)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_7 Harmonic Analysis on $GL_n$ over finite fields] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 14<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~thyang/ Tonghai Yang (UW-Madison)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_14 The Lambda invariant and its CM values]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 21<br />
| bgcolor="#F0B0B0" align="center" | No Seminar<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 28<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.columbia.edu/~brianrl/ Brian Lawrence (the University of Chicago)] <br />
| bgcolor="#BCE2FE"|[https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_28 Diophantine problems and a p-adic period map.] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 7<br />
| bgcolor="#F0B0B0" align="center" |[https://sites.google.com/view/masoudzargar/ Masoud Zargar (Regensburg)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#March_7 Sections of quadrics over the affine line] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 14<br />
| bgcolor="#F0B0B0" align="center" | [http://www.its.caltech.edu/~mantovan/ Elena Mantovan (Caltech)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#March_14 p-adic automorphic forms, differential operators and Galois representations]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 21<br />
| bgcolor="#F0B0B0" align="center" | Spring Break<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 28<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.ucsb.edu/~agboola/ Adebisi Agboola (UCSB)] <br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#March_28 Relative K-groups and rings of integers]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 4<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.tamu.edu/~wltsai/ Wei-Lun Tsai (Texas A&M University)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#April_4 Hecke L-functions and $\ell$ torsion in class groups]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 11<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~tmcadam/ Taylor McAdam (UCSD)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#April_11 Almost-prime times in horospherical flows]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 18 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~ila/ Ila Varma (UCSD)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#April_11 Malle's Conjecture for octic $D_4$-fields.]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
| bgcolor="#F0B0B0" align="center" | [https://math.rice.edu/~jb93/ Jen Berg (Rice University)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#April_25 Rational points on conic bundles over elliptic curves with positive rank] <br />
<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 2<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~mmwood/ Melanie Wood (UW-Madison)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 9 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.mathcs.emory.edu/~dzb/ David Zureick-Brown (Emory College of Arts and Sciences)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
|}<br />
</center><br />
<br />
<br><br />
<br />
*to be confirmed<br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~shusterman/ Mark Shusterman]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_ABSTRACTSpring2019&diff=17292NTS ABSTRACTSpring20192019-04-08T15:30:09Z<p>Ntalebiz: </p>
<hr />
<div>Return to [https://www.math.wisc.edu/wiki/index.php/NTS ]<br />
<br />
<br />
== Jan 23 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Yunqing Tang '''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Reductions of abelian surfaces over global function fields<br />
|-<br />
| bgcolor="#BCD2EE" | For a non-isotrivial ordinary abelian surface $A$ over a global function field, under mild assumptions, we prove that there are infinitely many places modulo which $A$ is geometrically isogenous to the product of two elliptic curves. This result can be viewed as a generalization of a theorem of Chai and Oort. This is joint work with Davesh Maulik and Ananth Shankar.<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== Jan 24 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Hassan-Mao-Smith--Zhu'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Assume a polynomial-time algorithm for factoring integers, Conjecture~\ref{conj}, $d\geq 3,$ and $q$ and $p$ prime numbers, where $p\leq q^A$ for some $A>0$. We develop a polynomial-time algorithm in $\log(q)$ that lifts every $\mathbb{Z}/q\mathbb{Z}$ point of $S^{d-2}\subset S^{d}$ to a $\mathbb{Z}[1/p]$ point of $S^d$ with the minimum height. We implement our algorithm for $d=3 \text{ and }4$. Based on our numerical results, we formulate a conjecture which can be checked in polynomial-time and gives the optimal bound on the diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$. <br />
<br />
|} <br />
</center><br />
<br />
<br />
== Jan 31 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Kyle Pratt'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Breaking the $\frac{1}{2}$-barrier for the twisted second moment of Dirichlet $L$-functions<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: I will discuss recent work, joint with Bui, Robles, and Zaharescu, on a moment problem for Dirichlet $L$-functions. By way of motivation I will spend some time discussing the Lindel\"of Hypothesis, and work of Bettin, Chandee, and Radziwi\l\l. The talk will be accessible, as I will give lots of background information and will not dwell on technicalities. <br />
<br />
|} <br />
</center><br />
<br />
== Feb 7 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Shamgar Gurevich'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Harmonic Analysis on $GL_n$ over finite fields<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: There are many formulas that express interesting properties of a group G in terms of sums over its characters.<br />
For evaluating or estimating these sums, one of the most salient quantities to understand is the {\it character ratio}:<br />
$$trace (\rho(g))/dim (\rho),$$<br />
for an irreducible representation $\rho$ of G and an element g of G. For example, Diaconis and Shahshahani stated a formula of this type for analyzing G-biinvariant random walks on G. It turns out that, for classical groups G over finite fields (which provide most examples of finite simple groups), there is a natural invariant of representations that provides strong information on the character ratio. We call this invariant {\it rank}. This talk will discuss the notion of rank for GLn over finite fields, and apply the results to random walks. This is joint work with Roger Howe (TAMU).<br />
<br />
|} <br />
</center><br />
<br />
== Feb 14 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Tonghai Yang'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | The Lambda invariant and its CM values<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: The Lambda invariant which parametrizes elliptic curves with two torsions (X_0(2)) has some interesting properties, some similar to that of the j-invariants, and some not. For example, $\lambda(\frac{d+\sqrt d}2)$ is a unit sometime. In this talk, I will briefly describe some of the properties. This is joint work with Hongbo Yin and Peng Yu.<br />
<br />
|} <br />
</center><br />
<br />
== Feb 28 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Brian Lawrence'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Diophantine problems and a p-adic period map.<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: I will outline a proof of Mordell's conjecture / Faltings's theorem using p-adic Hodge theory. Joint with Akshay Venkatesh.<br />
<br />
|} <br />
</center><br />
<br />
== March 7==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Masoud Zargar'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Sections of quadrics over the affine line<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Abstract: Suppose we have a quadratic form Q(x) in d\geq 4 variables over F_q[t] and f(t) is a polynomial over F_q. We consider the affine variety X given by the equation Q(x)=f(t) as a family of varieties over the affine line A^1_{F_q}. Given finitely many closed points in distinct fibers of this family, we ask when there exists a section passing through these points. We study this problem using the circle method over F_q((1/t)). Time permitting, I will mention connections to Lubotzky-Phillips-Sarnak (LPS) Ramanujan graphs. Joint with Naser T. Sardari<br />
<br />
|} <br />
</center><br />
<br />
== March 14==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Elena Mantovan'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | p-adic automorphic forms, differential operators and Galois representations<br />
|-<br />
| bgcolor="#BCD2EE" | A strategy pioneered by Serre and Katz in the 1970s yields a construction of p-adic families of modular forms via the study of Serre's weight-raising differential operator Theta. This construction is a key ingredient in Deligne-Serre's theorem associating Galois representations to modular forms of weight 1, and in the study of the weight part of Serre's conjecture. In this talk I will discuss recent progress towards generalizing this theory to automorphic forms on unitary and symplectic Shimura varieites. In particular, I will introduce certain p-adic analogues of Maass-Shimura weight-raising differential operators, and discuss their action on p-adic automorphic forms, and on the associated mod p Galois representations. In contrast with Serre's classical approach where q-expansions play a prominent role, our approach is geometric in nature and is inspired by earlier work of Katz and Gross.<br />
This talk is based joint work with Eishen, and also with Fintzen--Varma, and with Flander--Ghitza--McAndrew.<br />
<br />
|} <br />
</center><br />
<br />
== March 28==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Adebisi Agboola'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" |Relative K-groups and rings of integers<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Suppose that F is a number field and G is a finite group. I shall discuss a conjecture in relative algebraic K-theory (in essence, a conjectural Hasse principle applied to certain relative algebraic K-groups) that implies an affirmative answer to both the inverse Galois problem for F and G and to an analogous problem concerning the Galois module structure of rings of integers in tame extensions of F. It also implies the weak Malle conjecture on counting tame G-extensions of F according to discriminant. The K-theoretic conjecture can be proved in many cases (subject to mild technical conditions), e.g. when G is of odd order, giving a partial analogue of a classical theorem of Shafarevich in this setting. While this approach does not, as yet, resolve any new cases of the inverse Galois problem, it does yield substantial new results concerning both the Galois module structure of rings of integers and the weak Malle conjecture.<br />
<br />
|} <br />
</center><br />
<br />
== April 4==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Wei-Lun Tsai'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" |Hecke L-functions and $\ell$ torsion in class groups<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: The canonical Hecke characters in the sense of Rohrlich form a <br />
set of algebraic Hecke characters with important arithmetic properties.<br />
In this talk, we will explain how one can prove quantitative <br />
nonvanishing results for the central values of their corresponding <br />
L-functions using methods of an arithmetic statistical flavor. In <br />
particular, the methods used rely crucially on recent work of Ellenberg, <br />
Pierce, and Wood concerning bounds for $\ell$-torsion in class groups of <br />
number fields. This is joint work with Byoung Du Kim and Riad Masri.<br />
|} <br />
</center><br />
<br />
== April 11==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Taylor Mcadam'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" |Almost-prime times in horospherical flows<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Equidistribution results play an important role in dynamical systems and their applications in number theory. Often in such applications it is desirable for equidistribution to be effective (i.e. the rate of convergence is known). In this talk I will discuss some of the history of effective equidistribution results in homogeneous dynamics and give an effective result for horospherical flows on the space of lattices. I will then describe an application to studying the distribution of almost-prime times in horospherical orbits and discuss connections of this work to Sarnak’s Mobius disjointness conjecture.<br />
|} <br />
</center><br />
<br />
== April 18==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Ila Varma'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" |Malle's Conjecture for octic $D_4$-fields.<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: We consider the family of normal octic fields with Galois group $D_4$, ordered by their discriminant. In forthcoming joint work with Arul Shankar, we verify the strong Malle conjecture for this family of number fields, obtaining the order of growth as well as the constant of proportionality. In this talk, we will discuss and review the combination of techniques from analytic number theory and geometry-of-numbers methods used to prove these results.<br />
|} <br />
</center></div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS&diff=17291NTS2019-04-08T15:28:48Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2019 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
You can find our Fall 2018 speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Fall_2018_Semester Fall 2018].<br />
<br><br />
You can find our previous speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Spring_2018_Semester Spring 2018].<br />
<br />
= Spring 2019 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 23<br />
'''Wed. Room VV B231'''<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.princeton.edu/~yunqingt/ Yunqing Tang (Princeton University)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_23 Reductions of abelian surfaces over global function fields]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 24<br />
| bgcolor="#F0B0B0" align="center" | Hassan-Mao-Smith--Zhu<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_24 The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Jan 31<br />
| bgcolor="#F0B0B0" align="center" | [https://faculty.math.illinois.edu/~kpratt4/ Kyle Pratt (University of Illinois at Urbana-Champaign)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_31 Breaking the $\frac{1}{2}$-barrier for the twisted second moment of Dirichlet $L$-functions]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 7 <br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~shamgar/ Shamgar Gurevich (UW-Madison)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_7 Harmonic Analysis on $GL_n$ over finite fields] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 14<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~thyang/ Tonghai Yang (UW-Madison)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_14 The Lambda invariant and its CM values]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 21<br />
| bgcolor="#F0B0B0" align="center" | No Seminar<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 28<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.columbia.edu/~brianrl/ Brian Lawrence (the University of Chicago)] <br />
| bgcolor="#BCE2FE"|[https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_28 Diophantine problems and a p-adic period map.] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 7<br />
| bgcolor="#F0B0B0" align="center" |[https://sites.google.com/view/masoudzargar/ Masoud Zargar (Regensburg)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#March_7 Sections of quadrics over the affine line] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 14<br />
| bgcolor="#F0B0B0" align="center" | [http://www.its.caltech.edu/~mantovan/ Elena Mantovan (Caltech)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#March_14 p-adic automorphic forms, differential operators and Galois representations]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 21<br />
| bgcolor="#F0B0B0" align="center" | Spring Break<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 28<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.ucsb.edu/~agboola/ Adebisi Agboola (UCSB)] <br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#March_28 Relative K-groups and rings of integers]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 4<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.tamu.edu/~wltsai/ Wei-Lun Tsai (Texas A&M University)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#April_4 Hecke L-functions and $\ell$ torsion in class groups]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 11<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~tmcadam/ Taylor McAdam (UCSD)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#April_11 Almost-prime times in horospherical flows]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 18 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~ila/ Ila Varma (UCSD)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#April_11 Malle's Conjecture for octic $D_4$-fields.]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
| bgcolor="#F0B0B0" align="center" | [https://math.rice.edu/~jb93/ Jen Berg (Rice University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 2<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~mmwood/ Melanie Wood (UW-Madison)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 9 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.mathcs.emory.edu/~dzb/ David Zureick-Brown (Emory College of Arts and Sciences)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
|}<br />
</center><br />
<br />
<br><br />
<br />
*to be confirmed<br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~shusterman/ Mark Shusterman]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_ABSTRACTSpring2019&diff=17262NTS ABSTRACTSpring20192019-04-01T16:18:50Z<p>Ntalebiz: /* April 4 */</p>
<hr />
<div>Return to [https://www.math.wisc.edu/wiki/index.php/NTS ]<br />
<br />
<br />
== Jan 23 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Yunqing Tang '''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Reductions of abelian surfaces over global function fields<br />
|-<br />
| bgcolor="#BCD2EE" | For a non-isotrivial ordinary abelian surface $A$ over a global function field, under mild assumptions, we prove that there are infinitely many places modulo which $A$ is geometrically isogenous to the product of two elliptic curves. This result can be viewed as a generalization of a theorem of Chai and Oort. This is joint work with Davesh Maulik and Ananth Shankar.<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== Jan 24 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Hassan-Mao-Smith--Zhu'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Assume a polynomial-time algorithm for factoring integers, Conjecture~\ref{conj}, $d\geq 3,$ and $q$ and $p$ prime numbers, where $p\leq q^A$ for some $A>0$. We develop a polynomial-time algorithm in $\log(q)$ that lifts every $\mathbb{Z}/q\mathbb{Z}$ point of $S^{d-2}\subset S^{d}$ to a $\mathbb{Z}[1/p]$ point of $S^d$ with the minimum height. We implement our algorithm for $d=3 \text{ and }4$. Based on our numerical results, we formulate a conjecture which can be checked in polynomial-time and gives the optimal bound on the diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$. <br />
<br />
|} <br />
</center><br />
<br />
<br />
== Jan 31 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Kyle Pratt'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Breaking the $\frac{1}{2}$-barrier for the twisted second moment of Dirichlet $L$-functions<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: I will discuss recent work, joint with Bui, Robles, and Zaharescu, on a moment problem for Dirichlet $L$-functions. By way of motivation I will spend some time discussing the Lindel\"of Hypothesis, and work of Bettin, Chandee, and Radziwi\l\l. The talk will be accessible, as I will give lots of background information and will not dwell on technicalities. <br />
<br />
|} <br />
</center><br />
<br />
== Feb 7 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Shamgar Gurevich'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Harmonic Analysis on $GL_n$ over finite fields<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: There are many formulas that express interesting properties of a group G in terms of sums over its characters.<br />
For evaluating or estimating these sums, one of the most salient quantities to understand is the {\it character ratio}:<br />
$$trace (\rho(g))/dim (\rho),$$<br />
for an irreducible representation $\rho$ of G and an element g of G. For example, Diaconis and Shahshahani stated a formula of this type for analyzing G-biinvariant random walks on G. It turns out that, for classical groups G over finite fields (which provide most examples of finite simple groups), there is a natural invariant of representations that provides strong information on the character ratio. We call this invariant {\it rank}. This talk will discuss the notion of rank for GLn over finite fields, and apply the results to random walks. This is joint work with Roger Howe (TAMU).<br />
<br />
|} <br />
</center><br />
<br />
== Feb 14 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Tonghai Yang'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | The Lambda invariant and its CM values<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: The Lambda invariant which parametrizes elliptic curves with two torsions (X_0(2)) has some interesting properties, some similar to that of the j-invariants, and some not. For example, $\lambda(\frac{d+\sqrt d}2)$ is a unit sometime. In this talk, I will briefly describe some of the properties. This is joint work with Hongbo Yin and Peng Yu.<br />
<br />
|} <br />
</center><br />
<br />
== Feb 28 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Brian Lawrence'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Diophantine problems and a p-adic period map.<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: I will outline a proof of Mordell's conjecture / Faltings's theorem using p-adic Hodge theory. Joint with Akshay Venkatesh.<br />
<br />
|} <br />
</center><br />
<br />
== March 7==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Masoud Zargar'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Sections of quadrics over the affine line<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Abstract: Suppose we have a quadratic form Q(x) in d\geq 4 variables over F_q[t] and f(t) is a polynomial over F_q. We consider the affine variety X given by the equation Q(x)=f(t) as a family of varieties over the affine line A^1_{F_q}. Given finitely many closed points in distinct fibers of this family, we ask when there exists a section passing through these points. We study this problem using the circle method over F_q((1/t)). Time permitting, I will mention connections to Lubotzky-Phillips-Sarnak (LPS) Ramanujan graphs. Joint with Naser T. Sardari<br />
<br />
|} <br />
</center><br />
<br />
== March 14==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Elena Mantovan'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | p-adic automorphic forms, differential operators and Galois representations<br />
|-<br />
| bgcolor="#BCD2EE" | A strategy pioneered by Serre and Katz in the 1970s yields a construction of p-adic families of modular forms via the study of Serre's weight-raising differential operator Theta. This construction is a key ingredient in Deligne-Serre's theorem associating Galois representations to modular forms of weight 1, and in the study of the weight part of Serre's conjecture. In this talk I will discuss recent progress towards generalizing this theory to automorphic forms on unitary and symplectic Shimura varieites. In particular, I will introduce certain p-adic analogues of Maass-Shimura weight-raising differential operators, and discuss their action on p-adic automorphic forms, and on the associated mod p Galois representations. In contrast with Serre's classical approach where q-expansions play a prominent role, our approach is geometric in nature and is inspired by earlier work of Katz and Gross.<br />
This talk is based joint work with Eishen, and also with Fintzen--Varma, and with Flander--Ghitza--McAndrew.<br />
<br />
|} <br />
</center><br />
<br />
== March 28==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Adebisi Agboola '''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" |Relative K-groups and rings of integers<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Suppose that F is a number field and G is a finite group. I shall discuss a conjecture in relative algebraic K-theory (in essence, a conjectural Hasse principle applied to certain relative algebraic K-groups) that implies an affirmative answer to both the inverse Galois problem for F and G and to an analogous problem concerning the Galois module structure of rings of integers in tame extensions of F. It also implies the weak Malle conjecture on counting tame G-extensions of F according to discriminant. The K-theoretic conjecture can be proved in many cases (subject to mild technical conditions), e.g. when G is of odd order, giving a partial analogue of a classical theorem of Shafarevich in this setting. While this approach does not, as yet, resolve any new cases of the inverse Galois problem, it does yield substantial new results concerning both the Galois module structure of rings of integers and the weak Malle conjecture.<br />
<br />
|} <br />
</center><br />
<br />
== April 4==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Wei-Lun Tsai '''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" |Hecke L-functions and $\ell$ torsion in class groups<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: The canonical Hecke characters in the sense of Rohrlich form a <br />
set of algebraic Hecke characters with important arithmetic properties.<br />
In this talk, we will explain how one can prove quantitative <br />
nonvanishing results for the central values of their corresponding <br />
L-functions using methods of an arithmetic statistical flavor. In <br />
particular, the methods used rely crucially on recent work of Ellenberg, <br />
Pierce, and Wood concerning bounds for $\ell$-torsion in class groups of <br />
number fields. This is joint work with Byoung Du Kim and Riad Masri.<br />
|} <br />
</center></div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_ABSTRACTSpring2019&diff=17261NTS ABSTRACTSpring20192019-04-01T16:18:14Z<p>Ntalebiz: </p>
<hr />
<div>Return to [https://www.math.wisc.edu/wiki/index.php/NTS ]<br />
<br />
<br />
== Jan 23 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Yunqing Tang '''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Reductions of abelian surfaces over global function fields<br />
|-<br />
| bgcolor="#BCD2EE" | For a non-isotrivial ordinary abelian surface $A$ over a global function field, under mild assumptions, we prove that there are infinitely many places modulo which $A$ is geometrically isogenous to the product of two elliptic curves. This result can be viewed as a generalization of a theorem of Chai and Oort. This is joint work with Davesh Maulik and Ananth Shankar.<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== Jan 24 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Hassan-Mao-Smith--Zhu'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Assume a polynomial-time algorithm for factoring integers, Conjecture~\ref{conj}, $d\geq 3,$ and $q$ and $p$ prime numbers, where $p\leq q^A$ for some $A>0$. We develop a polynomial-time algorithm in $\log(q)$ that lifts every $\mathbb{Z}/q\mathbb{Z}$ point of $S^{d-2}\subset S^{d}$ to a $\mathbb{Z}[1/p]$ point of $S^d$ with the minimum height. We implement our algorithm for $d=3 \text{ and }4$. Based on our numerical results, we formulate a conjecture which can be checked in polynomial-time and gives the optimal bound on the diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$. <br />
<br />
|} <br />
</center><br />
<br />
<br />
== Jan 31 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Kyle Pratt'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Breaking the $\frac{1}{2}$-barrier for the twisted second moment of Dirichlet $L$-functions<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: I will discuss recent work, joint with Bui, Robles, and Zaharescu, on a moment problem for Dirichlet $L$-functions. By way of motivation I will spend some time discussing the Lindel\"of Hypothesis, and work of Bettin, Chandee, and Radziwi\l\l. The talk will be accessible, as I will give lots of background information and will not dwell on technicalities. <br />
<br />
|} <br />
</center><br />
<br />
== Feb 7 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Shamgar Gurevich'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Harmonic Analysis on $GL_n$ over finite fields<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: There are many formulas that express interesting properties of a group G in terms of sums over its characters.<br />
For evaluating or estimating these sums, one of the most salient quantities to understand is the {\it character ratio}:<br />
$$trace (\rho(g))/dim (\rho),$$<br />
for an irreducible representation $\rho$ of G and an element g of G. For example, Diaconis and Shahshahani stated a formula of this type for analyzing G-biinvariant random walks on G. It turns out that, for classical groups G over finite fields (which provide most examples of finite simple groups), there is a natural invariant of representations that provides strong information on the character ratio. We call this invariant {\it rank}. This talk will discuss the notion of rank for GLn over finite fields, and apply the results to random walks. This is joint work with Roger Howe (TAMU).<br />
<br />
|} <br />
</center><br />
<br />
== Feb 14 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Tonghai Yang'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | The Lambda invariant and its CM values<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: The Lambda invariant which parametrizes elliptic curves with two torsions (X_0(2)) has some interesting properties, some similar to that of the j-invariants, and some not. For example, $\lambda(\frac{d+\sqrt d}2)$ is a unit sometime. In this talk, I will briefly describe some of the properties. This is joint work with Hongbo Yin and Peng Yu.<br />
<br />
|} <br />
</center><br />
<br />
== Feb 28 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Brian Lawrence'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Diophantine problems and a p-adic period map.<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: I will outline a proof of Mordell's conjecture / Faltings's theorem using p-adic Hodge theory. Joint with Akshay Venkatesh.<br />
<br />
|} <br />
</center><br />
<br />
== March 7==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Masoud Zargar'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Sections of quadrics over the affine line<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Abstract: Suppose we have a quadratic form Q(x) in d\geq 4 variables over F_q[t] and f(t) is a polynomial over F_q. We consider the affine variety X given by the equation Q(x)=f(t) as a family of varieties over the affine line A^1_{F_q}. Given finitely many closed points in distinct fibers of this family, we ask when there exists a section passing through these points. We study this problem using the circle method over F_q((1/t)). Time permitting, I will mention connections to Lubotzky-Phillips-Sarnak (LPS) Ramanujan graphs. Joint with Naser T. Sardari<br />
<br />
|} <br />
</center><br />
<br />
== March 14==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Elena Mantovan'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | p-adic automorphic forms, differential operators and Galois representations<br />
|-<br />
| bgcolor="#BCD2EE" | A strategy pioneered by Serre and Katz in the 1970s yields a construction of p-adic families of modular forms via the study of Serre's weight-raising differential operator Theta. This construction is a key ingredient in Deligne-Serre's theorem associating Galois representations to modular forms of weight 1, and in the study of the weight part of Serre's conjecture. In this talk I will discuss recent progress towards generalizing this theory to automorphic forms on unitary and symplectic Shimura varieites. In particular, I will introduce certain p-adic analogues of Maass-Shimura weight-raising differential operators, and discuss their action on p-adic automorphic forms, and on the associated mod p Galois representations. In contrast with Serre's classical approach where q-expansions play a prominent role, our approach is geometric in nature and is inspired by earlier work of Katz and Gross.<br />
This talk is based joint work with Eishen, and also with Fintzen--Varma, and with Flander--Ghitza--McAndrew.<br />
<br />
|} <br />
</center><br />
<br />
== March 28==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Adebisi Agboola '''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" |Relative K-groups and rings of integers<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Suppose that F is a number field and G is a finite group. I shall discuss a conjecture in relative algebraic K-theory (in essence, a conjectural Hasse principle applied to certain relative algebraic K-groups) that implies an affirmative answer to both the inverse Galois problem for F and G and to an analogous problem concerning the Galois module structure of rings of integers in tame extensions of F. It also implies the weak Malle conjecture on counting tame G-extensions of F according to discriminant. The K-theoretic conjecture can be proved in many cases (subject to mild technical conditions), e.g. when G is of odd order, giving a partial analogue of a classical theorem of Shafarevich in this setting. While this approach does not, as yet, resolve any new cases of the inverse Galois problem, it does yield substantial new results concerning both the Galois module structure of rings of integers and the weak Malle conjecture.<br />
<br />
|} <br />
</center><br />
<br />
== April 4==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Adebisi Agboola '''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" |Hecke L-functions and $\ell$ torsion in class groups<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: The canonical Hecke characters in the sense of Rohrlich form a <br />
set of algebraic Hecke characters with important arithmetic properties.<br />
In this talk, we will explain how one can prove quantitative <br />
nonvanishing results for the central values of their corresponding <br />
L-functions using methods of an arithmetic statistical flavor. In <br />
particular, the methods used rely crucially on recent work of Ellenberg, <br />
Pierce, and Wood concerning bounds for $\ell$-torsion in class groups of <br />
number fields. This is joint work with Byoung Du Kim and Riad Masri.<br />
|} <br />
</center></div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS&diff=17260NTS2019-04-01T16:17:26Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2019 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
You can find our Fall 2018 speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Fall_2018_Semester Fall 2018].<br />
<br><br />
You can find our previous speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Spring_2018_Semester Spring 2018].<br />
<br />
= Spring 2019 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 23<br />
'''Wed. Room VV B231'''<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.princeton.edu/~yunqingt/ Yunqing Tang (Princeton University)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_23 Reductions of abelian surfaces over global function fields]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 24<br />
| bgcolor="#F0B0B0" align="center" | Hassan-Mao-Smith--Zhu<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_24 The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Jan 31<br />
| bgcolor="#F0B0B0" align="center" | [https://faculty.math.illinois.edu/~kpratt4/ Kyle Pratt (University of Illinois at Urbana-Champaign)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_31 Breaking the $\frac{1}{2}$-barrier for the twisted second moment of Dirichlet $L$-functions]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 7 <br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~shamgar/ Shamgar Gurevich (UW-Madison)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_7 Harmonic Analysis on $GL_n$ over finite fields] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 14<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~thyang/ Tonghai Yang (UW-Madison)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_14 The Lambda invariant and its CM values]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 21<br />
| bgcolor="#F0B0B0" align="center" | No Seminar<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 28<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.columbia.edu/~brianrl/ Brian Lawrence (the University of Chicago)] <br />
| bgcolor="#BCE2FE"|[https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_28 Diophantine problems and a p-adic period map.] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 7<br />
| bgcolor="#F0B0B0" align="center" |[https://sites.google.com/view/masoudzargar/ Masoud Zargar (Regensburg)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#March_7 Sections of quadrics over the affine line] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 14<br />
| bgcolor="#F0B0B0" align="center" | [http://www.its.caltech.edu/~mantovan/ Elena Mantovan (Caltech)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#March_14 p-adic automorphic forms, differential operators and Galois representations]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 21<br />
| bgcolor="#F0B0B0" align="center" | Spring Break<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 28<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.ucsb.edu/~agboola/ Adebisi Agboola (UCSB)] <br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#March_28 Relative K-groups and rings of integers]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 4<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.tamu.edu/~wltsai/ Wei-Lun Tsai (Texas A&M University)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#March_28 Hecke L-functions and $\ell$ torsion in class groups]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 11<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~tmcadam/ Taylor McAdam (UCSD)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 18 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~ila/ Ila Varma (UCSD)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
| bgcolor="#F0B0B0" align="center" | [https://math.rice.edu/~jb93/ Jen Berg (Rice University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 2<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~mmwood/ Melanie Wood (UW-Madison)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 9 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.mathcs.emory.edu/~dzb/ David Zureick-Brown (Emory College of Arts and Sciences)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
|}<br />
</center><br />
<br />
<br><br />
<br />
*to be confirmed<br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~shusterman/ Mark Shusterman]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS&diff=17194NTS2019-03-22T17:56:10Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2019 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
You can find our Fall 2018 speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Fall_2018_Semester Fall 2018].<br />
<br><br />
You can find our previous speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Spring_2018_Semester Spring 2018].<br />
<br />
= Spring 2019 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 23<br />
'''Wed. Room VV B231'''<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.princeton.edu/~yunqingt/ Yunqing Tang (Princeton University)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_23 Reductions of abelian surfaces over global function fields]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 24<br />
| bgcolor="#F0B0B0" align="center" | Hassan-Mao-Smith--Zhu<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_24 The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Jan 31<br />
| bgcolor="#F0B0B0" align="center" | [https://faculty.math.illinois.edu/~kpratt4/ Kyle Pratt (University of Illinois at Urbana-Champaign)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_31 Breaking the $\frac{1}{2}$-barrier for the twisted second moment of Dirichlet $L$-functions]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 7 <br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~shamgar/ Shamgar Gurevich (UW-Madison)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_7 Harmonic Analysis on $GL_n$ over finite fields] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 14<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~thyang/ Tonghai Yang (UW-Madison)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_14 The Lambda invariant and its CM values]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 21<br />
| bgcolor="#F0B0B0" align="center" | No Seminar<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 28<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.columbia.edu/~brianrl/ Brian Lawrence (the University of Chicago)] <br />
| bgcolor="#BCE2FE"|[https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_28 Diophantine problems and a p-adic period map.] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 7<br />
| bgcolor="#F0B0B0" align="center" |[https://sites.google.com/view/masoudzargar/ Masoud Zargar (Regensburg)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#March_7 Sections of quadrics over the affine line] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 14<br />
| bgcolor="#F0B0B0" align="center" | [http://www.its.caltech.edu/~mantovan/ Elena Mantovan (Caltech)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#March_14 p-adic automorphic forms, differential operators and Galois representations]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 21<br />
| bgcolor="#F0B0B0" align="center" | Spring Break<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 28<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.ucsb.edu/~agboola/ Adebisi Agboola (UCSB)] <br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#March_28 Relative K-groups and rings of integers]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 4<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.tamu.edu/~wltsai/ Wei-Lun Tsai (Texas A&M University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 11<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~tmcadam/ Taylor McAdam (UCSD)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 18 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~ila/ Ila Varma (UCSD)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
| bgcolor="#F0B0B0" align="center" | [https://math.rice.edu/~jb93/ Jen Berg (Rice University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 2<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~mmwood/ Melanie Wood (UW-Madison)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 9 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.mathcs.emory.edu/~dzb/ David Zureick-Brown (Emory College of Arts and Sciences)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
|}<br />
</center><br />
<br />
<br><br />
<br />
*to be confirmed<br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~shusterman/ Mark Shusterman]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_ABSTRACTSpring2019&diff=17193NTS ABSTRACTSpring20192019-03-22T17:55:51Z<p>Ntalebiz: /* March 28 */</p>
<hr />
<div>Return to [https://www.math.wisc.edu/wiki/index.php/NTS ]<br />
<br />
<br />
== Jan 23 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Yunqing Tang '''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Reductions of abelian surfaces over global function fields<br />
|-<br />
| bgcolor="#BCD2EE" | For a non-isotrivial ordinary abelian surface $A$ over a global function field, under mild assumptions, we prove that there are infinitely many places modulo which $A$ is geometrically isogenous to the product of two elliptic curves. This result can be viewed as a generalization of a theorem of Chai and Oort. This is joint work with Davesh Maulik and Ananth Shankar.<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== Jan 24 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Hassan-Mao-Smith--Zhu'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Assume a polynomial-time algorithm for factoring integers, Conjecture~\ref{conj}, $d\geq 3,$ and $q$ and $p$ prime numbers, where $p\leq q^A$ for some $A>0$. We develop a polynomial-time algorithm in $\log(q)$ that lifts every $\mathbb{Z}/q\mathbb{Z}$ point of $S^{d-2}\subset S^{d}$ to a $\mathbb{Z}[1/p]$ point of $S^d$ with the minimum height. We implement our algorithm for $d=3 \text{ and }4$. Based on our numerical results, we formulate a conjecture which can be checked in polynomial-time and gives the optimal bound on the diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$. <br />
<br />
|} <br />
</center><br />
<br />
<br />
== Jan 31 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Kyle Pratt'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Breaking the $\frac{1}{2}$-barrier for the twisted second moment of Dirichlet $L$-functions<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: I will discuss recent work, joint with Bui, Robles, and Zaharescu, on a moment problem for Dirichlet $L$-functions. By way of motivation I will spend some time discussing the Lindel\"of Hypothesis, and work of Bettin, Chandee, and Radziwi\l\l. The talk will be accessible, as I will give lots of background information and will not dwell on technicalities. <br />
<br />
|} <br />
</center><br />
<br />
== Feb 7 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Shamgar Gurevich'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Harmonic Analysis on $GL_n$ over finite fields<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: There are many formulas that express interesting properties of a group G in terms of sums over its characters.<br />
For evaluating or estimating these sums, one of the most salient quantities to understand is the {\it character ratio}:<br />
$$trace (\rho(g))/dim (\rho),$$<br />
for an irreducible representation $\rho$ of G and an element g of G. For example, Diaconis and Shahshahani stated a formula of this type for analyzing G-biinvariant random walks on G. It turns out that, for classical groups G over finite fields (which provide most examples of finite simple groups), there is a natural invariant of representations that provides strong information on the character ratio. We call this invariant {\it rank}. This talk will discuss the notion of rank for GLn over finite fields, and apply the results to random walks. This is joint work with Roger Howe (TAMU).<br />
<br />
|} <br />
</center><br />
<br />
== Feb 14 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Tonghai Yang'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | The Lambda invariant and its CM values<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: The Lambda invariant which parametrizes elliptic curves with two torsions (X_0(2)) has some interesting properties, some similar to that of the j-invariants, and some not. For example, $\lambda(\frac{d+\sqrt d}2)$ is a unit sometime. In this talk, I will briefly describe some of the properties. This is joint work with Hongbo Yin and Peng Yu.<br />
<br />
|} <br />
</center><br />
<br />
== Feb 28 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Brian Lawrence'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Diophantine problems and a p-adic period map.<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: I will outline a proof of Mordell's conjecture / Faltings's theorem using p-adic Hodge theory. Joint with Akshay Venkatesh.<br />
<br />
|} <br />
</center><br />
<br />
== March 7==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Masoud Zargar'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Sections of quadrics over the affine line<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Abstract: Suppose we have a quadratic form Q(x) in d\geq 4 variables over F_q[t] and f(t) is a polynomial over F_q. We consider the affine variety X given by the equation Q(x)=f(t) as a family of varieties over the affine line A^1_{F_q}. Given finitely many closed points in distinct fibers of this family, we ask when there exists a section passing through these points. We study this problem using the circle method over F_q((1/t)). Time permitting, I will mention connections to Lubotzky-Phillips-Sarnak (LPS) Ramanujan graphs. Joint with Naser T. Sardari<br />
<br />
|} <br />
</center><br />
<br />
== March 14==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Elena Mantovan'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | p-adic automorphic forms, differential operators and Galois representations<br />
|-<br />
| bgcolor="#BCD2EE" | A strategy pioneered by Serre and Katz in the 1970s yields a construction of p-adic families of modular forms via the study of Serre's weight-raising differential operator Theta. This construction is a key ingredient in Deligne-Serre's theorem associating Galois representations to modular forms of weight 1, and in the study of the weight part of Serre's conjecture. In this talk I will discuss recent progress towards generalizing this theory to automorphic forms on unitary and symplectic Shimura varieites. In particular, I will introduce certain p-adic analogues of Maass-Shimura weight-raising differential operators, and discuss their action on p-adic automorphic forms, and on the associated mod p Galois representations. In contrast with Serre's classical approach where q-expansions play a prominent role, our approach is geometric in nature and is inspired by earlier work of Katz and Gross.<br />
This talk is based joint work with Eishen, and also with Fintzen--Varma, and with Flander--Ghitza--McAndrew.<br />
<br />
|} <br />
</center><br />
<br />
== March 28==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Adebisi Agboola '''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" |Relative K-groups and rings of integers<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Suppose that F is a number field and G is a finite group. I shall discuss a conjecture in relative algebraic K-theory (in essence, a conjectural Hasse principle applied to certain relative algebraic K-groups) that implies an affirmative answer to both the inverse Galois problem for F and G and to an analogous problem concerning the Galois module structure of rings of integers in tame extensions of F. It also implies the weak Malle conjecture on counting tame G-extensions of F according to discriminant. The K-theoretic conjecture can be proved in many cases (subject to mild technical conditions), e.g. when G is of odd order, giving a partial analogue of a classical theorem of Shafarevich in this setting. While this approach does not, as yet, resolve any new cases of the inverse Galois problem, it does yield substantial new results concerning both the Galois module structure of rings of integers and the weak Malle conjecture.<br />
<br />
|} <br />
</center></div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_ABSTRACTSpring2019&diff=17192NTS ABSTRACTSpring20192019-03-22T17:55:13Z<p>Ntalebiz: </p>
<hr />
<div>Return to [https://www.math.wisc.edu/wiki/index.php/NTS ]<br />
<br />
<br />
== Jan 23 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Yunqing Tang '''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Reductions of abelian surfaces over global function fields<br />
|-<br />
| bgcolor="#BCD2EE" | For a non-isotrivial ordinary abelian surface $A$ over a global function field, under mild assumptions, we prove that there are infinitely many places modulo which $A$ is geometrically isogenous to the product of two elliptic curves. This result can be viewed as a generalization of a theorem of Chai and Oort. This is joint work with Davesh Maulik and Ananth Shankar.<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== Jan 24 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Hassan-Mao-Smith--Zhu'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Assume a polynomial-time algorithm for factoring integers, Conjecture~\ref{conj}, $d\geq 3,$ and $q$ and $p$ prime numbers, where $p\leq q^A$ for some $A>0$. We develop a polynomial-time algorithm in $\log(q)$ that lifts every $\mathbb{Z}/q\mathbb{Z}$ point of $S^{d-2}\subset S^{d}$ to a $\mathbb{Z}[1/p]$ point of $S^d$ with the minimum height. We implement our algorithm for $d=3 \text{ and }4$. Based on our numerical results, we formulate a conjecture which can be checked in polynomial-time and gives the optimal bound on the diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$. <br />
<br />
|} <br />
</center><br />
<br />
<br />
== Jan 31 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Kyle Pratt'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Breaking the $\frac{1}{2}$-barrier for the twisted second moment of Dirichlet $L$-functions<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: I will discuss recent work, joint with Bui, Robles, and Zaharescu, on a moment problem for Dirichlet $L$-functions. By way of motivation I will spend some time discussing the Lindel\"of Hypothesis, and work of Bettin, Chandee, and Radziwi\l\l. The talk will be accessible, as I will give lots of background information and will not dwell on technicalities. <br />
<br />
|} <br />
</center><br />
<br />
== Feb 7 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Shamgar Gurevich'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Harmonic Analysis on $GL_n$ over finite fields<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: There are many formulas that express interesting properties of a group G in terms of sums over its characters.<br />
For evaluating or estimating these sums, one of the most salient quantities to understand is the {\it character ratio}:<br />
$$trace (\rho(g))/dim (\rho),$$<br />
for an irreducible representation $\rho$ of G and an element g of G. For example, Diaconis and Shahshahani stated a formula of this type for analyzing G-biinvariant random walks on G. It turns out that, for classical groups G over finite fields (which provide most examples of finite simple groups), there is a natural invariant of representations that provides strong information on the character ratio. We call this invariant {\it rank}. This talk will discuss the notion of rank for GLn over finite fields, and apply the results to random walks. This is joint work with Roger Howe (TAMU).<br />
<br />
|} <br />
</center><br />
<br />
== Feb 14 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Tonghai Yang'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | The Lambda invariant and its CM values<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: The Lambda invariant which parametrizes elliptic curves with two torsions (X_0(2)) has some interesting properties, some similar to that of the j-invariants, and some not. For example, $\lambda(\frac{d+\sqrt d}2)$ is a unit sometime. In this talk, I will briefly describe some of the properties. This is joint work with Hongbo Yin and Peng Yu.<br />
<br />
|} <br />
</center><br />
<br />
== Feb 28 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Brian Lawrence'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Diophantine problems and a p-adic period map.<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: I will outline a proof of Mordell's conjecture / Faltings's theorem using p-adic Hodge theory. Joint with Akshay Venkatesh.<br />
<br />
|} <br />
</center><br />
<br />
== March 7==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Masoud Zargar'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Sections of quadrics over the affine line<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Abstract: Suppose we have a quadratic form Q(x) in d\geq 4 variables over F_q[t] and f(t) is a polynomial over F_q. We consider the affine variety X given by the equation Q(x)=f(t) as a family of varieties over the affine line A^1_{F_q}. Given finitely many closed points in distinct fibers of this family, we ask when there exists a section passing through these points. We study this problem using the circle method over F_q((1/t)). Time permitting, I will mention connections to Lubotzky-Phillips-Sarnak (LPS) Ramanujan graphs. Joint with Naser T. Sardari<br />
<br />
|} <br />
</center><br />
<br />
== March 14==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Elena Mantovan'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | p-adic automorphic forms, differential operators and Galois representations<br />
|-<br />
| bgcolor="#BCD2EE" | A strategy pioneered by Serre and Katz in the 1970s yields a construction of p-adic families of modular forms via the study of Serre's weight-raising differential operator Theta. This construction is a key ingredient in Deligne-Serre's theorem associating Galois representations to modular forms of weight 1, and in the study of the weight part of Serre's conjecture. In this talk I will discuss recent progress towards generalizing this theory to automorphic forms on unitary and symplectic Shimura varieites. In particular, I will introduce certain p-adic analogues of Maass-Shimura weight-raising differential operators, and discuss their action on p-adic automorphic forms, and on the associated mod p Galois representations. In contrast with Serre's classical approach where q-expansions play a prominent role, our approach is geometric in nature and is inspired by earlier work of Katz and Gross.<br />
This talk is based joint work with Eishen, and also with Fintzen--Varma, and with Flander--Ghitza--McAndrew.<br />
<br />
|} <br />
</center><br />
<br />
== March 28==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Elena Mantovan'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" |Relative K-groups and rings of integers<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Suppose that F is a number field and G is a finite group. I shall discuss a conjecture in relative algebraic K-theory (in essence, a conjectural Hasse principle applied to certain relative algebraic K-groups) that implies an affirmative answer to both the inverse Galois problem for F and G and to an analogous problem concerning the Galois module structure of rings of integers in tame extensions of F. It also implies the weak Malle conjecture on counting tame G-extensions of F according to discriminant. The K-theoretic conjecture can be proved in many cases (subject to mild technical conditions), e.g. when G is of odd order, giving a partial analogue of a classical theorem of Shafarevich in this setting. While this approach does not, as yet, resolve any new cases of the inverse Galois problem, it does yield substantial new results concerning both the Galois module structure of rings of integers and the weak Malle conjecture.<br />
<br />
|} <br />
</center></div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS&diff=17191NTS2019-03-22T17:53:47Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2019 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
You can find our Fall 2018 speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Fall_2018_Semester Fall 2018].<br />
<br><br />
You can find our previous speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Spring_2018_Semester Spring 2018].<br />
<br />
= Spring 2019 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 23<br />
'''Wed. Room VV B231'''<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.princeton.edu/~yunqingt/ Yunqing Tang (Princeton University)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_23 Reductions of abelian surfaces over global function fields]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 24<br />
| bgcolor="#F0B0B0" align="center" | Hassan-Mao-Smith--Zhu<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_24 The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Jan 31<br />
| bgcolor="#F0B0B0" align="center" | [https://faculty.math.illinois.edu/~kpratt4/ Kyle Pratt (University of Illinois at Urbana-Champaign)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_31 Breaking the $\frac{1}{2}$-barrier for the twisted second moment of Dirichlet $L$-functions]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 7 <br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~shamgar/ Shamgar Gurevich (UW-Madison)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_7 Harmonic Analysis on $GL_n$ over finite fields] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 14<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~thyang/ Tonghai Yang (UW-Madison)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_14 The Lambda invariant and its CM values]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 21<br />
| bgcolor="#F0B0B0" align="center" | No Seminar<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 28<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.columbia.edu/~brianrl/ Brian Lawrence (the University of Chicago)] <br />
| bgcolor="#BCE2FE"|[https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_28 Diophantine problems and a p-adic period map.] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 7<br />
| bgcolor="#F0B0B0" align="center" |[https://sites.google.com/view/masoudzargar/ Masoud Zargar (Regensburg)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#March_7 Sections of quadrics over the affine line] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 14<br />
| bgcolor="#F0B0B0" align="center" | [http://www.its.caltech.edu/~mantovan/ Elena Mantovan (Caltech)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#March_14 p-adic automorphic forms, differential operators and Galois representations]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 21<br />
| bgcolor="#F0B0B0" align="center" | Spring Break<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 28<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.ucsb.edu/~agboola/ Bisi Agboola (UCSB)] <br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#March_28 Relative K-groups and rings of integers]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 4<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.tamu.edu/~wltsai/ Wei-Lun Tsai (Texas A&M University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 11<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~tmcadam/ Taylor McAdam (UCSD)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 18 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~ila/ Ila Varma (UCSD)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
| bgcolor="#F0B0B0" align="center" | [https://math.rice.edu/~jb93/ Jen Berg (Rice University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 2<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~mmwood/ Melanie Wood (UW-Madison)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 9 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.mathcs.emory.edu/~dzb/ David Zureick-Brown (Emory College of Arts and Sciences)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
|}<br />
</center><br />
<br />
<br><br />
<br />
*to be confirmed<br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~shusterman/ Mark Shusterman]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_ABSTRACTSpring2019&diff=17088NTS ABSTRACTSpring20192019-03-02T22:31:47Z<p>Ntalebiz: </p>
<hr />
<div>Return to [https://www.math.wisc.edu/wiki/index.php/NTS ]<br />
<br />
<br />
== Jan 23 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Yunqing Tang '''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Reductions of abelian surfaces over global function fields<br />
|-<br />
| bgcolor="#BCD2EE" | For a non-isotrivial ordinary abelian surface $A$ over a global function field, under mild assumptions, we prove that there are infinitely many places modulo which $A$ is geometrically isogenous to the product of two elliptic curves. This result can be viewed as a generalization of a theorem of Chai and Oort. This is joint work with Davesh Maulik and Ananth Shankar.<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== Jan 24 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Hassan-Mao-Smith--Zhu'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Assume a polynomial-time algorithm for factoring integers, Conjecture~\ref{conj}, $d\geq 3,$ and $q$ and $p$ prime numbers, where $p\leq q^A$ for some $A>0$. We develop a polynomial-time algorithm in $\log(q)$ that lifts every $\mathbb{Z}/q\mathbb{Z}$ point of $S^{d-2}\subset S^{d}$ to a $\mathbb{Z}[1/p]$ point of $S^d$ with the minimum height. We implement our algorithm for $d=3 \text{ and }4$. Based on our numerical results, we formulate a conjecture which can be checked in polynomial-time and gives the optimal bound on the diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$. <br />
<br />
|} <br />
</center><br />
<br />
<br />
== Jan 31 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Kyle Pratt'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Breaking the $\frac{1}{2}$-barrier for the twisted second moment of Dirichlet $L$-functions<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: I will discuss recent work, joint with Bui, Robles, and Zaharescu, on a moment problem for Dirichlet $L$-functions. By way of motivation I will spend some time discussing the Lindel\"of Hypothesis, and work of Bettin, Chandee, and Radziwi\l\l. The talk will be accessible, as I will give lots of background information and will not dwell on technicalities. <br />
<br />
|} <br />
</center><br />
<br />
== Feb 7 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Shamgar Gurevich'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Harmonic Analysis on $GL_n$ over finite fields<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: There are many formulas that express interesting properties of a group G in terms of sums over its characters.<br />
For evaluating or estimating these sums, one of the most salient quantities to understand is the {\it character ratio}:<br />
$$trace (\rho(g))/dim (\rho),$$<br />
for an irreducible representation $\rho$ of G and an element g of G. For example, Diaconis and Shahshahani stated a formula of this type for analyzing G-biinvariant random walks on G. It turns out that, for classical groups G over finite fields (which provide most examples of finite simple groups), there is a natural invariant of representations that provides strong information on the character ratio. We call this invariant {\it rank}. This talk will discuss the notion of rank for GLn over finite fields, and apply the results to random walks. This is joint work with Roger Howe (TAMU).<br />
<br />
|} <br />
</center><br />
<br />
== Feb 14 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Tonghai Yang'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | The Lambda invariant and its CM values<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: The Lambda invariant which parametrizes elliptic curves with two torsions (X_0(2)) has some interesting properties, some similar to that of the j-invariants, and some not. For example, $\lambda(\frac{d+\sqrt d}2)$ is a unit sometime. In this talk, I will briefly describe some of the properties. This is joint work with Hongbo Yin and Peng Yu.<br />
<br />
|} <br />
</center><br />
<br />
== Feb 28 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Brian Lawrence'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Diophantine problems and a p-adic period map.<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: I will outline a proof of Mordell's conjecture / Faltings's theorem using p-adic Hodge theory. Joint with Akshay Venkatesh.<br />
<br />
|} <br />
</center><br />
<br />
== March 7==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Masoud Zargar'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Sections of quadrics over the affine line<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Abstract: Suppose we have a quadratic form Q(x) in d\geq 4 variables over F_q[t] and f(t) is a polynomial over F_q. We consider the affine variety X given by the equation Q(x)=f(t) as a family of varieties over the affine line A^1_{F_q}. Given finitely many closed points in distinct fibers of this family, we ask when there exists a section passing through these points. We study this problem using the circle method over F_q((1/t)). Time permitting, I will mention connections to Lubotzky-Phillips-Sarnak (LPS) Ramanujan graphs. Joint with Naser T. Sardari</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS&diff=17087NTS2019-03-02T22:29:18Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2019 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
You can find our Fall 2018 speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Fall_2018_Semester Fall 2018].<br />
<br><br />
You can find our previous speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Spring_2018_Semester Spring 2018].<br />
<br />
= Spring 2019 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 23<br />
'''Wed. Room VV B231'''<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.princeton.edu/~yunqingt/ Yunqing Tang (Princeton University)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_23 Reductions of abelian surfaces over global function fields]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 24<br />
| bgcolor="#F0B0B0" align="center" | Hassan-Mao-Smith--Zhu<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_24 The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Jan 31<br />
| bgcolor="#F0B0B0" align="center" | [https://faculty.math.illinois.edu/~kpratt4/ Kyle Pratt (University of Illinois at Urbana-Champaign)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_31 Breaking the $\frac{1}{2}$-barrier for the twisted second moment of Dirichlet $L$-functions]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 7 <br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~shamgar/ Shamgar Gurevich (UW-Madison)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_7 Harmonic Analysis on $GL_n$ over finite fields] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 14<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~thyang/ Tonghai Yang (UW-Madison)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_14 The Lambda invariant and its CM values]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 21<br />
| bgcolor="#F0B0B0" align="center" | No Seminar<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 28<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.columbia.edu/~brianrl/ Brian Lawrence (the University of Chicago)] <br />
| bgcolor="#BCE2FE"|[https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_28 Diophantine problems and a p-adic period map.] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 7<br />
| bgcolor="#F0B0B0" align="center" |[https://sites.google.com/view/masoudzargar/ Masoud Zargar (Regensburg)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#March_7 Sections of quadrics over the affine line] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 14<br />
| bgcolor="#F0B0B0" align="center" | [http://www.its.caltech.edu/~mantovan/ Elena Mantovan (Caltech)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 21<br />
| bgcolor="#F0B0B0" align="center" | Spring Break<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 28<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.ucsb.edu/~agboola/ Bisi Agboola (UCSB)] <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 4<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.tamu.edu/~wltsai/ Wei-Lun Tsai (Texas A&M University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 11<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~tmcadam/ Taylor McAdam (UCSD)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 18 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~ila/ Ila Varma (UCSD)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
| bgcolor="#F0B0B0" align="center" | [https://math.rice.edu/~jb93/ Jen Berg (Rice University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 2<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~mmwood/ Melanie Wood (UW-Madison)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 9 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.mathcs.emory.edu/~dzb/ David Zureick-Brown (Emory College of Arts and Sciences)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
|}<br />
</center><br />
<br />
<br><br />
<br />
*to be confirmed<br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~shusterman/ Mark Shusterman]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_ABSTRACTSpring2019&diff=16971NTS ABSTRACTSpring20192019-02-17T22:04:33Z<p>Ntalebiz: </p>
<hr />
<div>Return to [https://www.math.wisc.edu/wiki/index.php/NTS ]<br />
<br />
<br />
== Jan 23 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Yunqing Tang '''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Reductions of abelian surfaces over global function fields<br />
|-<br />
| bgcolor="#BCD2EE" | For a non-isotrivial ordinary abelian surface $A$ over a global function field, under mild assumptions, we prove that there are infinitely many places modulo which $A$ is geometrically isogenous to the product of two elliptic curves. This result can be viewed as a generalization of a theorem of Chai and Oort. This is joint work with Davesh Maulik and Ananth Shankar.<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== Jan 24 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Hassan-Mao-Smith--Zhu'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Assume a polynomial-time algorithm for factoring integers, Conjecture~\ref{conj}, $d\geq 3,$ and $q$ and $p$ prime numbers, where $p\leq q^A$ for some $A>0$. We develop a polynomial-time algorithm in $\log(q)$ that lifts every $\mathbb{Z}/q\mathbb{Z}$ point of $S^{d-2}\subset S^{d}$ to a $\mathbb{Z}[1/p]$ point of $S^d$ with the minimum height. We implement our algorithm for $d=3 \text{ and }4$. Based on our numerical results, we formulate a conjecture which can be checked in polynomial-time and gives the optimal bound on the diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$. <br />
<br />
|} <br />
</center><br />
<br />
<br />
== Jan 31 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Kyle Pratt'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Breaking the $\frac{1}{2}$-barrier for the twisted second moment of Dirichlet $L$-functions<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: I will discuss recent work, joint with Bui, Robles, and Zaharescu, on a moment problem for Dirichlet $L$-functions. By way of motivation I will spend some time discussing the Lindel\"of Hypothesis, and work of Bettin, Chandee, and Radziwi\l\l. The talk will be accessible, as I will give lots of background information and will not dwell on technicalities. <br />
<br />
|} <br />
</center><br />
<br />
== Feb 7 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Shamgar Gurevich'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Harmonic Analysis on $GL_n$ over finite fields<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: There are many formulas that express interesting properties of a group G in terms of sums over its characters.<br />
For evaluating or estimating these sums, one of the most salient quantities to understand is the {\it character ratio}:<br />
$$trace (\rho(g))/dim (\rho),$$<br />
for an irreducible representation $\rho$ of G and an element g of G. For example, Diaconis and Shahshahani stated a formula of this type for analyzing G-biinvariant random walks on G. It turns out that, for classical groups G over finite fields (which provide most examples of finite simple groups), there is a natural invariant of representations that provides strong information on the character ratio. We call this invariant {\it rank}. This talk will discuss the notion of rank for GLn over finite fields, and apply the results to random walks. This is joint work with Roger Howe (TAMU).<br />
<br />
|} <br />
</center><br />
<br />
== Feb 14 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Tonghai Yang'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | The Lambda invariant and its CM values<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: The Lambda invariant which parametrizes elliptic curves with two torsions (X_0(2)) has some interesting properties, some similar to that of the j-invariants, and some not. For example, $\lambda(\frac{d+\sqrt d}2)$ is a unit sometime. In this talk, I will briefly describe some of the properties. This is joint work with Hongbo Yin and Peng Yu.<br />
<br />
|} <br />
</center><br />
<br />
== Feb 28 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Brian Lawrence'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Diophantine problems and a p-adic period map.<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: I will outline a proof of Mordell's conjecture / Faltings's theorem using p-adic Hodge theory. Joint with Akshay Venkatesh.<br />
<br />
|} <br />
</center></div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS&diff=16970NTS2019-02-17T22:03:37Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2019 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
You can find our Fall 2018 speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Fall_2018_Semester Fall 2018].<br />
<br><br />
You can find our previous speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Spring_2018_Semester Spring 2018].<br />
<br />
= Spring 2019 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 23<br />
'''Wed. Room VV B231'''<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.princeton.edu/~yunqingt/ Yunqing Tang (Princeton University)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_23 Reductions of abelian surfaces over global function fields]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 24<br />
| bgcolor="#F0B0B0" align="center" | Hassan-Mao-Smith--Zhu<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_24 The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Jan 31<br />
| bgcolor="#F0B0B0" align="center" | [https://faculty.math.illinois.edu/~kpratt4/ Kyle Pratt (University of Illinois at Urbana-Champaign)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_31 Breaking the $\frac{1}{2}$-barrier for the twisted second moment of Dirichlet $L$-functions]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 7 <br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~shamgar/ Shamgar Gurevich (UW-Madison)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_7 Harmonic Analysis on $GL_n$ over finite fields] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 14<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~thyang/ Tonghai Yang (UW-Madison)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_14 The Lambda invariant and its CM values]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 21<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 28<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.columbia.edu/~brianrl/ Brian Lawrence (Columbia University)] <br />
| bgcolor="#BCE2FE"|[https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_28 Diophantine problems and a p-adic period map.] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 7<br />
| bgcolor="#F0B0B0" align="center" |[https://sites.google.com/view/masoudzargar/ Masoud Zargar (Regensburg)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 14<br />
| bgcolor="#F0B0B0" align="center" | [http://www.its.caltech.edu/~mantovan/ Elena Mantovan (Caltech)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 21<br />
| bgcolor="#F0B0B0" align="center" | SPRING BREAK<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 28<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.ucsb.edu/~agboola/ Bisi Agboola (UCSB)] <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 4<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.tamu.edu/~wltsai/ Wei-Lun Tsai (Texas A&M University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 11<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~tmcadam/ Taylor McAdam (UCSD)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 18 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~ila/ Ila Varma (UCSD)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
| bgcolor="#F0B0B0" align="center" | [https://math.rice.edu/~jb93/ Jen Berg (Rice University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 2<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 9 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.mathcs.emory.edu/~dzb/ David Zureick-Brown (Emory College of Arts and Sciences)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
|}<br />
</center><br />
<br />
<br><br />
<br />
*to be confirmed<br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~shusterman/ Mark Shusterman]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS&diff=16969NTS2019-02-17T22:02:47Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2019 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
You can find our Fall 2018 speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Fall_2018_Semester Fall 2018].<br />
<br><br />
You can find our previous speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Spring_2018_Semester Spring 2018].<br />
<br />
= Spring 2019 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 23<br />
'''Wed. Room VV B231'''<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.princeton.edu/~yunqingt/ Yunqing Tang (Princeton University)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_23 Reductions of abelian surfaces over global function fields]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 24<br />
| bgcolor="#F0B0B0" align="center" | Hassan-Mao-Smith--Zhu<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_24 The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Jan 31<br />
| bgcolor="#F0B0B0" align="center" | [https://faculty.math.illinois.edu/~kpratt4/ Kyle Pratt (University of Illinois at Urbana-Champaign)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_31 Breaking the $\frac{1}{2}$-barrier for the twisted second moment of Dirichlet $L$-functions]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 7 <br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~shamgar/ Shamgar Gurevich (UW-Madison)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_7 Harmonic Analysis on $GL_n$ over finite fields] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 14<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~thyang/ Tonghai Yang (UW-Madison)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_14 The Lambda invariant and its CM values]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 21<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 28<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.columbia.edu/~brianrl/ Brian Lawrence (Columbia University)] <br />
| bgcolor="#BCE2FE"|Diophantine problems and a p-adic period map.<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 7<br />
| bgcolor="#F0B0B0" align="center" |[https://sites.google.com/view/masoudzargar/ Masoud Zargar (Regensburg)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 14<br />
| bgcolor="#F0B0B0" align="center" | [http://www.its.caltech.edu/~mantovan/ Elena Mantovan (Caltech)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 21<br />
| bgcolor="#F0B0B0" align="center" | SPRING BREAK<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 28<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.ucsb.edu/~agboola/ Bisi Agboola (UCSB)] <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 4<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.tamu.edu/~wltsai/ Wei-Lun Tsai (Texas A&M University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 11<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~tmcadam/ Taylor McAdam (UCSD)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 18 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~ila/ Ila Varma (UCSD)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
| bgcolor="#F0B0B0" align="center" | [https://math.rice.edu/~jb93/ Jen Berg (Rice University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 2<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 9 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.mathcs.emory.edu/~dzb/ David Zureick-Brown (Emory College of Arts and Sciences)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
|}<br />
</center><br />
<br />
<br><br />
<br />
*to be confirmed<br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~shusterman/ Mark Shusterman]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS&diff=16964NTS2019-02-17T20:00:27Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2019 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
You can find our Fall 2018 speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Fall_2018_Semester Fall 2018].<br />
<br><br />
You can find our previous speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Spring_2018_Semester Spring 2018].<br />
<br />
= Spring 2019 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 23<br />
'''Wed. Room VV B231'''<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.princeton.edu/~yunqingt/ Yunqing Tang (Princeton University)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_23 Reductions of abelian surfaces over global function fields]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 24<br />
| bgcolor="#F0B0B0" align="center" | Hassan-Mao-Smith--Zhu<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_24 The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Jan 31<br />
| bgcolor="#F0B0B0" align="center" | [https://faculty.math.illinois.edu/~kpratt4/ Kyle Pratt (University of Illinois at Urbana-Champaign)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_31 Breaking the $\frac{1}{2}$-barrier for the twisted second moment of Dirichlet $L$-functions]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 7 <br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~shamgar/ Shamgar Gurevich (UW-Madison)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_7 Harmonic Analysis on $GL_n$ over finite fields] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 14<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~thyang/ Tonghai Yang (UW-Madison)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_14 The Lambda invariant and its CM values]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 21<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 28<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.columbia.edu/~brianrl/ Brian Lawrence (Columbia University)] <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 7<br />
| bgcolor="#F0B0B0" align="center" |[https://sites.google.com/view/masoudzargar/ Masoud Zargar (Regensburg)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 14<br />
| bgcolor="#F0B0B0" align="center" | [http://www.its.caltech.edu/~mantovan/ Elena Mantovan (Caltech)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 21<br />
| bgcolor="#F0B0B0" align="center" | SPRING BREAK<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 28<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.ucsb.edu/~agboola/ Bisi Agboola (UCSB)] <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 4<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.tamu.edu/~wltsai/ Wei-Lun Tsai (Texas A&M University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 11<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~tmcadam/ Taylor McAdam (UCSD)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 18 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~ila/ Ila Varma (UCSD)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
| bgcolor="#F0B0B0" align="center" | [https://math.rice.edu/~jb93/ Jen Berg (Rice University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 2<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 9 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.mathcs.emory.edu/~dzb/ David Zureick-Brown (Emory College of Arts and Sciences)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
|}<br />
</center><br />
<br />
<br><br />
<br />
*to be confirmed<br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~shusterman/ Mark Shusterman]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS&diff=16963NTS2019-02-17T20:00:07Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2019 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
You can find our Fall 2018 speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Fall_2018_Semester Fall 2018].<br />
<br><br />
You can find our previous speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Spring_2018_Semester Spring 2018].<br />
<br />
= Spring 2019 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 23<br />
'''Wed. Room VV B231'''<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.princeton.edu/~yunqingt/ Yunqing Tang (Princeton University)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_23 Reductions of abelian surfaces over global function fields]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 24<br />
| bgcolor="#F0B0B0" align="center" | Hassan-Mao-Smith--Zhu<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_24 The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Jan 31<br />
| bgcolor="#F0B0B0" align="center" | [https://faculty.math.illinois.edu/~kpratt4/ Kyle Pratt (University of Illinois at Urbana-Champaign)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_31 Breaking the $\frac{1}{2}$-barrier for the twisted second moment of Dirichlet $L$-functions]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 7 <br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~shamgar/ Shamgar Gurevich (UW-Madison)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_7 Harmonic Analysis on $GL_n$ over finite fields] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 14<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~thyang/ Tonghai Yang (UW-Madison)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_14 The Lambda invariant and its CM values]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 21<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 28<br />
| bgcolor="#F0B0B0" align="center" [http://www.math.columbia.edu/~brianrl/ Brian Lawrence (Columbia University)] <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 7<br />
| bgcolor="#F0B0B0" align="center" |[https://sites.google.com/view/masoudzargar/ Masoud Zargar (Regensburg)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 14<br />
| bgcolor="#F0B0B0" align="center" | [http://www.its.caltech.edu/~mantovan/ Elena Mantovan (Caltech)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 21<br />
| bgcolor="#F0B0B0" align="center" | SPRING BREAK<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 28<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.ucsb.edu/~agboola/ Bisi Agboola (UCSB)] <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 4<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.tamu.edu/~wltsai/ Wei-Lun Tsai (Texas A&M University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 11<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~tmcadam/ Taylor McAdam (UCSD)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 18 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~ila/ Ila Varma (UCSD)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
| bgcolor="#F0B0B0" align="center" | [https://math.rice.edu/~jb93/ Jen Berg (Rice University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 2<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 9 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.mathcs.emory.edu/~dzb/ David Zureick-Brown (Emory College of Arts and Sciences)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
|}<br />
</center><br />
<br />
<br><br />
<br />
*to be confirmed<br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~shusterman/ Mark Shusterman]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS&diff=16962NTS2019-02-17T19:58:54Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2019 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
You can find our Fall 2018 speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Fall_2018_Semester Fall 2018].<br />
<br><br />
You can find our previous speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Spring_2018_Semester Spring 2018].<br />
<br />
= Spring 2019 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 23<br />
'''Wed. Room VV B231'''<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.princeton.edu/~yunqingt/ Yunqing Tang (Princeton University)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_23 Reductions of abelian surfaces over global function fields]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 24<br />
| bgcolor="#F0B0B0" align="center" | Hassan-Mao-Smith--Zhu<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_24 The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Jan 31<br />
| bgcolor="#F0B0B0" align="center" | [https://faculty.math.illinois.edu/~kpratt4/ Kyle Pratt (University of Illinois at Urbana-Champaign)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_31 Breaking the $\frac{1}{2}$-barrier for the twisted second moment of Dirichlet $L$-functions]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 7 <br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~shamgar/ Shamgar Gurevich (UW-Madison)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_7 Harmonic Analysis on $GL_n$ over finite fields] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 14<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~thyang/ Tonghai Yang (UW-Madison)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Feb_14 The Lambda invariant and its CM values]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 21<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 28<br />
| bgcolor="#F0B0B0" align="center" [|http://www.math.columbia.edu/~brianrl/ Brian Lawrence (Columbia University)] <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 7<br />
| bgcolor="#F0B0B0" align="center" |[https://sites.google.com/view/masoudzargar/ Masoud Zargar (Regensburg)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 14<br />
| bgcolor="#F0B0B0" align="center" | [http://www.its.caltech.edu/~mantovan/ Elena Mantovan (Caltech)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 21<br />
| bgcolor="#F0B0B0" align="center" | SPRING BREAK<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 28<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.ucsb.edu/~agboola/ Bisi Agboola (UCSB)] <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 4<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.tamu.edu/~wltsai/ Wei-Lun Tsai (Texas A&M University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 11<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~tmcadam/ Taylor McAdam (UCSD)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 18 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~ila/ Ila Varma (UCSD)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
| bgcolor="#F0B0B0" align="center" | [https://math.rice.edu/~jb93/ Jen Berg (Rice University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 2<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 9 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.mathcs.emory.edu/~dzb/ David Zureick-Brown (Emory College of Arts and Sciences)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
|}<br />
</center><br />
<br />
<br><br />
<br />
*to be confirmed<br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~shusterman/ Mark Shusterman]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS&diff=16747NTS2019-01-28T00:56:33Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2019 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
You can find our Fall 2018 speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Fall_2018_Semester Fall 2018].<br />
<br><br />
You can find our previous speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Spring_2018_Semester Spring 2018].<br />
<br />
= Spring 2019 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 23<br />
'''Wed. Room VV B231'''<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.princeton.edu/~yunqingt/ Yunqing Tang (Princeton University)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_23 Reductions of abelian surfaces over global function fields]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 24<br />
| bgcolor="#F0B0B0" align="center" | Hassan-Mao-Smith--Zhu<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_24 The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Jan 31<br />
| bgcolor="#F0B0B0" align="center" | [https://faculty.math.illinois.edu/~kpratt4/ Kyle Pratt (University of Illinois at Urbana-Champaign)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_31 Breaking the $\frac{1}{2}$-barrier for the twisted second moment of Dirichlet $L$-functions]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 7 <br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~shamgar/ Shamgar Gurevich (UW-Madison)]<br />
| bgcolor="#BCE2FE"|[https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#March_28 Harmonic Analysis on $GL_n$ over finite fields] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 14<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 21<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 28<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 7<br />
| bgcolor="#F0B0B0" align="center" |[https://sites.google.com/view/masoudzargar/ Masoud Zargar (Regensburg)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 14<br />
| bgcolor="#F0B0B0" align="center" | [http://www.its.caltech.edu/~mantovan/ Elena Mantovan (Caltech)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 21<br />
| bgcolor="#F0B0B0" align="center" | SPRING BREAK<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 28<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.ucsb.edu/~agboola/ Bisi Agboola (UCSB)] <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 4<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.tamu.edu/~wltsai/ Wei-Lun Tsai (Texas A&M University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 11<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~tmcadam/ Taylor McAdam (UCSD)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 18 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~ila/ Ila Varma (UCSD)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
| bgcolor="#F0B0B0" align="center" | [https://math.rice.edu/~jb93/ Jen Berg (Rice University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 2<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 9 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.mathcs.emory.edu/~dzb/ David Zureick-Brown (Emory College of Arts and Sciences)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
|}<br />
</center><br />
<br />
<br><br />
<br />
*to be confirmed<br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS&diff=16746NTS2019-01-28T00:56:06Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2019 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
You can find our Fall 2018 speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Fall_2018_Semester Spring 2019].<br />
<br><br />
You can find our previous speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Spring_2018_Semester Spring 2018].<br />
<br />
= Spring 2019 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 23<br />
'''Wed. Room VV B231'''<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.princeton.edu/~yunqingt/ Yunqing Tang (Princeton University)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_23 Reductions of abelian surfaces over global function fields]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 24<br />
| bgcolor="#F0B0B0" align="center" | Hassan-Mao-Smith--Zhu<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_24 The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Jan 31<br />
| bgcolor="#F0B0B0" align="center" | [https://faculty.math.illinois.edu/~kpratt4/ Kyle Pratt (University of Illinois at Urbana-Champaign)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_31 Breaking the $\frac{1}{2}$-barrier for the twisted second moment of Dirichlet $L$-functions]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 7 <br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~shamgar/ Shamgar Gurevich (UW-Madison)]<br />
| bgcolor="#BCE2FE"|[https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#March_28 Harmonic Analysis on $GL_n$ over finite fields] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 14<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 21<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 28<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 7<br />
| bgcolor="#F0B0B0" align="center" |[https://sites.google.com/view/masoudzargar/ Masoud Zargar (Regensburg)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 14<br />
| bgcolor="#F0B0B0" align="center" | [http://www.its.caltech.edu/~mantovan/ Elena Mantovan (Caltech)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 21<br />
| bgcolor="#F0B0B0" align="center" | SPRING BREAK<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 28<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.ucsb.edu/~agboola/ Bisi Agboola (UCSB)] <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 4<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.tamu.edu/~wltsai/ Wei-Lun Tsai (Texas A&M University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 11<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~tmcadam/ Taylor McAdam (UCSD)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 18 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~ila/ Ila Varma (UCSD)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
| bgcolor="#F0B0B0" align="center" | [https://math.rice.edu/~jb93/ Jen Berg (Rice University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 2<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 9 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.mathcs.emory.edu/~dzb/ David Zureick-Brown (Emory College of Arts and Sciences)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
|}<br />
</center><br />
<br />
<br><br />
<br />
*to be confirmed<br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS&diff=16745NTS2019-01-28T00:54:32Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2019 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
= Spring 2019 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 23<br />
'''Wed. Room VV B231'''<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.princeton.edu/~yunqingt/ Yunqing Tang (Princeton University)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_23 Reductions of abelian surfaces over global function fields]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 24<br />
| bgcolor="#F0B0B0" align="center" | Hassan-Mao-Smith--Zhu<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_24 The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Jan 31<br />
| bgcolor="#F0B0B0" align="center" | [https://faculty.math.illinois.edu/~kpratt4/ Kyle Pratt (University of Illinois at Urbana-Champaign)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_31 Breaking the $\frac{1}{2}$-barrier for the twisted second moment of Dirichlet $L$-functions]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 7 <br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~shamgar/ Shamgar Gurevich (UW-Madison)]<br />
| bgcolor="#BCE2FE"|[https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#March_28 Harmonic Analysis on $GL_n$ over finite fields] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 14<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 21<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 28<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 7<br />
| bgcolor="#F0B0B0" align="center" |[https://sites.google.com/view/masoudzargar/ Masoud Zargar (Regensburg)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 14<br />
| bgcolor="#F0B0B0" align="center" | [http://www.its.caltech.edu/~mantovan/ Elena Mantovan (Caltech)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 21<br />
| bgcolor="#F0B0B0" align="center" | SPRING BREAK<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 28<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.ucsb.edu/~agboola/ Bisi Agboola (UCSB)] <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 4<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.tamu.edu/~wltsai/ Wei-Lun Tsai (Texas A&M University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 11<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~tmcadam/ Taylor McAdam (UCSD)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 18 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~ila/ Ila Varma (UCSD)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
| bgcolor="#F0B0B0" align="center" | [https://math.rice.edu/~jb93/ Jen Berg (Rice University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 2<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 9 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.mathcs.emory.edu/~dzb/ David Zureick-Brown (Emory College of Arts and Sciences)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
|}<br />
</center><br />
<br />
<br><br />
<br />
*to be confirmed<br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_Fall_2018_Semester&diff=16744NTS Fall 2018 Semester2019-01-28T00:53:42Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*if you are interested in joining the number theory seminar mailing list, go ahead and add yourself at (Join-mathnts at lists dot wisc dot edu).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2019 graduate-level seminar], which meets on Tuesdays.<br><br />
You can find our Spring 2019 speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Spring_2019_Semester Spring 2019].<br />
<br><br />
You can find our previous speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Spring_2018_Semester Spring 2018].<br />
<br />
= Fall 2018 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|- <br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Sept 6<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~marshall/ Simon Marshall (UW-Madison)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTFall2018#Sept_6 What I did in my holidays]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Sept 13<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.wisc.edu/~boston/ Nigel Boston (UW-Madison)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTFall2018#Sept_13 2-class towers of cyclic cubic fields]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Sept 20<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.wisc.edu/~ntalebiz/ Naser T. Sardari (UW-Madison)]<br />
| bgcolor="#BCE2FE"|[https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTFall2018#Sept_20 Bounds on the multiplicity of the Hecke eigenvalues ] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Sept 27<br />
| bgcolor="#F0B0B0" align="center" | [https://sites.google.com/view/floriansprung/home Florian Ian Sprung (Arizona State University)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTFall2018#Sept_27 How does the Mordell-Weil rank of an elliptic curve grow in towers of number fields, if you start with a quadratic imaginary field?]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Oct 4<br />
| bgcolor="#F0B0B0" align="center" | [http://math.mit.edu/~rhbell/ Renee Bell (University of Pennsylvania)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTFall2018#Oct_4 Local-to-Global Extensions for Wildly Ramified Covers of Curves]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Oct 11<br />
| bgcolor="#F0B0B0" align="center" | [https://math.mit.edu/~chenwan/ Chen Wan (MIT)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTFall2018#Oct_11 A Local Trace Formula for the Generalized Shalika model]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Oct 18<br />
| bgcolor="#F0B0B0" align="center" | [http://markshus.wixsite.com/math Mark Shusterman (UW-Madison) ]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTFall2018#Oct_18 The fundamental group of a smooth projective curve over a finite field is finitely presented]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Oct 25<br />
| bgcolor="#F0B0B0" align="center" |[http://math.arizona.edu/~ulmer/ Douglas Ulmer (University of Arizona)] <br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTFall2018#Oct_25 An algebraic approach to the Brauer-Siegel ratio for abelian varieties over function fields]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Nov 1<br />
| bgcolor="#F0B0B0" align="center" | [https://sites.google.com/site/renjinbomath/home Jinbo Ren (University of Virginia)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTFall2018#Nov_1 Mathematical logic and its applications in number theory]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Nov 8<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucla.edu/~nandersen/ Nick Andersen (UCLA)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTFall2018#Nov_8 Modular invariants for real quadratic fields]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Nov 15<br />
| bgcolor="#F0B0B0" align="center" | [https://khayutin.github.io/ Ilya Khayutin (Princeton University)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTFall2018#Nov_15 Equidistribution of Special Points on Shimura Varieties]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Nov 22<br />
| bgcolor="#F0B0B0" align="center" | Thanksgiving <br />
| bgcolor="#BCE2FE"|<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Nov 29<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.upenn.edu/~vkarem/ Valentijn Karemaker (University of Pennsylvania)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTFall2018#Nov_29 Comparing obstructions to local-global principles for rational points over semiglobal fields] <br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Dec 6<br />
| bgcolor="#F0B0B0" align="center" | [https://web.math.princeton.edu/~dkriz/ Daniel Kriz (MIT)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTFall2018#Dec_6 A new p-adic Maass-Shimura operator and supersingular Rankin-Selberg p-adic L-functions]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Dec 13<br />
| bgcolor="#F0B0B0" align="center" | [https://faculty.franklin.uga.edu/bakker/ Benjamin Bakker (University of Georgia)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTFall2018#Dec_13 Transcendence of period maps]<br />
|-<br />
|}<br />
</center><br />
<br />
<br><br />
<br />
*to be confirmed<br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2019_Semester&diff=16739NTS Spring 2019 Semester2019-01-27T19:40:04Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2019 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
= Spring 2019 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 23<br />
'''Wed. Room VV B231'''<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.princeton.edu/~yunqingt/ Yunqing Tang (Princeton University)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_23 Reductions of abelian surfaces over global function fields]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 24<br />
| bgcolor="#F0B0B0" align="center" | Hassan-Mao-Smith--Zhu<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_24 The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Jan 31<br />
| bgcolor="#F0B0B0" align="center" | [https://faculty.math.illinois.edu/~kpratt4/ Kyle Pratt (University of Illinois at Urbana-Champaign)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_31 Breaking the $\frac{1}{2}$-barrier for the twisted second moment of Dirichlet $L$-functions]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 7 <br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~shamgar/ Shamgar Gurevich (UW-Madison)]<br />
| bgcolor="#BCE2FE"|[https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#March_28 Harmonic Analysis on $GL_n$ over finite fields] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 14<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 21<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 28<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 7<br />
| bgcolor="#F0B0B0" align="center" |[https://sites.google.com/view/masoudzargar/ Masoud Zargar (Regensburg)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 14<br />
| bgcolor="#F0B0B0" align="center" | [http://www.its.caltech.edu/~mantovan/ Elena Mantovan (Caltech)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 21<br />
| bgcolor="#F0B0B0" align="center" | SPRING BREAK<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 28<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.ucsb.edu/~agboola/ Bisi Agboola (UCSB)] <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 4<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.tamu.edu/~wltsai/ Wei-Lun Tsai (Texas A&M University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 11<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~tmcadam/ Taylor McAdam (UCSD)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 18 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~ila/ Ila Varma (UCSD)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
| bgcolor="#F0B0B0" align="center" | [https://math.rice.edu/~jb93/ Jen Berg (Rice University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 2<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 9 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.mathcs.emory.edu/~dzb/ David Zureick-Brown (Emory College of Arts and Sciences)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
|}<br />
</center><br />
<br />
<br><br />
<br />
*to be confirmed<br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2019_Semester&diff=16687NTS Spring 2019 Semester2019-01-23T13:45:06Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2019 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
= Spring 2019 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 23<br />
'''Wed. Room VV B231'''<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.princeton.edu/~yunqingt/ Yunqing Tang (Princeton University)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_23 Reductions of abelian surfaces over global function fields]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 24<br />
| bgcolor="#F0B0B0" align="center" | Hassan-Mao-Smith--Zhu<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_24 The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Jan 31<br />
| bgcolor="#F0B0B0" align="center" | [https://faculty.math.illinois.edu/~kpratt4/ Kyle Pratt (University of Illinois at Urbana-Champaign)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 7 <br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~shamgar/ SHAMGAR GUREVITCH]<br />
| bgcolor="#BCE2FE"|[https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#March_28 Harmonic Analysis on GLn over finite fields] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 14<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 21<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 28<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 7<br />
| bgcolor="#F0B0B0" align="center" |[https://sites.google.com/view/masoudzargar/ Masoud Zargar (Regensburg)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 14<br />
| bgcolor="#F0B0B0" align="center" | [http://www.its.caltech.edu/~mantovan/ Elena Mantovan (Caltech)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 21<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 28<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 4<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.tamu.edu/~wltsai/ Wei-Lun Tsai (Texas A&M University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 11<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~tmcadam/ Taylor McAdam (UCSD)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 18 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~ila/ Ila Varma (UCSD)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
| bgcolor="#F0B0B0" align="center" | [https://math.rice.edu/~jb93/ Jen Berg (Rice University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 2<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 9 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.mathcs.emory.edu/~dzb/ David Zureick-Brown (Emory College of Arts and Sciences)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
|}<br />
</center><br />
<br />
<br><br />
<br />
*to be confirmed<br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2019_Semester&diff=16632NTS Spring 2019 Semester2019-01-16T13:01:36Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2019 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
= Spring 2019 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 23<br />
'''Wed. Room TBA'''<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.princeton.edu/~yunqingt/ Yunqing Tang (Princeton University)]<br />
| bgcolor="#BCE2FE"| <br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 24<br />
| bgcolor="#F0B0B0" align="center" | Hassan-Mao-Smith--Zhu<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_24 The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Jan 31<br />
| bgcolor="#F0B0B0" align="center" | [https://faculty.math.illinois.edu/~kpratt4/ Kyle Pratt (University of Illinois at Urbana-Champaign)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 7 <br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 14<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 21<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 28<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 7<br />
| bgcolor="#F0B0B0" align="center" |[https://sites.google.com/view/masoudzargar/ Masoud Zargar (Regensburg)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 14<br />
| bgcolor="#F0B0B0" align="center" | [http://www.its.caltech.edu/~mantovan/ Elena Mantovan (Caltech)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 21<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 28<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~shamgar/ SHAMGAR GUREVITCH]<br />
| bgcolor="#BCE2FE"|[https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#March_28 Harmonic Analysis on GLn over finite fields] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 4<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.tamu.edu/~wltsai/ Wei-Lun Tsai (Texas A&M University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 11<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~tmcadam/ Taylor McAdam (UCSD)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 18 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~ila/ Ila Varma (UCSD)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
| bgcolor="#F0B0B0" align="center" | [https://math.rice.edu/~jb93/ Jen Berg (Rice University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 2<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 9 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.mathcs.emory.edu/~dzb/ David Zureick-Brown (Emory College of Arts and Sciences)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
|}<br />
</center><br />
<br />
<br><br />
<br />
*to be confirmed<br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_ABSTRACTSpring2019&diff=16631NTS ABSTRACTSpring20192019-01-16T12:58:04Z<p>Ntalebiz: </p>
<hr />
<div>Return to [https://www.math.wisc.edu/wiki/index.php/NTS ]<br />
<br />
<br />
== Jan 23 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Yunqing Tang '''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | <br />
|-<br />
| bgcolor="#BCD2EE" | <br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== Jan 24 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Hassan-Mao-Smith--Zhu'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Assume a polynomial-time algorithm for factoring integers, Conjecture~\ref{conj}, $d\geq 3,$ and $q$ and $p$ prime numbers, where $p\leq q^A$ for some $A>0$. We develop a polynomial-time algorithm in $\log(q)$ that lifts every $\mathbb{Z}/q\mathbb{Z}$ point of $S^{d-2}\subset S^{d}$ to a $\mathbb{Z}[1/p]$ point of $S^d$ with the minimum height. We implement our algorithm for $d=3 \text{ and }4$. Based on our numerical results, we formulate a conjecture which can be checked in polynomial-time and gives the optimal bound on the diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$. <br />
<br />
|} <br />
</center><br />
<br />
== March 28 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Shamgar Gurevitch'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Harmonic Analysis on GLn over finite fields<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: There are many formulas that express interesting properties of a group G in terms of sums over its characters.<br />
For evaluating or estimating these sums, one of the most salient quantities to understand is the {\it character ratio}:<br />
$$trace (\rho(g))/dim (\rho),$$<br />
for an irreducible representation $\rho$ of G and an element g of G. For example, Diaconis and Shahshahani stated a formula of this type for analyzing G-biinvariant random walks on G. It turns out that, for classical groups G over finite fields (which provide most examples of finite simple groups), there is a natural invariant of representations that provides strong information on the character ratio. We call this invariant {\it rank}. This talk will discuss the notion of rank for GLn over finite fields, and apply the results to random walks. This is joint work with Roger Howe (TAMU).<br />
|} <br />
</center></div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_ABSTRACTSpring2019&diff=16630NTS ABSTRACTSpring20192019-01-16T12:57:33Z<p>Ntalebiz: /* March 28 */</p>
<hr />
<div>Return to [https://www.math.wisc.edu/wiki/index.php/NTS ]<br />
<br />
<br />
== Jan 23 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Yunqing Tang '''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | <br />
|-<br />
| bgcolor="#BCD2EE" | <br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== Jan 24 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Hassan-Mao-Smith--Zhu'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Assume a polynomial-time algorithm for factoring integers, Conjecture~\ref{conj}, $d\geq 3,$ and $q$ and $p$ prime numbers, where $p\leq q^A$ for some $A>0$. We develop a polynomial-time algorithm in $\log(q)$ that lifts every $\mathbb{Z}/q\mathbb{Z}$ point of $S^{d-2}\subset S^{d}$ to a $\mathbb{Z}[1/p]$ point of $S^d$ with the minimum height. We implement our algorithm for $d=3 \text{ and }4$. Based on our numerical results, we formulate a conjecture which can be checked in polynomial-time and gives the optimal bound on the diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$. <br />
<br />
|} <br />
</center><br />
<br />
== March 28 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Shamgar Gurevitch'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Harmonic Analysis on GLn over finite fields<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: There are many formulas that express interesting properties of a group G in terms of sums over its characters.<br />
For evaluating or estimating these sums, one of the most salient quantities to understand is the {\it character ratio}:<br />
$$trace (\rho(g))/dim (\rho),$$<br />
for an irreducible representation $\rho$ of G and an element g of G. For example, Diaconis and Shahshahani stated a formula of this type for analyzing G-biinvariant random walks on G. It turns out that, for classical groups G over finite fields (which provide most examples of finite simple groups), there is a natural invariant of representations that provides strong information on the character ratio. We call this invariant {\it rank}. This talk will discuss the notion of rank for GLn over finite fields, and apply the results to random walks. This is joint work with Roger Howe (TAMU).<br />
|} <br />
</center><br />
<br />
== Feb 13==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Frank Calegari'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Recent Progress in Modularity<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: We survey some recent work in modularity lifting, and also describe some applications of these results. This will be based partly on joint work with Allen, Caraiani, Gee, Helm, Le Hung, Newton, Scholze, Taylor, and Thorne, and also on joint work with Boxer, Gee, and Pilloni.<br />
<br />
|} <br />
</center><br />
<br />
== Feb 15 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Junho Peter Whang'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Integral points and curves on moduli of local systems<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: We consider the Diophantine geometry of moduli spaces for <br />
special linear rank two local systems on surfaces with fixed boundary <br />
traces. After motivating their Diophantine study, we establish a <br />
structure theorem for their integral points via mapping class group <br />
descent, generalizing classical work of Markoff (1880). We also obtain <br />
Diophantine results for algebraic curves in these moduli spaces, <br />
including effective finiteness of imaginary quadratic integral points <br />
for non-special curves.<br />
<br />
|} <br />
</center><br />
<br />
== Feb 22 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Yifan Yang'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Rational torsion on the generalized Jacobian of a modular curve with cuspidal modulus<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: In this talk we consider the rational torsion<br />
subgroup of the generalized Jacobian of the modular<br />
curve X_0(N) with respect to a reduced divisor given<br />
by the sum of all cusps. When N=p is a prime, we find<br />
that the rational torsion subgroup is always cyclic<br />
of order 2 (while that of the usual Jacobian of X_0(p)<br />
grows linearly as p tends to infinity, according to a<br />
well-known result of Mazur). Subject to some unproven<br />
conjecture about the rational torsions of the Jacobian<br />
of X_0(p^n), we also determine the structure of the<br />
rational torsion subgroup of the generalized Jacobian<br />
of X_0(p^n). This is a joint work with Takao Yamazaki.<br />
<br />
|} <br />
</center><br />
<br><br />
<br />
== March 22 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Fang-Ting Tu'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Supercongrence for Rigid Hypergeometric Calabi-Yau Threefolds<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: <br />
This is a joint work with Ling Long, Noriko Yui, and Wadim Zudilin. We establish the supercongruences for the rigid hypergeometric Calabi-Yau threefolds over rational numbers. These supercongruences were conjectured by Rodriguez-Villeagas in 2003. In this work, we use two different approaches. The first method is based on Dwork's p-adic unit root theory, and the other is based on the theory of hypergeometric motives and hypergeometric functions over finite fields. In this talk, I will introduce the first method, which allows us to obtain the supercongruences for ordinary primes. <br />
<br />
<br />
|} <br />
</center><br />
<br><br />
== April 12 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Junehyuk Jung'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Quantum Unique Ergodicity and the number of nodal domains of automorphic forms<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: It has been known for decades that on a flat torus or on a sphere, there exist sequences of eigenfunctions having a bounded number of nodal domains. In contrast, for a manifold with chaotic geodesic flow, the number of nodal domains of eigenfunctions is expected to grow with the eigenvalue. In this talk, I will explain how one can prove that this is indeed true for the surfaces where the Laplacian is quantum uniquely ergodic, under certain symmetry assumptions. As an application, we prove that the number of nodal domains of Maass-Hecke eigenforms on a compact arithmetic triangles tends to $+\infty$ as the eigenvalue grows. I am going to also discuss the nodal domains of automorphic forms on $SL_2(\mathbb{Z})\backslash SL_2(\mathbb{R})$. Under a minor assumption, I will give a quick proof that the real part of weight $k\neq 0$ automorphic form has only two nodal domains. This result captures the fact that a 3-manifold with Sasaki metric never admits a chaotic geodesic flow. This talk is based on joint works with S. Zelditch and S. Jang.<br />
<br />
|} <br />
</center><br />
<br><br />
<br />
== April 19 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Hang Xue (Arizona)'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Arithmetic theta lifts and the arithmetic Gan--Gross--Prasad conjecture.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will explain the arithmetic analogue of the Gan--Gross--Prasad conjecture for unitary groups. I will also explain how to use arithmetic theta lift to prove certain endoscopic cases of it.<br />
<br />
|} <br />
</center><br />
<br><br />
<br />
== May 3 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Matilde Lalin (Université de Montréal)'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The mean value of cubic $L$-functions over function fields.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: We will start by exploring the problem of finding moments for Dirichlet $L$-functions, including the first main results and the standard conjectures. We will then discuss the problem for function fields. We will then present a result about the first moment of $L$-functions associated to cubic characters over $\F_q(t)$, when $q\equiv 1 \bmod{3}$. The case of number fields was considered in previous work, but never for the full family of cubic twists over a field containing the third roots of unity. This is joint work with C. David and A. Florea.<br />
<br />
|} <br />
</center><br />
<br><br />
<br />
== May 10 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Hector Pasten (Harvard University)'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Shimura curves and estimates for abc triples.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will explain a new connection between modular forms and the abc conjecture. In this approach, one considers maps to a given elliptic curve coming from various Shimura curves, which gives a way to obtain unconditional results towards the abc conjecture starting from good estimates for the variation of the degree of these maps. The approach to control this variation of degrees involves a number of tools, such as Arakelov geometry, automorphic forms, and analytic number theory. The final result is an unconditional estimate that lies beyond the existing techniques in the context of the abc conjecture, such as linear forms in logarithms.<br />
|} <br />
</center><br />
<br></div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_ABSTRACTSpring2019&diff=16629NTS ABSTRACTSpring20192019-01-16T12:56:19Z<p>Ntalebiz: /* Feb 8 */</p>
<hr />
<div>Return to [https://www.math.wisc.edu/wiki/index.php/NTS ]<br />
<br />
<br />
== Jan 23 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Yunqing Tang '''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | <br />
|-<br />
| bgcolor="#BCD2EE" | <br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== Jan 24 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Hassan-Mao-Smith--Zhu'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Assume a polynomial-time algorithm for factoring integers, Conjecture~\ref{conj}, $d\geq 3,$ and $q$ and $p$ prime numbers, where $p\leq q^A$ for some $A>0$. We develop a polynomial-time algorithm in $\log(q)$ that lifts every $\mathbb{Z}/q\mathbb{Z}$ point of $S^{d-2}\subset S^{d}$ to a $\mathbb{Z}[1/p]$ point of $S^d$ with the minimum height. We implement our algorithm for $d=3 \text{ and }4$. Based on our numerical results, we formulate a conjecture which can be checked in polynomial-time and gives the optimal bound on the diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$. <br />
<br />
|} <br />
</center><br />
<br />
== March 28 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Roman Fedorov'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | A conjecture of Grothendieck and Serre on principal bundles in mixed characteristic<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: There are many formulas that express interesting properties of a group G in terms of sums over its characters.<br />
For evaluating or estimating these sums, one of the most salient quantities to understand is the {\it character ratio}:<br />
$$trace (\rho(g))/dim (\rho),$$<br />
for an irreducible representation $\rho$ of G and an element g of G. For example, Diaconis and Shahshahani stated a formula of this type for analyzing G-biinvariant random walks on G. It turns out that, for classical groups G over finite fields (which provide most examples of finite simple groups), there is a natural invariant of representations that provides strong information on the character ratio. We call this invariant {\it rank}. This talk will discuss the notion of rank for GLn over finite fields, and apply the results to random walks. This is joint work with Roger Howe (TAMU).<br />
|} <br />
</center><br />
<br />
== Feb 13==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Frank Calegari'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Recent Progress in Modularity<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: We survey some recent work in modularity lifting, and also describe some applications of these results. This will be based partly on joint work with Allen, Caraiani, Gee, Helm, Le Hung, Newton, Scholze, Taylor, and Thorne, and also on joint work with Boxer, Gee, and Pilloni.<br />
<br />
|} <br />
</center><br />
<br />
== Feb 15 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Junho Peter Whang'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Integral points and curves on moduli of local systems<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: We consider the Diophantine geometry of moduli spaces for <br />
special linear rank two local systems on surfaces with fixed boundary <br />
traces. After motivating their Diophantine study, we establish a <br />
structure theorem for their integral points via mapping class group <br />
descent, generalizing classical work of Markoff (1880). We also obtain <br />
Diophantine results for algebraic curves in these moduli spaces, <br />
including effective finiteness of imaginary quadratic integral points <br />
for non-special curves.<br />
<br />
|} <br />
</center><br />
<br />
== Feb 22 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Yifan Yang'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Rational torsion on the generalized Jacobian of a modular curve with cuspidal modulus<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: In this talk we consider the rational torsion<br />
subgroup of the generalized Jacobian of the modular<br />
curve X_0(N) with respect to a reduced divisor given<br />
by the sum of all cusps. When N=p is a prime, we find<br />
that the rational torsion subgroup is always cyclic<br />
of order 2 (while that of the usual Jacobian of X_0(p)<br />
grows linearly as p tends to infinity, according to a<br />
well-known result of Mazur). Subject to some unproven<br />
conjecture about the rational torsions of the Jacobian<br />
of X_0(p^n), we also determine the structure of the<br />
rational torsion subgroup of the generalized Jacobian<br />
of X_0(p^n). This is a joint work with Takao Yamazaki.<br />
<br />
|} <br />
</center><br />
<br><br />
<br />
== March 22 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Fang-Ting Tu'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Supercongrence for Rigid Hypergeometric Calabi-Yau Threefolds<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: <br />
This is a joint work with Ling Long, Noriko Yui, and Wadim Zudilin. We establish the supercongruences for the rigid hypergeometric Calabi-Yau threefolds over rational numbers. These supercongruences were conjectured by Rodriguez-Villeagas in 2003. In this work, we use two different approaches. The first method is based on Dwork's p-adic unit root theory, and the other is based on the theory of hypergeometric motives and hypergeometric functions over finite fields. In this talk, I will introduce the first method, which allows us to obtain the supercongruences for ordinary primes. <br />
<br />
<br />
|} <br />
</center><br />
<br><br />
== April 12 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Junehyuk Jung'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Quantum Unique Ergodicity and the number of nodal domains of automorphic forms<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: It has been known for decades that on a flat torus or on a sphere, there exist sequences of eigenfunctions having a bounded number of nodal domains. In contrast, for a manifold with chaotic geodesic flow, the number of nodal domains of eigenfunctions is expected to grow with the eigenvalue. In this talk, I will explain how one can prove that this is indeed true for the surfaces where the Laplacian is quantum uniquely ergodic, under certain symmetry assumptions. As an application, we prove that the number of nodal domains of Maass-Hecke eigenforms on a compact arithmetic triangles tends to $+\infty$ as the eigenvalue grows. I am going to also discuss the nodal domains of automorphic forms on $SL_2(\mathbb{Z})\backslash SL_2(\mathbb{R})$. Under a minor assumption, I will give a quick proof that the real part of weight $k\neq 0$ automorphic form has only two nodal domains. This result captures the fact that a 3-manifold with Sasaki metric never admits a chaotic geodesic flow. This talk is based on joint works with S. Zelditch and S. Jang.<br />
<br />
|} <br />
</center><br />
<br><br />
<br />
== April 19 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Hang Xue (Arizona)'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Arithmetic theta lifts and the arithmetic Gan--Gross--Prasad conjecture.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will explain the arithmetic analogue of the Gan--Gross--Prasad conjecture for unitary groups. I will also explain how to use arithmetic theta lift to prove certain endoscopic cases of it.<br />
<br />
|} <br />
</center><br />
<br><br />
<br />
== May 3 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Matilde Lalin (Université de Montréal)'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The mean value of cubic $L$-functions over function fields.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: We will start by exploring the problem of finding moments for Dirichlet $L$-functions, including the first main results and the standard conjectures. We will then discuss the problem for function fields. We will then present a result about the first moment of $L$-functions associated to cubic characters over $\F_q(t)$, when $q\equiv 1 \bmod{3}$. The case of number fields was considered in previous work, but never for the full family of cubic twists over a field containing the third roots of unity. This is joint work with C. David and A. Florea.<br />
<br />
|} <br />
</center><br />
<br><br />
<br />
== May 10 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Hector Pasten (Harvard University)'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Shimura curves and estimates for abc triples.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will explain a new connection between modular forms and the abc conjecture. In this approach, one considers maps to a given elliptic curve coming from various Shimura curves, which gives a way to obtain unconditional results towards the abc conjecture starting from good estimates for the variation of the degree of these maps. The approach to control this variation of degrees involves a number of tools, such as Arakelov geometry, automorphic forms, and analytic number theory. The final result is an unconditional estimate that lies beyond the existing techniques in the context of the abc conjecture, such as linear forms in logarithms.<br />
|} <br />
</center><br />
<br></div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2019_Semester&diff=16628NTS Spring 2019 Semester2019-01-16T12:53:54Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2019 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
= Spring 2019 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 23<br />
'''Wed. Room TBA'''<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.princeton.edu/~yunqingt/ Yunqing Tang (Princeton University)]<br />
| bgcolor="#BCE2FE"| <br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 24<br />
| bgcolor="#F0B0B0" align="center" | Hassan-Mao-Smith--Zhu<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_24 The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Jan 31<br />
| bgcolor="#F0B0B0" align="center" | [https://faculty.math.illinois.edu/~kpratt4/ Kyle Pratt (University of Illinois at Urbana-Champaign)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 7 <br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 14<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 21<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 28<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 7<br />
| bgcolor="#F0B0B0" align="center" |[https://sites.google.com/view/masoudzargar/ Masoud Zargar (Regensburg)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 14<br />
| bgcolor="#F0B0B0" align="center" | [http://www.its.caltech.edu/~mantovan/ Elena Mantovan (Caltech)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 21<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 28<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~shamgar/ SHAMGAR GUREVITCH]<br />
| bgcolor="#BCE2FE"| Harmonic Analysis on GLn over finite fields<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 4<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.tamu.edu/~wltsai/ Wei-Lun Tsai (Texas A&M University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 11<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~tmcadam/ Taylor McAdam (UCSD)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 18 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~ila/ Ila Varma (UCSD)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
| bgcolor="#F0B0B0" align="center" | [https://math.rice.edu/~jb93/ Jen Berg (Rice University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 2<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 9 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.mathcs.emory.edu/~dzb/ David Zureick-Brown (Emory College of Arts and Sciences)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
|}<br />
</center><br />
<br />
<br><br />
<br />
*to be confirmed<br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2019_Semester&diff=16627NTS Spring 2019 Semester2019-01-16T12:53:09Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2019 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
= Spring 2019 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 23<br />
'''Wed. Room TBA'''<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.princeton.edu/~yunqingt/ Yunqing Tang (Princeton University)]<br />
| bgcolor="#BCE2FE"| <br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 24<br />
| bgcolor="#F0B0B0" align="center" | Hassan-Mao-Smith--Zhu<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_24 The diophantine exponent of the \mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Jan 31<br />
| bgcolor="#F0B0B0" align="center" | [https://faculty.math.illinois.edu/~kpratt4/ Kyle Pratt (University of Illinois at Urbana-Champaign)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 7 <br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 14<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 21<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 28<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 7<br />
| bgcolor="#F0B0B0" align="center" |[https://sites.google.com/view/masoudzargar/ Masoud Zargar (Regensburg)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 14<br />
| bgcolor="#F0B0B0" align="center" | [http://www.its.caltech.edu/~mantovan/ Elena Mantovan (Caltech)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 21<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 28<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~shamgar/ SHAMGAR GUREVITCH]<br />
| bgcolor="#BCE2FE"| Harmonic Analysis on GLn over finite fields<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 4<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.tamu.edu/~wltsai/ Wei-Lun Tsai (Texas A&M University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 11<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~tmcadam/ Taylor McAdam (UCSD)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 18 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~ila/ Ila Varma (UCSD)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
| bgcolor="#F0B0B0" align="center" | [https://math.rice.edu/~jb93/ Jen Berg (Rice University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 2<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 9 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.mathcs.emory.edu/~dzb/ David Zureick-Brown (Emory College of Arts and Sciences)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
|}<br />
</center><br />
<br />
<br><br />
<br />
*to be confirmed<br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2019_Semester&diff=16626NTS Spring 2019 Semester2019-01-16T12:52:23Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2019 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
= Spring 2019 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 23<br />
'''Wed. Room TBA'''<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.princeton.edu/~yunqingt/ Yunqing Tang (Princeton University)]<br />
| bgcolor="#BCE2FE"| <br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 24<br />
| bgcolor="#F0B0B0" align="center" | Hassan-Mao-Smith--Zhu<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTFall2018#Sept_6 The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Jan 31<br />
| bgcolor="#F0B0B0" align="center" | [https://faculty.math.illinois.edu/~kpratt4/ Kyle Pratt (University of Illinois at Urbana-Champaign)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 7 <br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 14<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 21<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 28<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 7<br />
| bgcolor="#F0B0B0" align="center" |[https://sites.google.com/view/masoudzargar/ Masoud Zargar (Regensburg)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 14<br />
| bgcolor="#F0B0B0" align="center" | [http://www.its.caltech.edu/~mantovan/ Elena Mantovan (Caltech)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 21<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 28<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~shamgar/ SHAMGAR GUREVITCH]<br />
| bgcolor="#BCE2FE"| Harmonic Analysis on GLn over finite fields<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 4<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.tamu.edu/~wltsai/ Wei-Lun Tsai (Texas A&M University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 11<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~tmcadam/ Taylor McAdam (UCSD)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 18 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~ila/ Ila Varma (UCSD)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
| bgcolor="#F0B0B0" align="center" | [https://math.rice.edu/~jb93/ Jen Berg (Rice University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 2<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 9 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.mathcs.emory.edu/~dzb/ David Zureick-Brown (Emory College of Arts and Sciences)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
|}<br />
</center><br />
<br />
<br><br />
<br />
*to be confirmed<br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_ABSTRACTSpring2019&diff=16625NTS ABSTRACTSpring20192019-01-16T12:49:48Z<p>Ntalebiz: /* Jan 24 */</p>
<hr />
<div>Return to [https://www.math.wisc.edu/wiki/index.php/NTS ]<br />
<br />
<br />
== Jan 23 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Yunqing Tang '''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | <br />
|-<br />
| bgcolor="#BCD2EE" | <br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== Jan 24 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Hassan-Mao-Smith--Zhu'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Assume a polynomial-time algorithm for factoring integers, Conjecture~\ref{conj}, $d\geq 3,$ and $q$ and $p$ prime numbers, where $p\leq q^A$ for some $A>0$. We develop a polynomial-time algorithm in $\log(q)$ that lifts every $\mathbb{Z}/q\mathbb{Z}$ point of $S^{d-2}\subset S^{d}$ to a $\mathbb{Z}[1/p]$ point of $S^d$ with the minimum height. We implement our algorithm for $d=3 \text{ and }4$. Based on our numerical results, we formulate a conjecture which can be checked in polynomial-time and gives the optimal bound on the diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$. <br />
<br />
|} <br />
</center><br />
<br />
== Feb 8 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Roman Fedorov'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | A conjecture of Grothendieck and Serre on principal bundles in mixed characteristic<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Let G be a reductive group scheme over a regular local ring R. An old conjecture of Grothendieck and Serre predicts that such a principal bundle is trivial, if it is trivial over the fraction field of R. The conjecture has recently been proved in the "geometric" case, that is, when R contains a field. In the remaining case, the difficulty comes from the fact, that the situation is more rigid, so that a certain general position argument does not go through. I will discuss this difficulty and a way to circumvent it to obtain some partial results.<br />
<br />
|} <br />
</center><br />
<br />
== Feb 13==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Frank Calegari'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Recent Progress in Modularity<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: We survey some recent work in modularity lifting, and also describe some applications of these results. This will be based partly on joint work with Allen, Caraiani, Gee, Helm, Le Hung, Newton, Scholze, Taylor, and Thorne, and also on joint work with Boxer, Gee, and Pilloni.<br />
<br />
|} <br />
</center><br />
<br />
== Feb 15 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Junho Peter Whang'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Integral points and curves on moduli of local systems<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: We consider the Diophantine geometry of moduli spaces for <br />
special linear rank two local systems on surfaces with fixed boundary <br />
traces. After motivating their Diophantine study, we establish a <br />
structure theorem for their integral points via mapping class group <br />
descent, generalizing classical work of Markoff (1880). We also obtain <br />
Diophantine results for algebraic curves in these moduli spaces, <br />
including effective finiteness of imaginary quadratic integral points <br />
for non-special curves.<br />
<br />
|} <br />
</center><br />
<br />
== Feb 22 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Yifan Yang'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Rational torsion on the generalized Jacobian of a modular curve with cuspidal modulus<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: In this talk we consider the rational torsion<br />
subgroup of the generalized Jacobian of the modular<br />
curve X_0(N) with respect to a reduced divisor given<br />
by the sum of all cusps. When N=p is a prime, we find<br />
that the rational torsion subgroup is always cyclic<br />
of order 2 (while that of the usual Jacobian of X_0(p)<br />
grows linearly as p tends to infinity, according to a<br />
well-known result of Mazur). Subject to some unproven<br />
conjecture about the rational torsions of the Jacobian<br />
of X_0(p^n), we also determine the structure of the<br />
rational torsion subgroup of the generalized Jacobian<br />
of X_0(p^n). This is a joint work with Takao Yamazaki.<br />
<br />
|} <br />
</center><br />
<br><br />
<br />
== March 22 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Fang-Ting Tu'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Supercongrence for Rigid Hypergeometric Calabi-Yau Threefolds<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: <br />
This is a joint work with Ling Long, Noriko Yui, and Wadim Zudilin. We establish the supercongruences for the rigid hypergeometric Calabi-Yau threefolds over rational numbers. These supercongruences were conjectured by Rodriguez-Villeagas in 2003. In this work, we use two different approaches. The first method is based on Dwork's p-adic unit root theory, and the other is based on the theory of hypergeometric motives and hypergeometric functions over finite fields. In this talk, I will introduce the first method, which allows us to obtain the supercongruences for ordinary primes. <br />
<br />
<br />
|} <br />
</center><br />
<br><br />
== April 12 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Junehyuk Jung'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Quantum Unique Ergodicity and the number of nodal domains of automorphic forms<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: It has been known for decades that on a flat torus or on a sphere, there exist sequences of eigenfunctions having a bounded number of nodal domains. In contrast, for a manifold with chaotic geodesic flow, the number of nodal domains of eigenfunctions is expected to grow with the eigenvalue. In this talk, I will explain how one can prove that this is indeed true for the surfaces where the Laplacian is quantum uniquely ergodic, under certain symmetry assumptions. As an application, we prove that the number of nodal domains of Maass-Hecke eigenforms on a compact arithmetic triangles tends to $+\infty$ as the eigenvalue grows. I am going to also discuss the nodal domains of automorphic forms on $SL_2(\mathbb{Z})\backslash SL_2(\mathbb{R})$. Under a minor assumption, I will give a quick proof that the real part of weight $k\neq 0$ automorphic form has only two nodal domains. This result captures the fact that a 3-manifold with Sasaki metric never admits a chaotic geodesic flow. This talk is based on joint works with S. Zelditch and S. Jang.<br />
<br />
|} <br />
</center><br />
<br><br />
<br />
== April 19 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Hang Xue (Arizona)'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Arithmetic theta lifts and the arithmetic Gan--Gross--Prasad conjecture.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will explain the arithmetic analogue of the Gan--Gross--Prasad conjecture for unitary groups. I will also explain how to use arithmetic theta lift to prove certain endoscopic cases of it.<br />
<br />
|} <br />
</center><br />
<br><br />
<br />
== May 3 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Matilde Lalin (Université de Montréal)'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The mean value of cubic $L$-functions over function fields.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: We will start by exploring the problem of finding moments for Dirichlet $L$-functions, including the first main results and the standard conjectures. We will then discuss the problem for function fields. We will then present a result about the first moment of $L$-functions associated to cubic characters over $\F_q(t)$, when $q\equiv 1 \bmod{3}$. The case of number fields was considered in previous work, but never for the full family of cubic twists over a field containing the third roots of unity. This is joint work with C. David and A. Florea.<br />
<br />
|} <br />
</center><br />
<br><br />
<br />
== May 10 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Hector Pasten (Harvard University)'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Shimura curves and estimates for abc triples.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will explain a new connection between modular forms and the abc conjecture. In this approach, one considers maps to a given elliptic curve coming from various Shimura curves, which gives a way to obtain unconditional results towards the abc conjecture starting from good estimates for the variation of the degree of these maps. The approach to control this variation of degrees involves a number of tools, such as Arakelov geometry, automorphic forms, and analytic number theory. The final result is an unconditional estimate that lies beyond the existing techniques in the context of the abc conjecture, such as linear forms in logarithms.<br />
|} <br />
</center><br />
<br></div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_ABSTRACTSpring2019&diff=16624NTS ABSTRACTSpring20192019-01-16T12:48:55Z<p>Ntalebiz: /* Feb 1 */</p>
<hr />
<div>Return to [https://www.math.wisc.edu/wiki/index.php/NTS ]<br />
<br />
<br />
== Jan 23 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Yunqing Tang '''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | <br />
|-<br />
| bgcolor="#BCD2EE" | <br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== Jan 24 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Yunqing Tang'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Assume a polynomial-time algorithm for factoring integers, Conjecture~\ref{conj}, $d\geq 3,$ and $q$ and $p$ prime numbers, where $p\leq q^A$ for some $A>0$. We develop a polynomial-time algorithm in $\log(q)$ that lifts every $\mathbb{Z}/q\mathbb{Z}$ point of $S^{d-2}\subset S^{d}$ to a $\mathbb{Z}[1/p]$ point of $S^d$ with the minimum height. We implement our algorithm for $d=3 \text{ and }4$. Based on our numerical results, we formulate a conjecture which can be checked in polynomial-time and gives the optimal bound on the diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$. <br />
<br />
|} <br />
</center><br />
<br />
== Feb 8 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Roman Fedorov'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | A conjecture of Grothendieck and Serre on principal bundles in mixed characteristic<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Let G be a reductive group scheme over a regular local ring R. An old conjecture of Grothendieck and Serre predicts that such a principal bundle is trivial, if it is trivial over the fraction field of R. The conjecture has recently been proved in the "geometric" case, that is, when R contains a field. In the remaining case, the difficulty comes from the fact, that the situation is more rigid, so that a certain general position argument does not go through. I will discuss this difficulty and a way to circumvent it to obtain some partial results.<br />
<br />
|} <br />
</center><br />
<br />
== Feb 13==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Frank Calegari'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Recent Progress in Modularity<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: We survey some recent work in modularity lifting, and also describe some applications of these results. This will be based partly on joint work with Allen, Caraiani, Gee, Helm, Le Hung, Newton, Scholze, Taylor, and Thorne, and also on joint work with Boxer, Gee, and Pilloni.<br />
<br />
|} <br />
</center><br />
<br />
== Feb 15 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Junho Peter Whang'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Integral points and curves on moduli of local systems<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: We consider the Diophantine geometry of moduli spaces for <br />
special linear rank two local systems on surfaces with fixed boundary <br />
traces. After motivating their Diophantine study, we establish a <br />
structure theorem for their integral points via mapping class group <br />
descent, generalizing classical work of Markoff (1880). We also obtain <br />
Diophantine results for algebraic curves in these moduli spaces, <br />
including effective finiteness of imaginary quadratic integral points <br />
for non-special curves.<br />
<br />
|} <br />
</center><br />
<br />
== Feb 22 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Yifan Yang'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Rational torsion on the generalized Jacobian of a modular curve with cuspidal modulus<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: In this talk we consider the rational torsion<br />
subgroup of the generalized Jacobian of the modular<br />
curve X_0(N) with respect to a reduced divisor given<br />
by the sum of all cusps. When N=p is a prime, we find<br />
that the rational torsion subgroup is always cyclic<br />
of order 2 (while that of the usual Jacobian of X_0(p)<br />
grows linearly as p tends to infinity, according to a<br />
well-known result of Mazur). Subject to some unproven<br />
conjecture about the rational torsions of the Jacobian<br />
of X_0(p^n), we also determine the structure of the<br />
rational torsion subgroup of the generalized Jacobian<br />
of X_0(p^n). This is a joint work with Takao Yamazaki.<br />
<br />
|} <br />
</center><br />
<br><br />
<br />
== March 22 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Fang-Ting Tu'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Supercongrence for Rigid Hypergeometric Calabi-Yau Threefolds<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: <br />
This is a joint work with Ling Long, Noriko Yui, and Wadim Zudilin. We establish the supercongruences for the rigid hypergeometric Calabi-Yau threefolds over rational numbers. These supercongruences were conjectured by Rodriguez-Villeagas in 2003. In this work, we use two different approaches. The first method is based on Dwork's p-adic unit root theory, and the other is based on the theory of hypergeometric motives and hypergeometric functions over finite fields. In this talk, I will introduce the first method, which allows us to obtain the supercongruences for ordinary primes. <br />
<br />
<br />
|} <br />
</center><br />
<br><br />
== April 12 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Junehyuk Jung'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Quantum Unique Ergodicity and the number of nodal domains of automorphic forms<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: It has been known for decades that on a flat torus or on a sphere, there exist sequences of eigenfunctions having a bounded number of nodal domains. In contrast, for a manifold with chaotic geodesic flow, the number of nodal domains of eigenfunctions is expected to grow with the eigenvalue. In this talk, I will explain how one can prove that this is indeed true for the surfaces where the Laplacian is quantum uniquely ergodic, under certain symmetry assumptions. As an application, we prove that the number of nodal domains of Maass-Hecke eigenforms on a compact arithmetic triangles tends to $+\infty$ as the eigenvalue grows. I am going to also discuss the nodal domains of automorphic forms on $SL_2(\mathbb{Z})\backslash SL_2(\mathbb{R})$. Under a minor assumption, I will give a quick proof that the real part of weight $k\neq 0$ automorphic form has only two nodal domains. This result captures the fact that a 3-manifold with Sasaki metric never admits a chaotic geodesic flow. This talk is based on joint works with S. Zelditch and S. Jang.<br />
<br />
|} <br />
</center><br />
<br><br />
<br />
== April 19 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Hang Xue (Arizona)'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Arithmetic theta lifts and the arithmetic Gan--Gross--Prasad conjecture.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will explain the arithmetic analogue of the Gan--Gross--Prasad conjecture for unitary groups. I will also explain how to use arithmetic theta lift to prove certain endoscopic cases of it.<br />
<br />
|} <br />
</center><br />
<br><br />
<br />
== May 3 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Matilde Lalin (Université de Montréal)'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The mean value of cubic $L$-functions over function fields.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: We will start by exploring the problem of finding moments for Dirichlet $L$-functions, including the first main results and the standard conjectures. We will then discuss the problem for function fields. We will then present a result about the first moment of $L$-functions associated to cubic characters over $\F_q(t)$, when $q\equiv 1 \bmod{3}$. The case of number fields was considered in previous work, but never for the full family of cubic twists over a field containing the third roots of unity. This is joint work with C. David and A. Florea.<br />
<br />
|} <br />
</center><br />
<br><br />
<br />
== May 10 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Hector Pasten (Harvard University)'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Shimura curves and estimates for abc triples.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will explain a new connection between modular forms and the abc conjecture. In this approach, one considers maps to a given elliptic curve coming from various Shimura curves, which gives a way to obtain unconditional results towards the abc conjecture starting from good estimates for the variation of the degree of these maps. The approach to control this variation of degrees involves a number of tools, such as Arakelov geometry, automorphic forms, and analytic number theory. The final result is an unconditional estimate that lies beyond the existing techniques in the context of the abc conjecture, such as linear forms in logarithms.<br />
|} <br />
</center><br />
<br></div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_ABSTRACTSpring2019&diff=16623NTS ABSTRACTSpring20192019-01-16T12:48:27Z<p>Ntalebiz: /* Feb 1 */</p>
<hr />
<div>Return to [https://www.math.wisc.edu/wiki/index.php/NTS ]<br />
<br />
<br />
== Jan 23 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Yunqing Tang '''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | <br />
|-<br />
| bgcolor="#BCD2EE" | <br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== Feb 1 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Yunqing Tang'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Assume a polynomial-time algorithm for factoring integers, Conjecture~\ref{conj}, $d\geq 3,$ and $q$ and $p$ prime numbers, where $p\leq q^A$ for some $A>0$. We develop a polynomial-time algorithm in $\log(q)$ that lifts every $\mathbb{Z}/q\mathbb{Z}$ point of $S^{d-2}\subset S^{d}$ to a $\mathbb{Z}[1/p]$ point of $S^d$ with the minimum height. We implement our algorithm for $d=3 \text{ and }4$. Based on our numerical results, we formulate a conjecture which can be checked in polynomial-time and gives the optimal bound on the diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$. <br />
<br />
|} <br />
</center><br />
<br />
== Feb 8 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Roman Fedorov'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | A conjecture of Grothendieck and Serre on principal bundles in mixed characteristic<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Let G be a reductive group scheme over a regular local ring R. An old conjecture of Grothendieck and Serre predicts that such a principal bundle is trivial, if it is trivial over the fraction field of R. The conjecture has recently been proved in the "geometric" case, that is, when R contains a field. In the remaining case, the difficulty comes from the fact, that the situation is more rigid, so that a certain general position argument does not go through. I will discuss this difficulty and a way to circumvent it to obtain some partial results.<br />
<br />
|} <br />
</center><br />
<br />
== Feb 13==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Frank Calegari'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Recent Progress in Modularity<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: We survey some recent work in modularity lifting, and also describe some applications of these results. This will be based partly on joint work with Allen, Caraiani, Gee, Helm, Le Hung, Newton, Scholze, Taylor, and Thorne, and also on joint work with Boxer, Gee, and Pilloni.<br />
<br />
|} <br />
</center><br />
<br />
== Feb 15 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Junho Peter Whang'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Integral points and curves on moduli of local systems<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: We consider the Diophantine geometry of moduli spaces for <br />
special linear rank two local systems on surfaces with fixed boundary <br />
traces. After motivating their Diophantine study, we establish a <br />
structure theorem for their integral points via mapping class group <br />
descent, generalizing classical work of Markoff (1880). We also obtain <br />
Diophantine results for algebraic curves in these moduli spaces, <br />
including effective finiteness of imaginary quadratic integral points <br />
for non-special curves.<br />
<br />
|} <br />
</center><br />
<br />
== Feb 22 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Yifan Yang'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Rational torsion on the generalized Jacobian of a modular curve with cuspidal modulus<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: In this talk we consider the rational torsion<br />
subgroup of the generalized Jacobian of the modular<br />
curve X_0(N) with respect to a reduced divisor given<br />
by the sum of all cusps. When N=p is a prime, we find<br />
that the rational torsion subgroup is always cyclic<br />
of order 2 (while that of the usual Jacobian of X_0(p)<br />
grows linearly as p tends to infinity, according to a<br />
well-known result of Mazur). Subject to some unproven<br />
conjecture about the rational torsions of the Jacobian<br />
of X_0(p^n), we also determine the structure of the<br />
rational torsion subgroup of the generalized Jacobian<br />
of X_0(p^n). This is a joint work with Takao Yamazaki.<br />
<br />
|} <br />
</center><br />
<br><br />
<br />
== March 22 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Fang-Ting Tu'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Supercongrence for Rigid Hypergeometric Calabi-Yau Threefolds<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: <br />
This is a joint work with Ling Long, Noriko Yui, and Wadim Zudilin. We establish the supercongruences for the rigid hypergeometric Calabi-Yau threefolds over rational numbers. These supercongruences were conjectured by Rodriguez-Villeagas in 2003. In this work, we use two different approaches. The first method is based on Dwork's p-adic unit root theory, and the other is based on the theory of hypergeometric motives and hypergeometric functions over finite fields. In this talk, I will introduce the first method, which allows us to obtain the supercongruences for ordinary primes. <br />
<br />
<br />
|} <br />
</center><br />
<br><br />
== April 12 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Junehyuk Jung'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Quantum Unique Ergodicity and the number of nodal domains of automorphic forms<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: It has been known for decades that on a flat torus or on a sphere, there exist sequences of eigenfunctions having a bounded number of nodal domains. In contrast, for a manifold with chaotic geodesic flow, the number of nodal domains of eigenfunctions is expected to grow with the eigenvalue. In this talk, I will explain how one can prove that this is indeed true for the surfaces where the Laplacian is quantum uniquely ergodic, under certain symmetry assumptions. As an application, we prove that the number of nodal domains of Maass-Hecke eigenforms on a compact arithmetic triangles tends to $+\infty$ as the eigenvalue grows. I am going to also discuss the nodal domains of automorphic forms on $SL_2(\mathbb{Z})\backslash SL_2(\mathbb{R})$. Under a minor assumption, I will give a quick proof that the real part of weight $k\neq 0$ automorphic form has only two nodal domains. This result captures the fact that a 3-manifold with Sasaki metric never admits a chaotic geodesic flow. This talk is based on joint works with S. Zelditch and S. Jang.<br />
<br />
|} <br />
</center><br />
<br><br />
<br />
== April 19 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Hang Xue (Arizona)'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Arithmetic theta lifts and the arithmetic Gan--Gross--Prasad conjecture.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will explain the arithmetic analogue of the Gan--Gross--Prasad conjecture for unitary groups. I will also explain how to use arithmetic theta lift to prove certain endoscopic cases of it.<br />
<br />
|} <br />
</center><br />
<br><br />
<br />
== May 3 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Matilde Lalin (Université de Montréal)'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The mean value of cubic $L$-functions over function fields.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: We will start by exploring the problem of finding moments for Dirichlet $L$-functions, including the first main results and the standard conjectures. We will then discuss the problem for function fields. We will then present a result about the first moment of $L$-functions associated to cubic characters over $\F_q(t)$, when $q\equiv 1 \bmod{3}$. The case of number fields was considered in previous work, but never for the full family of cubic twists over a field containing the third roots of unity. This is joint work with C. David and A. Florea.<br />
<br />
|} <br />
</center><br />
<br><br />
<br />
== May 10 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Hector Pasten (Harvard University)'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Shimura curves and estimates for abc triples.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will explain a new connection between modular forms and the abc conjecture. In this approach, one considers maps to a given elliptic curve coming from various Shimura curves, which gives a way to obtain unconditional results towards the abc conjecture starting from good estimates for the variation of the degree of these maps. The approach to control this variation of degrees involves a number of tools, such as Arakelov geometry, automorphic forms, and analytic number theory. The final result is an unconditional estimate that lies beyond the existing techniques in the context of the abc conjecture, such as linear forms in logarithms.<br />
|} <br />
</center><br />
<br></div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_ABSTRACTSpring2019&diff=16622NTS ABSTRACTSpring20192019-01-16T12:44:28Z<p>Ntalebiz: /* Jan 25 */</p>
<hr />
<div>Return to [https://www.math.wisc.edu/wiki/index.php/NTS ]<br />
<br />
<br />
== Jan 23 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Yunqing Tang '''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | <br />
|-<br />
| bgcolor="#BCD2EE" | <br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== Feb 1 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Yunqing Tang'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Exceptional splitting of reductions of abelian surfaces with real multiplication<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Zywina showed that after passing to a suitable field extension, every abelian surface $A$ with real multiplication over some number field has geometrically simple reduction modulo $\frak{p}$ for a density one set of primes $\frak{p}$. One may ask whether its complement, the density zero set of primes $\frak{p}$ such that the reduction of $A$ modulo $\frak{p}$ is not geometrically simple, is infinite. Such question is analogous to the study of exceptional mod $\frak{p}$ isogeny between two elliptic curves in the recent work of Charles. In this talk, I will show that abelian surfaces over number fields with real multiplication have infinitely many non-geometrically-simple reductions. This is joint work with Ananth Shankar.<br />
<br />
|} <br />
</center><br />
<br />
<br />
<br />
== Feb 8 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Roman Fedorov'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | A conjecture of Grothendieck and Serre on principal bundles in mixed characteristic<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Let G be a reductive group scheme over a regular local ring R. An old conjecture of Grothendieck and Serre predicts that such a principal bundle is trivial, if it is trivial over the fraction field of R. The conjecture has recently been proved in the "geometric" case, that is, when R contains a field. In the remaining case, the difficulty comes from the fact, that the situation is more rigid, so that a certain general position argument does not go through. I will discuss this difficulty and a way to circumvent it to obtain some partial results.<br />
<br />
|} <br />
</center><br />
<br />
== Feb 13==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Frank Calegari'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Recent Progress in Modularity<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: We survey some recent work in modularity lifting, and also describe some applications of these results. This will be based partly on joint work with Allen, Caraiani, Gee, Helm, Le Hung, Newton, Scholze, Taylor, and Thorne, and also on joint work with Boxer, Gee, and Pilloni.<br />
<br />
|} <br />
</center><br />
<br />
== Feb 15 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Junho Peter Whang'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Integral points and curves on moduli of local systems<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: We consider the Diophantine geometry of moduli spaces for <br />
special linear rank two local systems on surfaces with fixed boundary <br />
traces. After motivating their Diophantine study, we establish a <br />
structure theorem for their integral points via mapping class group <br />
descent, generalizing classical work of Markoff (1880). We also obtain <br />
Diophantine results for algebraic curves in these moduli spaces, <br />
including effective finiteness of imaginary quadratic integral points <br />
for non-special curves.<br />
<br />
|} <br />
</center><br />
<br />
== Feb 22 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Yifan Yang'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Rational torsion on the generalized Jacobian of a modular curve with cuspidal modulus<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: In this talk we consider the rational torsion<br />
subgroup of the generalized Jacobian of the modular<br />
curve X_0(N) with respect to a reduced divisor given<br />
by the sum of all cusps. When N=p is a prime, we find<br />
that the rational torsion subgroup is always cyclic<br />
of order 2 (while that of the usual Jacobian of X_0(p)<br />
grows linearly as p tends to infinity, according to a<br />
well-known result of Mazur). Subject to some unproven<br />
conjecture about the rational torsions of the Jacobian<br />
of X_0(p^n), we also determine the structure of the<br />
rational torsion subgroup of the generalized Jacobian<br />
of X_0(p^n). This is a joint work with Takao Yamazaki.<br />
<br />
|} <br />
</center><br />
<br><br />
<br />
== March 22 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Fang-Ting Tu'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Supercongrence for Rigid Hypergeometric Calabi-Yau Threefolds<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: <br />
This is a joint work with Ling Long, Noriko Yui, and Wadim Zudilin. We establish the supercongruences for the rigid hypergeometric Calabi-Yau threefolds over rational numbers. These supercongruences were conjectured by Rodriguez-Villeagas in 2003. In this work, we use two different approaches. The first method is based on Dwork's p-adic unit root theory, and the other is based on the theory of hypergeometric motives and hypergeometric functions over finite fields. In this talk, I will introduce the first method, which allows us to obtain the supercongruences for ordinary primes. <br />
<br />
<br />
|} <br />
</center><br />
<br><br />
== April 12 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Junehyuk Jung'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Quantum Unique Ergodicity and the number of nodal domains of automorphic forms<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: It has been known for decades that on a flat torus or on a sphere, there exist sequences of eigenfunctions having a bounded number of nodal domains. In contrast, for a manifold with chaotic geodesic flow, the number of nodal domains of eigenfunctions is expected to grow with the eigenvalue. In this talk, I will explain how one can prove that this is indeed true for the surfaces where the Laplacian is quantum uniquely ergodic, under certain symmetry assumptions. As an application, we prove that the number of nodal domains of Maass-Hecke eigenforms on a compact arithmetic triangles tends to $+\infty$ as the eigenvalue grows. I am going to also discuss the nodal domains of automorphic forms on $SL_2(\mathbb{Z})\backslash SL_2(\mathbb{R})$. Under a minor assumption, I will give a quick proof that the real part of weight $k\neq 0$ automorphic form has only two nodal domains. This result captures the fact that a 3-manifold with Sasaki metric never admits a chaotic geodesic flow. This talk is based on joint works with S. Zelditch and S. Jang.<br />
<br />
|} <br />
</center><br />
<br><br />
<br />
== April 19 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Hang Xue (Arizona)'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Arithmetic theta lifts and the arithmetic Gan--Gross--Prasad conjecture.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will explain the arithmetic analogue of the Gan--Gross--Prasad conjecture for unitary groups. I will also explain how to use arithmetic theta lift to prove certain endoscopic cases of it.<br />
<br />
|} <br />
</center><br />
<br><br />
<br />
== May 3 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Matilde Lalin (Université de Montréal)'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The mean value of cubic $L$-functions over function fields.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: We will start by exploring the problem of finding moments for Dirichlet $L$-functions, including the first main results and the standard conjectures. We will then discuss the problem for function fields. We will then present a result about the first moment of $L$-functions associated to cubic characters over $\F_q(t)$, when $q\equiv 1 \bmod{3}$. The case of number fields was considered in previous work, but never for the full family of cubic twists over a field containing the third roots of unity. This is joint work with C. David and A. Florea.<br />
<br />
|} <br />
</center><br />
<br><br />
<br />
== May 10 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Hector Pasten (Harvard University)'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Shimura curves and estimates for abc triples.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will explain a new connection between modular forms and the abc conjecture. In this approach, one considers maps to a given elliptic curve coming from various Shimura curves, which gives a way to obtain unconditional results towards the abc conjecture starting from good estimates for the variation of the degree of these maps. The approach to control this variation of degrees involves a number of tools, such as Arakelov geometry, automorphic forms, and analytic number theory. The final result is an unconditional estimate that lies beyond the existing techniques in the context of the abc conjecture, such as linear forms in logarithms.<br />
|} <br />
</center><br />
<br></div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_ABSTRACTSpring2019&diff=16621NTS ABSTRACTSpring20192019-01-16T12:43:19Z<p>Ntalebiz: </p>
<hr />
<div>Return to [https://www.math.wisc.edu/wiki/index.php/NTS ]<br />
<br />
<br />
== Jan 25 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Asif Ali Zaman '''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | A log-free zero density estimate for Rankin-Selberg $L$-functions and applications<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract:We discuss a log-free zero density estimate for Rankin-Selberg $L$-functions of the form $L(s,\pi\times\pi_0)$, where $\pi$ varies in a given set of cusp forms and $\pi_0$ is a fixed cusp form. This estimate is unconditional in many cases of interest, and holds in full generality assuming an average form of the generalized Ramanujan conjecture. There are several applications of this density estimate related to the rarity of Landau-Siegel zeros of Rankin-Selberg $L$-functions, the Chebotarev density theorem, and nontrivial bounds for torsion in class groups of number fields assuming the existence of a Siegel zero. We will highlight the latter two topics. This represents joint work with Jesse Thorner. <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== Feb 1 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Yunqing Tang'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Exceptional splitting of reductions of abelian surfaces with real multiplication<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Zywina showed that after passing to a suitable field extension, every abelian surface $A$ with real multiplication over some number field has geometrically simple reduction modulo $\frak{p}$ for a density one set of primes $\frak{p}$. One may ask whether its complement, the density zero set of primes $\frak{p}$ such that the reduction of $A$ modulo $\frak{p}$ is not geometrically simple, is infinite. Such question is analogous to the study of exceptional mod $\frak{p}$ isogeny between two elliptic curves in the recent work of Charles. In this talk, I will show that abelian surfaces over number fields with real multiplication have infinitely many non-geometrically-simple reductions. This is joint work with Ananth Shankar.<br />
<br />
|} <br />
</center><br />
<br />
<br />
<br />
== Feb 8 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Roman Fedorov'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | A conjecture of Grothendieck and Serre on principal bundles in mixed characteristic<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Let G be a reductive group scheme over a regular local ring R. An old conjecture of Grothendieck and Serre predicts that such a principal bundle is trivial, if it is trivial over the fraction field of R. The conjecture has recently been proved in the "geometric" case, that is, when R contains a field. In the remaining case, the difficulty comes from the fact, that the situation is more rigid, so that a certain general position argument does not go through. I will discuss this difficulty and a way to circumvent it to obtain some partial results.<br />
<br />
|} <br />
</center><br />
<br />
== Feb 13==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Frank Calegari'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Recent Progress in Modularity<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: We survey some recent work in modularity lifting, and also describe some applications of these results. This will be based partly on joint work with Allen, Caraiani, Gee, Helm, Le Hung, Newton, Scholze, Taylor, and Thorne, and also on joint work with Boxer, Gee, and Pilloni.<br />
<br />
|} <br />
</center><br />
<br />
== Feb 15 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Junho Peter Whang'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Integral points and curves on moduli of local systems<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: We consider the Diophantine geometry of moduli spaces for <br />
special linear rank two local systems on surfaces with fixed boundary <br />
traces. After motivating their Diophantine study, we establish a <br />
structure theorem for their integral points via mapping class group <br />
descent, generalizing classical work of Markoff (1880). We also obtain <br />
Diophantine results for algebraic curves in these moduli spaces, <br />
including effective finiteness of imaginary quadratic integral points <br />
for non-special curves.<br />
<br />
|} <br />
</center><br />
<br />
== Feb 22 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Yifan Yang'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Rational torsion on the generalized Jacobian of a modular curve with cuspidal modulus<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: In this talk we consider the rational torsion<br />
subgroup of the generalized Jacobian of the modular<br />
curve X_0(N) with respect to a reduced divisor given<br />
by the sum of all cusps. When N=p is a prime, we find<br />
that the rational torsion subgroup is always cyclic<br />
of order 2 (while that of the usual Jacobian of X_0(p)<br />
grows linearly as p tends to infinity, according to a<br />
well-known result of Mazur). Subject to some unproven<br />
conjecture about the rational torsions of the Jacobian<br />
of X_0(p^n), we also determine the structure of the<br />
rational torsion subgroup of the generalized Jacobian<br />
of X_0(p^n). This is a joint work with Takao Yamazaki.<br />
<br />
|} <br />
</center><br />
<br><br />
<br />
== March 22 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Fang-Ting Tu'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Supercongrence for Rigid Hypergeometric Calabi-Yau Threefolds<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: <br />
This is a joint work with Ling Long, Noriko Yui, and Wadim Zudilin. We establish the supercongruences for the rigid hypergeometric Calabi-Yau threefolds over rational numbers. These supercongruences were conjectured by Rodriguez-Villeagas in 2003. In this work, we use two different approaches. The first method is based on Dwork's p-adic unit root theory, and the other is based on the theory of hypergeometric motives and hypergeometric functions over finite fields. In this talk, I will introduce the first method, which allows us to obtain the supercongruences for ordinary primes. <br />
<br />
<br />
|} <br />
</center><br />
<br><br />
== April 12 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Junehyuk Jung'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Quantum Unique Ergodicity and the number of nodal domains of automorphic forms<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: It has been known for decades that on a flat torus or on a sphere, there exist sequences of eigenfunctions having a bounded number of nodal domains. In contrast, for a manifold with chaotic geodesic flow, the number of nodal domains of eigenfunctions is expected to grow with the eigenvalue. In this talk, I will explain how one can prove that this is indeed true for the surfaces where the Laplacian is quantum uniquely ergodic, under certain symmetry assumptions. As an application, we prove that the number of nodal domains of Maass-Hecke eigenforms on a compact arithmetic triangles tends to $+\infty$ as the eigenvalue grows. I am going to also discuss the nodal domains of automorphic forms on $SL_2(\mathbb{Z})\backslash SL_2(\mathbb{R})$. Under a minor assumption, I will give a quick proof that the real part of weight $k\neq 0$ automorphic form has only two nodal domains. This result captures the fact that a 3-manifold with Sasaki metric never admits a chaotic geodesic flow. This talk is based on joint works with S. Zelditch and S. Jang.<br />
<br />
|} <br />
</center><br />
<br><br />
<br />
== April 19 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Hang Xue (Arizona)'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Arithmetic theta lifts and the arithmetic Gan--Gross--Prasad conjecture.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will explain the arithmetic analogue of the Gan--Gross--Prasad conjecture for unitary groups. I will also explain how to use arithmetic theta lift to prove certain endoscopic cases of it.<br />
<br />
|} <br />
</center><br />
<br><br />
<br />
== May 3 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Matilde Lalin (Université de Montréal)'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The mean value of cubic $L$-functions over function fields.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: We will start by exploring the problem of finding moments for Dirichlet $L$-functions, including the first main results and the standard conjectures. We will then discuss the problem for function fields. We will then present a result about the first moment of $L$-functions associated to cubic characters over $\F_q(t)$, when $q\equiv 1 \bmod{3}$. The case of number fields was considered in previous work, but never for the full family of cubic twists over a field containing the third roots of unity. This is joint work with C. David and A. Florea.<br />
<br />
|} <br />
</center><br />
<br><br />
<br />
== May 10 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Hector Pasten (Harvard University)'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Shimura curves and estimates for abc triples.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will explain a new connection between modular forms and the abc conjecture. In this approach, one considers maps to a given elliptic curve coming from various Shimura curves, which gives a way to obtain unconditional results towards the abc conjecture starting from good estimates for the variation of the degree of these maps. The approach to control this variation of degrees involves a number of tools, such as Arakelov geometry, automorphic forms, and analytic number theory. The final result is an unconditional estimate that lies beyond the existing techniques in the context of the abc conjecture, such as linear forms in logarithms.<br />
|} <br />
</center><br />
<br></div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_ABSTRACTSpring2019&diff=16620NTS ABSTRACTSpring20192019-01-16T12:42:05Z<p>Ntalebiz: Created page with "= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison = *'''When:''' Thursdays, 2:30 PM – 3:30 PM *'''Where:''' Van Vleck B113 *Please join th..."</p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2018 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
<br />
<br />
= Spring 2018 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 25<br />
| bgcolor="#F0B0B0" align="center" |[https://profiles.stanford.edu/asif-zaman/ Asif Ali Zaman (Stanford)] <br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2018#Feb_1 " A log-free zero density estimate for Rankin-Selberg $L$-functions and applications"] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 1<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.princeton.edu/~yunqingt/ Yunqing Tang (Princeton)] <br />
| bgcolor="#BCE2FE"|[https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2018#Feb_1 "Exceptional splitting of reductions of abelian surfaces with real multiplication"]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 8 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.mathematics.pitt.edu/person/roman-fedorov Roman Fedorov (University of Pittsburgh)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2018#Feb_1 " A conjecture of Grothendieck and Serre on principal bundles in mixed characteristic"]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 13 (note special day!)<br />
| bgcolor="#F0B0B0" align="center" | [http://math.uchicago.edu/~fcale/ Frank Calegari (U. Chicago)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2018#Feb_13 "Recent Progress in Modularity"]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 15<br />
| bgcolor="#F0B0B0" align="center" | [https://web.math.princeton.edu/~jwhang/ Junho Peter Whang (Princeton)]<br />
| bgcolor="#BCE2FE"|[https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2018#Feb_15 " Integral points and curves on moduli of local systems"]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 22<br />
| bgcolor="#F0B0B0" align="center" | Yifan Yang<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2018#Feb_22 "Rational torsion on the generalized Jacobian of a modular curve with cuspidal modulus"] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 1<br />
| bgcolor="#F0B0B0" align="center" |[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg (UW Madison)] <br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2018#March_1 "Additive number theory from the algebro-geometric point of view"]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 8<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 15<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 22<br />
| bgcolor="#F0B0B0" align="center" | Fang-Ting Tu<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2018#Feb_15 " Supercongrence for Rigid Hypergeometric Calabi-Yau Threefolds"]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 29<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 5<br />
| bgcolor="#F0B0B0" align="center" | Special doubleheader! [http://www.lolathompson.com/ Lola Thompson (Oberlin)] and [https://sites.google.com/site/dmcreyn/home Ben McReynolds (Purdue)], 2:30-4:30 <br />
| bgcolor="#BCE2FE"| "Counting and effective rigidity in algebra and geometry"<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 12<br />
| bgcolor="#F0B0B0" align="center" | Junehyuk Jung (Texas A&M)<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2018#April_12 "Quantum Unique Ergodicity and the number of nodal domains of automorphic forms "]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 19 <br />
| bgcolor="#F0B0B0" align="center" | [http://math.arizona.edu/~xuehang/ Hang Xue (Arizona)] <br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2018#April_12 "Arithmetic theta lifts and the arithmetic Gan--Gross--Prasad conjecture. "]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 26<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 3<br />
| bgcolor="#F0B0B0" align="center" | [http://www.dms.umontreal.ca/~mlalin/ Matilde Lalin (Université de Montréal)] <br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2018#May_3 "The mean value of cubic $L$-functions over function fields. "]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 10 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.harvard.edu/~hpasten/ Hector Pasten (Harvard)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2018#May_10 "Shimura curves and estimates for abc triples. "]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 17<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 24 <br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
<br />
|}<br />
</center><br />
<br />
<br><br />
<br />
= Organizer contact information =<br />
<br />
Naser Talebizadeh Sardari [http://www.math.wisc.edu/~ntalebiz/]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2019_Semester&diff=16607NTS Spring 2019 Semester2019-01-13T18:29:34Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2018 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
<br />
<br />
= Spring 2019 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 23<br />
'''Wed. Room TBA'''<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.princeton.edu/~yunqingt/ Yunqing Tang (Princeton University)]<br />
| bgcolor="#BCE2FE"| <br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 24<br />
| bgcolor="#F0B0B0" align="center" | Hassan-Mao-Smith--Zhu<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Jan 31<br />
| bgcolor="#F0B0B0" align="center" | [https://faculty.math.illinois.edu/~kpratt4/ Kyle Pratt (University of Illinois at Urbana-Champaign)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 7 <br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 14<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 21<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 28<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 7<br />
| bgcolor="#F0B0B0" align="center" |[https://sites.google.com/view/masoudzargar/ Masoud Zargar (Regensburg)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 14<br />
| bgcolor="#F0B0B0" align="center" | [http://www.its.caltech.edu/~mantovan/ Elena Mantovan (Caltech)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 21<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 28<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~shamgar/ SHAMGAR GUREVITCH]<br />
| bgcolor="#BCE2FE"| Harmonic Analysis on GLn over finite fields<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 4<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.tamu.edu/~wltsai/ Wei-Lun Tsai (Texas A&M University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 11<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~tmcadam/ Taylor McAdam (UCSD)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 18 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~ila/ Ila Varma (UCSD)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
| bgcolor="#F0B0B0" align="center" | [https://math.rice.edu/~jb93/ Jen Berg (Rice University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 2<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 9 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.mathcs.emory.edu/~dzb/ David Zureick-Brown (Emory College of Arts and Sciences)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
|}<br />
</center><br />
<br />
<br><br />
<br />
*to be confirmed<br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2019_Semester&diff=16606NTS Spring 2019 Semester2019-01-13T18:28:06Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2018 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
<br />
<br />
= Spring 2019 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 23<br />
'''Wed. Room TBA'''<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.princeton.edu/~yunqingt/ Yunqing Tang (Princeton University)]<br />
| bgcolor="#BCE2FE"| <br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 24<br />
| bgcolor="#F0B0B0" align="center" | Hassan-Mao-Smith--Zhu<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Jan 31<br />
| bgcolor="#F0B0B0" align="center" | [https://faculty.math.illinois.edu/~kpratt4/ Kyle Pratt (University of Illinois at Urbana-Champaign)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 7 <br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 14<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 21<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 28<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 7<br />
| bgcolor="#F0B0B0" align="center" |[https://sites.google.com/view/masoudzargar/ Masoud Zargar (Regensburg)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 14<br />
| bgcolor="#F0B0B0" align="center" | [http://www.its.caltech.edu/~mantovan/ Elena Mantovan (Caltech)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 21<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 28<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~shamgar/ SHAMGAR GUREVITCH]<br />
| bgcolor="#BCE2FE"| Harmonic Analysis on GLn over finite fields<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 4<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.tamu.edu/~wltsai/ Wei-Lun Tsai (Texas A&M University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 11<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~tmcadam/ Taylor McAdam (UCSD)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 18 <br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
| bgcolor="#F0B0B0" align="center" | [https://math.rice.edu/~jb93/ Jen Berg (Rice University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 2<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~ila/ Ila Varma (UCSD)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 9 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.mathcs.emory.edu/~dzb/ David Zureick-Brown (Emory College of Arts and Sciences)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
|}<br />
</center><br />
<br />
<br><br />
<br />
*to be confirmed<br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2019_Semester&diff=16578NTS Spring 2019 Semester2018-12-23T16:55:58Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2018 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
<br />
<br />
= Spring 2019 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 23<br />
'''Wed. Room TBA'''<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.princeton.edu/~yunqingt/ Yunqing Tang (Princeton University)]<br />
| bgcolor="#BCE2FE"| <br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 24<br />
| bgcolor="#F0B0B0" align="center" | Hassan-Mao-Smith--Zhu<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Jan 31<br />
| bgcolor="#F0B0B0" align="center" | [https://faculty.math.illinois.edu/~kpratt4/ Kyle Pratt (University of Illinois at Urbana-Champaign)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 7 <br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 14<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 21<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 28<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 7<br />
| bgcolor="#F0B0B0" align="center" |[https://sites.google.com/view/masoudzargar/ Masoud Zargar (Regensburg)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 14<br />
| bgcolor="#F0B0B0" align="center" | [http://www.its.caltech.edu/~mantovan/ Elena Mantovan (Caltech)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 21<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 28<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 4<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.tamu.edu/~wltsai/ Wei-Lun Tsai (Texas A&M University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 11<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~tmcadam/ Taylor McAdam (UCSD)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 18 <br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
| bgcolor="#F0B0B0" align="center" | [https://math.rice.edu/~jb93/ Jen Berg (Rice University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 2<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~ila/ Ila Varma (UCSD)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 9 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.mathcs.emory.edu/~dzb/ David Zureick-Brown (Emory College of Arts and Sciences)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
|}<br />
</center><br />
<br />
<br><br />
<br />
*to be confirmed<br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2019_Semester&diff=16577NTS Spring 2019 Semester2018-12-23T16:31:17Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2018 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
<br />
<br />
= Spring 2019 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 23<br />
'''Wed. Room TBA'''<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.princeton.edu/~yunqingt/ Yunqing Tang (Princeton University)]<br />
| bgcolor="#BCE2FE"| <br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 24<br />
| bgcolor="#F0B0B0" align="center" | Hassan-Mao-Smith--Zhu<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Jan 31<br />
| bgcolor="#F0B0B0" align="center" | [https://faculty.math.illinois.edu/~kpratt4/ Kyle Pratt (University of Illinois at Urbana-Champaign)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 7 <br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 14<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 21<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 28<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 7<br />
| bgcolor="#F0B0B0" align="center" |[https://sites.google.com/view/masoudzargar/ Masoud Zargar (Regensburg)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 14<br />
| bgcolor="#F0B0B0" align="center" | [http://www.its.caltech.edu/~mantovan/ Elena Mantovan (Caltech)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 21<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 28<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 4<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.tamu.edu/~wltsai/ Wei-Lun Tsai (Texas A&M University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 11<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~tmcadam/ Taylor McAdam (UCSD)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 18 <br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
| bgcolor="#F0B0B0" align="center" | [https://math.rice.edu/~jb93/ Jen Berg (Rice University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 2<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~ila/ Ila Varma]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 9 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.mathcs.emory.edu/~dzb/ David Zureick-Brown (Emory College of Arts and Sciences)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
|}<br />
</center><br />
<br />
<br><br />
<br />
*to be confirmed<br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2019_Semester&diff=16569NTS Spring 2019 Semester2018-12-19T15:07:06Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2018 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
<br />
<br />
= Spring 2019 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 23<br />
'''Wed. Room TBA'''<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.princeton.edu/~yunqingt/ Yunqing Tang (Princeton University)]<br />
| bgcolor="#BCE2FE"| <br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 24<br />
| bgcolor="#F0B0B0" align="center" | Hassan-Mao-Smith--Zhu<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Jan 31<br />
| bgcolor="#F0B0B0" align="center" | [https://faculty.math.illinois.edu/~kpratt4/ Kyle Pratt (University of Illinois at Urbana-Champaign)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 7 <br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 14<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 21<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 28<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.tamu.edu/~wltsai/ Wei-Lun Tsai (Texas A&M University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 7<br />
| bgcolor="#F0B0B0" align="center" |[https://sites.google.com/view/masoudzargar/ Masoud Zargar (Regensburg)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 14<br />
| bgcolor="#F0B0B0" align="center" | [http://www.its.caltech.edu/~mantovan/ Elena Mantovan (Caltech)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 21<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 28<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 4<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 11<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~tmcadam/ Taylor McAdam (UCSD)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 18 <br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 2<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 9 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.mathcs.emory.edu/~dzb/ David Zureick-Brown]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
|}<br />
</center><br />
<br />
<br><br />
<br />
*to be confirmed<br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2019_Semester&diff=16558NTS Spring 2019 Semester2018-12-11T18:04:29Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2018 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
<br />
<br />
= Spring 2019 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 23<br />
'''Wed. Room TBA'''<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.princeton.edu/~yunqingt/ Yunqing Tang (Princeton University)]<br />
| bgcolor="#BCE2FE"| <br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 24<br />
| bgcolor="#F0B0B0" align="center" | Hassan-Mao-Smith--Zhu<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Jan 31<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 7 <br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 14<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 21<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 28<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.tamu.edu/~wltsai/ Wei-Lun Tsai (Texas A&M University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 7<br />
| bgcolor="#F0B0B0" align="center" |[https://sites.google.com/view/masoudzargar/ Masoud Zargar (Regensburg)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 14<br />
| bgcolor="#F0B0B0" align="center" | [http://www.its.caltech.edu/~mantovan/ Elena Mantovan (Caltech)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 21<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 28<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 4<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 11<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~tmcadam/ Taylor McAdam (UCSD)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 18 <br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 2<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 9 <br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
|}<br />
</center><br />
<br />
<br><br />
<br />
*to be confirmed<br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2019_Semester&diff=16557NTS Spring 2019 Semester2018-12-11T18:03:57Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2018 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
<br />
<br />
= Spring 2019 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 23<br />
'''Wed. Room TBA'''<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.princeton.edu/~yunqingt/ Yunqing Tang (Princeton University)]<br />
| bgcolor="#BCE2FE"| <br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 24<br />
| bgcolor="#F0B0B0" align="center" | Hassan-Mao-Smith--Zhu<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Jan 31<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 7 <br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 14<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 21<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 28<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.tamu.edu/~wltsai/ Wei-Lun Tsai (Texas A&M University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 7<br />
| bgcolor="#F0B0B0" align="center" |[https://sites.google.com/view/masoudzargar/ Masoud Zargar]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 14<br />
| bgcolor="#F0B0B0" align="center" | [http://www.its.caltech.edu/~mantovan/ Elena Mantovan (Caltech)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 21<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 28<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 4<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 11<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~tmcadam/ Taylor McAdam (UCSD)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 18 <br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 2<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 9 <br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
|}<br />
</center><br />
<br />
<br><br />
<br />
*to be confirmed<br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2019_Semester&diff=16505NTS Spring 2019 Semester2018-11-30T22:11:32Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2018 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
<br />
<br />
= Spring 2019 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 24<br />
| bgcolor="#F0B0B0" align="center" | Hassan-Mao-Smith--Zhu<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Jan 31<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 7 <br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 14<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 21<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 28<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.tamu.edu/~wltsai/ Wei-Lun Tsai (Texas A&M University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 7<br />
| bgcolor="#F0B0B0" align="center" | Masood Zargar<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 14<br />
| bgcolor="#F0B0B0" align="center" | Elena Mantovan<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 21<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 28<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 4<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 11<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 18 <br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 2<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 9 <br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
|}<br />
</center><br />
<br />
<br><br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2019_Semester&diff=16499NTS Spring 2019 Semester2018-11-30T21:26:15Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2018 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
<br />
<br />
= Spring 2019 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 24<br />
| bgcolor="#F0B0B0" align="center" | Hassan-Mao-Smith--Zhu<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Jan 31<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 7 <br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 14<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 21<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 28<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.tamu.edu/~wltsai/ Wei-Lun Tsai (Texas A&M University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 7<br />
| bgcolor="#F0B0B0" align="center" | Masood Zargar<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 14<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 21<br />
| bgcolor="#F0B0B0" align="center" | Elena Mantovan<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 28<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 4<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 11<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 18 <br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 2<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 9 <br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
|}<br />
</center><br />
<br />
<br><br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebizhttps://wiki.math.wisc.edu/index.php?title=NTS&diff=16498NTS2018-11-30T19:08:41Z<p>Ntalebiz: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*if you are interested in joining the number theory seminar mailing list, go ahead and add yourself at (Join-mathnts at lists dot wisc dot edu).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 graduate-level seminar], which meets on Tuesdays.<br><br />
You can find our Spring 2019 speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Spring_2019_Semester Spring 2019].<br />
<br><br />
You can find our previous speakers in [https://www.math.wisc.edu/wiki/index.php/NTS_Spring_2018_Semester Spring 2018]. <br />
<br />
<br />
<br />
= Fall 2018 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|- <br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Sept 6<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~marshall/ Simon Marshall (UW-Madison)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTFall2018#Sept_6 What I did in my holidays]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Sept 13<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.wisc.edu/~boston/ Nigel Boston (UW-Madison)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTFall2018#Sept_13 2-class towers of cyclic cubic fields]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Sept 20<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.wisc.edu/~ntalebiz/ Naser T. Sardari (UW-Madison)]<br />
| bgcolor="#BCE2FE"|[https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTFall2018#Sept_20 Bounds on the multiplicity of the Hecke eigenvalues ] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Sept 27<br />
| bgcolor="#F0B0B0" align="center" | [https://sites.google.com/view/floriansprung/home Florian Ian Sprung (Arizona State University)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTFall2018#Sept_27 How does the Mordell-Weil rank of an elliptic curve grow in towers of number fields, if you start with a quadratic imaginary field?]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Oct 4<br />
| bgcolor="#F0B0B0" align="center" | [http://math.mit.edu/~rhbell/ Renee Bell (University of Pennsylvania)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTFall2018#Oct_4 Local-to-Global Extensions for Wildly Ramified Covers of Curves]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Oct 11<br />
| bgcolor="#F0B0B0" align="center" | [https://math.mit.edu/~chenwan/ Chen Wan (MIT)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTFall2018#Oct_11 A Local Trace Formula for the Generalized Shalika model]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Oct 18<br />
| bgcolor="#F0B0B0" align="center" | [http://markshus.wixsite.com/math Mark Shusterman (UW-Madison) ]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTFall2018#Oct_18 The fundamental group of a smooth projective curve over a finite field is finitely presented]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Oct 25<br />
| bgcolor="#F0B0B0" align="center" |[http://math.arizona.edu/~ulmer/ Douglas Ulmer (University of Arizona)] <br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTFall2018#Oct_25 An algebraic approach to the Brauer-Siegel ratio for abelian varieties over function fields]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Nov 1<br />
| bgcolor="#F0B0B0" align="center" | [https://sites.google.com/site/renjinbomath/home Jinbo Ren (University of Virginia)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTFall2018#Nov_1 Mathematical logic and its applications in number theory]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Nov 8<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucla.edu/~nandersen/ Nick Andersen (UCLA)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTFall2018#Nov_8 Modular invariants for real quadratic fields]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Nov 15<br />
| bgcolor="#F0B0B0" align="center" | [https://khayutin.github.io/ Ilya Khayutin (Princeton University)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTFall2018#Nov_15 Equidistribution of Special Points on Shimura Varieties]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Nov 22<br />
| bgcolor="#F0B0B0" align="center" | Thanksgiving <br />
| bgcolor="#BCE2FE"|<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Nov 29<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.upenn.edu/~vkarem/ Valentijn Karemaker (University of Pennsylvania)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTFall2018#Nov_29 Comparing obstructions to local-global principles for rational points over semiglobal fields] <br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Dec 6<br />
| bgcolor="#F0B0B0" align="center" | [https://web.math.princeton.edu/~dkriz/ Daniel Kriz (MIT)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTFall2018#Dec_6 A new p-adic Maass-Shimura operator and supersingular Rankin-Selberg p-adic L-functions]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Dec 13<br />
| bgcolor="#F0B0B0" align="center" | [https://faculty.franklin.uga.edu/bakker/ Benjamin Bakker (University of Georgia)]<br />
| bgcolor="#BCE2FE"|<br />
|-<br />
|}<br />
</center><br />
<br />
<br><br />
<br />
*to be confirmed<br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Ntalebiz