https://wiki.math.wisc.edu/api.php?action=feedcontributions&user=Rharron&feedformat=atomUW-Math Wiki - User contributions [en]2024-03-19T10:48:33ZUser contributionsMediaWiki 1.39.5https://wiki.math.wisc.edu/index.php?title=NTSGrad_Spring_2014&diff=6954NTSGrad Spring 20142014-05-06T01:37:28Z<p>Rharron: /* Spring 2014 Semester */</p>
<hr />
<div>= Number Theory – Representation Theory Graduate Student Seminar, University of Wisconsin–Madison =<br />
<br />
*'''When:''' Tuesdays, 2:30pm–3:30pm<br />
*'''Where:''' Van Vleck B131<br />
<br />
The purpose of this seminar is to have a talk on each Tuesday by a graduate student to<br />
help orient ourselves for the [[NTS|Number Theory Seminar]] talk on the following Thursday.<br />
These talks should be aimed at beginning graduate students, and should try to <br />
explain some of the background, terminology, and ideas for the Thursday talk. <br />
<br />
== Spring 2014 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 11 (Tues.)<br />
| bgcolor="#F0B0B0"| Silas Johnson<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 18 (Tues.)<br />
| bgcolor="#F0B0B0"| Andrew Bridy<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 25 (Tues.)<br />
| bgcolor="#F0B0B0"| Daniel Hast<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 4 (Tues.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>--</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 11 (Tues.)<br />
| bgcolor="#F0B0B0"| Yueke Hu<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts#March 11 | <font color="black"><em>Local integrals of triple product L-function and subconvexity bound</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 18 (Tues.)<br />
| bgcolor="#F0B0B0"| Spring break!<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>Spring break</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 25 (Tues.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>--</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 1 (Tues.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>--</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 8 (Tues.)<br />
| bgcolor="#F0B0B0"| Daniel Ross<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 15 (Tues.)<br />
| bgcolor="#F0B0B0"| Ryan Julian<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 22 (Tues.)<br />
| bgcolor="#F0B0B0"| Yihe Dong<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 29 (Tues.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>--</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 6 (Tues.)<br />
| bgcolor="#F0B0B0"| Megan Maguire<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
== Organizers ==<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
The Fall 2013 NTS Grad page can be found [[NTSGrad Fall 2013|here]].<br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2014/Abstracts&diff=6899NTS Spring 2014/Abstracts2014-04-16T20:45:17Z<p>Rharron: </p>
<hr />
<div>== January 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%" | '''Majid Hadian-Jazi''' (UIC)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: On a motivic method in Diophantine geometry<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: By studying the variation of motivic path torsors associated to a variety, we show how certain nondensity assertions in Diophantine geometry can be translated to problems concerning K-groups. Then we use some vanishing theorems to obtain concrete results.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== January 30 ==<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%" | '''Alexander Fish''' (University of Sydney, Australia)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Ergodic Plunnecke inequalities with applications to sumsets of infinite sets in countable abelian groups<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: By use of recent ideas of Petridis, we extend Plunnecke inequalities for sumsets of finite sets in abelian groups to the setting of measure-preserving systems. The main difference in the new setting is that instead of a finite set of translates we have an analogous inequality for a countable set of translates. As an application, by use of Furstenberg correspondence principle, we obtain new Plunnecke type inequalities for lower and upper Banach density in countable abelian groups. Joint work with Michael Bjorklund, Chalmers. <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== February 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%" | '''John Voight''' (Dartmouth)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Numerical calculation of three-point branched covers of the projective line<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: We exhibit a numerical method to compute three-point branched covers of the complex projective line. We develop algorithms for working explicitly with Fuchsian triangle groups and their finite index subgroups, and we use these algorithms to compute power series expansions of modular forms on these groups. This is joint work with Michael Klug, Michael Musty, and Sam Schiavone.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== February 20 ==<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%" | '''Nir Avni''' (Northwestern)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Representation zeta functions<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will talk about connections between the following:<br />
1) Asymptotic representation theory of an arithmetic lattice ''G''('''Z'''). More precisely, the question of how many ''n''-dimensional representations does ''G''('''Z''') have.<br />
2) The distribution of a random commutator in the ''p''-adic analytic group ''G''('''Z'''<sub>''p''</sub>).<br />
3) The complex geometry of the moduli spaces of ''G''-local systems on a Riemann surface, and, more precisely, the structure of its singularities.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== February 27 ==<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%" | '''Jennifer Park''' (MIT)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Effective Chabauty for symmetric power of curves<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: While we know by Faltings' theorem that curves of genus at least 2 have finitely many rational points, his theorem is not effective. In 1985, Coleman showed that Chabauty's method, which works when the Mordell-Weil rank of the Jacobian of the curve is small, can be used to give a good effective bound on the number of rational points of curves of genus g > 1. In this talk, we draw ideas from tropical geometry to show that we can also give an effective bound on the number of rational points of Sym^d(X) that are not parametrized by a projective space or a coset of an abelian variety, where X is a curve of genus g > d, when the Mordell-Weil rank of the Jacobian of the curve is at most g-d. <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== March 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%" | '''Yueke Hu''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Local integrals of triple product ''L''-function and subconvexity bound<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Venkatesh proposed a strategy to prove the subconvexity bound in the level aspect for triple product ''L''-function. With the integral representation of triple product ''L''-function, if one can get an upper bound for the global integral and a lower bound for the local integrals, then one can get an upper bound for the ''L''-function, which turns out to be a subconvexity bound. Such a subconvexity bound was obtained essentially for representations of square free level. I will talk about how to generalize this result to the case with higher ramifications as well as joint ramifications.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== April 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%" | '''Kartik Prasanna''' (Michigan)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Algebraic cycles and Rankin-Selberg L-functions<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will give a survey of a circle of results relating L-functions and algebraic cycles, starting with the Gross-Zagier formula and its various generalizations. This will lead naturally to a certain case of the Bloch-Beilinson conjecture which is closely related to Gross-Zagier but where one does not have a construction of the expected cycles. Finally, I will hint at a plausible construction of cycles in this "missing" case, which is joint work with A. Ichino, and explain what one can likely prove about them.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== April 17 ==<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%" | '''Davide Reduzzi''' (Chicago)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Galois representations and torsion in the coherent cohomology of<br />
Hilbert modular varieties<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Let ''F'' be a totally real number field, ''p'' a prime number<br />
(unramified in ''F''), and ''M'' the Hilbert modular variety for ''F'' of some level<br />
prime to ''p'', and defined over a finite field of characteristic ''p''. I will<br />
explain how exploiting the geometry of ''M'', and in particular the<br />
stratification induced by the partial Hasse invariants, one can attach<br />
Galois representations to Hecke eigen-classes occurring in the coherent<br />
cohomology of ''M''. This is a joint work with Matthew Emerton and Liang Xiao.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== April 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%" | '''Arul Shankar''' (Harvard)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The average 5-Selmer rank of elliptic curves<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: We use geometry-of-numbers techniques to show that the average size of the 5-Selmer group of<br />
elliptic curves is equal to 6. From this, we deduce an upper bound on the average rank of elliptic curves.<br />
Then, by constructing families of elliptic curves with equidistributed root number we show that the average rank is<br />
less than 1. This is joint work with Manjul Bhargava.<br />
|} <br />
</center><br />
<br />
<br><br />
<!--<br />
== October 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%" | '''Andrew Bridy''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The Artin–Mazur zeta function of a Lattes map in positive characteristic<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: The Artin–Mazur zeta function of a dynamical system is a generating function that captures information about its periodic points. In characteristic zero, the zeta function of a rational map from '''P'''<sup>1</sup> to '''P'''<sup>1</sup> is known to always be a rational function. In positive characteristic, the situation is much less clear. Lattes maps are rational maps on '''P'''<sup>1</sup> that are finite quotients of endomorphisms of elliptic curves, and they have many interesting dynamical properties related to the geometry and arithmetic of elliptic curves. I show that the zeta function of a separable Lattes map in positive characteristic is a transcendental function.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Bogdan Petrenko''' (Eastern Illinois University)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Generating an algebra from the probabilistic standpoint<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Let ''A'' be a ring whose additive group is free Abelian of finite<br />
rank. The topic of this talk is the following question: what is the<br />
probability that several random elements of ''A'' generate it as a ring? After<br />
making this question precise, I will show that it has an interesting<br />
answer which can be interpreted as a local-global principle. Some<br />
applications will be discussed. This talk will be based on my joint work<br />
with Rostyslav Kravchenko (University of Chicago) and Marcin Mazur<br />
(Binghamton University).<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 17 ==<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%" | '''Anthony Várilly-Alvarado''' (Rice)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Arithmetic of del Pezzo surfaces of degree 4 and vertical Brauer groups<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Del Pezzo surfaces X of degree 4 are smooth (complete) intersections of two quadrics in four-dimensional projective space. They are some of the simplest surfaces for which there can be cohomological obstructions to the existence of rational points, mediated by the Brauer group Br X of the surface. I will explain how to construct, for every non-trivial, non-constant element A of Br X, a rational genus-one fibration X -> P^1 such that A is "vertical" for this map. This implies, for example, that if there is a cohomological obstruction to the existence of a point on X, then there is a genus-one fibration X -> P^1 where none of the fibers are locally soluble, giving a concrete, geometric way of "seeing" a Brauer-Manin obstruction. The construction also gives a fast, practical algorithm for computing the Brauer group of X. Conjecturally, this gives a mechanical way of testing for the existence of rational points on these surfaces. This is joint work with Bianca Viray.<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Paul Garrett''' (Minnesota)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Spectra of pseudo-Laplacians on spaces of automorphic forms<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Faddeev–Pavlov and Lax–Phillips observed that certain<br />
restrictions of the Laplacian to parts of automorphic continuous<br />
spectrum have discrete spectrum. Colin de Verdiere used this to prove<br />
meromorphic continuation of Eisenstein series, and proposed ways to<br />
exploit this idea to construct self-adjoint operators with spectra<br />
related to zeros of ''L''-functions. We show that simple forms of this<br />
construction produce at most very sparse spectra, due to<br />
incompatibility with pair correlations for zeros. Ways around some of<br />
the obstacles are sketched. (Joint with E. Bombieri.)<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Jerry Wang''' (Princeton)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Pencils of quadrics and the arithmetic of hyperelliptic curves<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: In recent joint works with Manjul Bhargava and Benedict Gross, we showed that a positive proportion of hyperelliptic curves over '''Q''' of genus ''g'' have no points over any odd degree extension of '''Q'''. This is done by computing certain 2-Selmer averages and applying a result of Dokchitser–Dokchitser on the parity of the rank of the 2-Selmer groups in biquadratic twists. In this talk, we will see how arithmetic invariant theory and the geometric theory of pencils of quadrics are used to obtain the 2-Selmer averages.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 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%" | '''who?''' (where?)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 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%" | '''Evan Dummit''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Counting extensions of number fields of given degree, bounded (rho)-discriminant, and specified Galois closure<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: A very basic question in algebraic number theory is: how many number fields are there? A natural way to order the fields of a fixed degree n is by discriminant, and classical results of Minkowski then assure us that there are only finitely many fields with a given discriminant. We are also often interested in counting number fields, or relative extensions, with other properties, such as having a particular Galois closure. A folk conjecture sometimes attributed to Linnik states that the number of extensions of degree n and absolute discriminant less than X is on the order of X. A great deal of recent and ongoing work has been focused towards achieving upper bounds on counts of this nature (quite successfully, in degree 5 and lower), but there is comparatively little known in higher degrees, for relative extensions, or for sufficiently complicated Galois closures: the primary results are those of Schmidt and Ellenberg-Venkatesh. I will discuss these results and my thesis work, in which I generalize several of their results and introduce another counting metric, the "rho-discriminant". <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 21 ==<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 Lipnowski''' (Duke)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" |<br />
Abstract: tba<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 26 ==<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%" | '''Daniel Kane''' (Stanford)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Diffuse decompositions of polynomials<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: We study some problems relating to polynomials evaluated<br />
either at random Gaussian or random Bernoulli inputs. We present some<br />
new work on a structure theorem for degree-''d'' polynomials with Gaussian<br />
inputs. In particular, if ''p'' is a given degree-''d'' polynomial, then ''p''<br />
can be written in terms of some bounded number of other polynomials<br />
''q''<sub>1</sub>, ..., ''q''<sub>''m''</sub> so that the joint probability density function of<br />
''q''<sub>1</sub>(''G''), ..., ''q''<sub>''m''</sub>(''G'') is close to being bounded. This says essentially<br />
that any abnormalities in the distribution of ''p''(''G'') can be explained by<br />
the way in which ''p'' decomposes into the ''q''<sub>''i''</sub>. We then present some<br />
applications of this result. <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== December 5 ==<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%" | '''Jennifer Park''' (MIT)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== December 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%" | '''Vivek Shende''' (Berkeley)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Equidistribution on the space of rank two vector bundles over the projective line<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will discuss how the algebraic geometry of hyperelliptic curves gives an approach to a function field analogue of the 'mixing conjecture' of Michel and Venkatesh. (For a rather longer abstract, see the [http://arxiv.org/abs/1307.8237 arxiv posting] of the same name as the talk). This talk presents joint work with Jacob Tsimerman. <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
--><br />
<br />
== Organizer contact information ==<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2014&diff=6898NTS Spring 20142014-04-16T20:43:33Z<p>Rharron: /* Spring 2014 Semester */</p>
<hr />
<div>= Number Theory – Representation Theory Seminar, University of Wisconsin–Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30pm–3:30pm.<br />
*'''Where:''' Van Vleck B131<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 />
= Spring 2014 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| Jan 23 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://homepages.math.uic.edu/~hadian/ Majid Hadian-Jazi] <br> (University of Illinois at Chicago)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#January 23 | <font color="black"><em>On a motivic method in Diophantine geometry</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Jan 30 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.maths.usyd.edu.au/u/afish/ Alexander Fish] <br> (University of Sydney, Australia)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#January 30 | <font color="black"><em>Ergodic Plunnecke inequalities with applications to sumsets of infinite sets in countable abelian groups</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 6 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 6 | <font color="black"><em>---</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 13 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.dartmouth.edu/~jvoight/ John Voight]<br> (Dartmouth)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 13 | <font color="black"><em>Numerical calculation of three-point branched covers of the projective line</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 20 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.northwestern.edu/~nir/ Nir Avni] <br> (Northwestern)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 20 | <font color="black"><em>Representation zeta functions</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 27 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.mit.edu/~jmypark/ Jennifer Park] <br> (MIT)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 27 | <font color="black"><em>Effective Chabauty for symmetric power of curves</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 6 (Thurs.)<br />
| bgcolor="#F0B0B0"| Perfectoid talkoid<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 6 | <font color="black"><em>(First half of adic spaces talk)</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 13 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 13 | <font color="black"><em>--</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 20 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk <br> Spring break!<br />
| bgcolor="#BCE2FE"| <font color="black"><em>Spring break!</em></font><br />
|- <br />
| bgcolor="#E0E0E0"| Mar 27 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 27 | <font color="black"><em>--</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 3 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 3 | <font color="black"><em>--</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 10 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.lsa.umich.edu/~kartikp/ Kartik Prasanna]<br> (Michigan)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 10 | <font color="black"><em>Algebraic cycles and Rankin-Selberg L-functions</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 17 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.uchicago.edu/~reduzzi/ Davide Reduzzi] <br> (Chicago)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 17 | <font color="black"><em>Galois representations and torsion in the coherent cohomology of<br />
Hilbert modular varieties</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 24 (Thurs.)<br />
| bgcolor="#F0B0B0"| Arul Shankar <br> (Harvard)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 24 | <font color="black"><em>The average 5-Selmer rank of elliptic curves</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 1 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#May 1 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 8 (Thurs.)<br />
| bgcolor="#F0B0B0"| ''Reserved'' <!--<br> (where?)--><br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#May 8 | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Also of interest is the [[NTSGrad|Grad student seminar]] which meets on Tuesdays.<br><br />
Last semester's seminar page is [[NTS Fall 2013|here]].<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTSGrad_Spring_2014&diff=6824NTSGrad Spring 20142014-04-01T16:14:50Z<p>Rharron: /* Spring 2014 Semester */</p>
<hr />
<div>= Number Theory – Representation Theory Graduate Student Seminar, University of Wisconsin–Madison =<br />
<br />
*'''When:''' Tuesdays, 2:30pm–3:30pm<br />
*'''Where:''' Van Vleck B131<br />
<br />
The purpose of this seminar is to have a talk on each Tuesday by a graduate student to<br />
help orient ourselves for the [[NTS|Number Theory Seminar]] talk on the following Thursday.<br />
These talks should be aimed at beginning graduate students, and should try to <br />
explain some of the background, terminology, and ideas for the Thursday talk. <br />
<br />
== Spring 2014 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 11 (Tues.)<br />
| bgcolor="#F0B0B0"| Silas Johnson<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 18 (Tues.)<br />
| bgcolor="#F0B0B0"| Andrew Bridy<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 25 (Tues.)<br />
| bgcolor="#F0B0B0"| Daniel Hast<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 4 (Tues.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>--</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 11 (Tues.)<br />
| bgcolor="#F0B0B0"| Yueke Hu<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts#March 11 | <font color="black"><em>Local integrals of triple product L-function and subconvexity bound</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 18 (Tues.)<br />
| bgcolor="#F0B0B0"| Spring break!<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>Spring break</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 25 (Tues.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>--</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 1 (Tues.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>--</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 8 (Tues.)<br />
| bgcolor="#F0B0B0"| Daniel Ross<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 15 (Tues.)<br />
| bgcolor="#F0B0B0"| Ryan Julian<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 22 (Tues.)<br />
| bgcolor="#F0B0B0"| Yihe Dong<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 29 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 6 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
== Organizers ==<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
The Fall 2013 NTS Grad page can be found [[NTSGrad Fall 2013|here]].<br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2014/Abstracts&diff=6823NTS Spring 2014/Abstracts2014-04-01T16:12:25Z<p>Rharron: </p>
<hr />
<div>== January 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%" | '''Majid Hadian-Jazi''' (UIC)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: On a motivic method in Diophantine geometry<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: By studying the variation of motivic path torsors associated to a variety, we show how certain nondensity assertions in Diophantine geometry can be translated to problems concerning K-groups. Then we use some vanishing theorems to obtain concrete results.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== January 30 ==<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%" | '''Alexander Fish''' (University of Sydney, Australia)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Ergodic Plunnecke inequalities with applications to sumsets of infinite sets in countable abelian groups<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: By use of recent ideas of Petridis, we extend Plunnecke inequalities for sumsets of finite sets in abelian groups to the setting of measure-preserving systems. The main difference in the new setting is that instead of a finite set of translates we have an analogous inequality for a countable set of translates. As an application, by use of Furstenberg correspondence principle, we obtain new Plunnecke type inequalities for lower and upper Banach density in countable abelian groups. Joint work with Michael Bjorklund, Chalmers. <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== February 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%" | '''John Voight''' (Dartmouth)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Numerical calculation of three-point branched covers of the projective line<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: We exhibit a numerical method to compute three-point branched covers of the complex projective line. We develop algorithms for working explicitly with Fuchsian triangle groups and their finite index subgroups, and we use these algorithms to compute power series expansions of modular forms on these groups. This is joint work with Michael Klug, Michael Musty, and Sam Schiavone.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== February 20 ==<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%" | '''Nir Avni''' (Northwestern)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Representation zeta functions<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will talk about connections between the following:<br />
1) Asymptotic representation theory of an arithmetic lattice ''G''('''Z'''). More precisely, the question of how many ''n''-dimensional representations does ''G''('''Z''') have.<br />
2) The distribution of a random commutator in the ''p''-adic analytic group ''G''('''Z'''<sub>''p''</sub>).<br />
3) The complex geometry of the moduli spaces of ''G''-local systems on a Riemann surface, and, more precisely, the structure of its singularities.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== February 27 ==<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%" | '''Jennifer Park''' (MIT)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Effective Chabauty for symmetric power of curves<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: While we know by Faltings' theorem that curves of genus at least 2 have finitely many rational points, his theorem is not effective. In 1985, Coleman showed that Chabauty's method, which works when the Mordell-Weil rank of the Jacobian of the curve is small, can be used to give a good effective bound on the number of rational points of curves of genus g > 1. In this talk, we draw ideas from tropical geometry to show that we can also give an effective bound on the number of rational points of Sym^d(X) that are not parametrized by a projective space or a coset of an abelian variety, where X is a curve of genus g > d, when the Mordell-Weil rank of the Jacobian of the curve is at most g-d. <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== March 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%" | '''Yueke Hu''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Local integrals of triple product ''L''-function and subconvexity bound<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Venkatesh proposed a strategy to prove the subconvexity bound in the level aspect for triple product ''L''-function. With the integral representation of triple product ''L''-function, if one can get an upper bound for the global integral and a lower bound for the local integrals, then one can get an upper bound for the ''L''-function, which turns out to be a subconvexity bound. Such a subconvexity bound was obtained essentially for representations of square free level. I will talk about how to generalize this result to the case with higher ramifications as well as joint ramifications.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== April 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%" | '''Kartik Prasanna''' (Michigan)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== April 17 ==<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%" | '''Davide Reduzzi''' (Chicago)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Galois representations and torsion in the coherent cohomology of<br />
Hilbert modular varieties<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Let ''F'' be a totally real number field, ''p'' a prime number<br />
(unramified in ''F''), and ''M'' the Hilbert modular variety for ''F'' of some level<br />
prime to ''p'', and defined over a finite field of characteristic ''p''. I will<br />
explain how exploiting the geometry of ''M'', and in particular the<br />
stratification induced by the partial Hasse invariants, one can attach<br />
Galois representations to Hecke eigen-classes occurring in the coherent<br />
cohomology of ''M''. This is a joint work with Matthew Emerton and Liang Xiao.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
<!--<br />
== September 26 ==<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%" | '''Haluk Şengün''' (Warwick/ICERM)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Torsion homology of Bianchi groups and arithmetic<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Bianchi groups are groups of the form ''SL''(2,&nbsp;''R'') where ''R'' is the ring of integers of an imaginary quadratic field. They form an important class of arithmetic Kleinian groups and moreover they hold a key role for the development of the Langlands program for ''GL''(2) beyond totally real fields.<br />
<br />
In this talk, I will discuss several interesting questions related to the torsion in the homology of Bianchi groups. I will especially focus on the recent results on the asymptotic behavior of the size of torsion, and the reciprocity and functoriality (in the sense of the Langlands program) aspects of the torsion. Joint work with N.&nbsp;Bergeron and A.&nbsp;Venkatesh on the cycle complexity of arithmetic manifolds will be discussed at the end.<br />
<br />
The discussion will be illustrated with many numerical examples.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Andrew Bridy''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The Artin–Mazur zeta function of a Lattes map in positive characteristic<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: The Artin–Mazur zeta function of a dynamical system is a generating function that captures information about its periodic points. In characteristic zero, the zeta function of a rational map from '''P'''<sup>1</sup> to '''P'''<sup>1</sup> is known to always be a rational function. In positive characteristic, the situation is much less clear. Lattes maps are rational maps on '''P'''<sup>1</sup> that are finite quotients of endomorphisms of elliptic curves, and they have many interesting dynamical properties related to the geometry and arithmetic of elliptic curves. I show that the zeta function of a separable Lattes map in positive characteristic is a transcendental function.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Bogdan Petrenko''' (Eastern Illinois University)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Generating an algebra from the probabilistic standpoint<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Let ''A'' be a ring whose additive group is free Abelian of finite<br />
rank. The topic of this talk is the following question: what is the<br />
probability that several random elements of ''A'' generate it as a ring? After<br />
making this question precise, I will show that it has an interesting<br />
answer which can be interpreted as a local-global principle. Some<br />
applications will be discussed. This talk will be based on my joint work<br />
with Rostyslav Kravchenko (University of Chicago) and Marcin Mazur<br />
(Binghamton University).<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 17 ==<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%" | '''Anthony Várilly-Alvarado''' (Rice)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Arithmetic of del Pezzo surfaces of degree 4 and vertical Brauer groups<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Del Pezzo surfaces X of degree 4 are smooth (complete) intersections of two quadrics in four-dimensional projective space. They are some of the simplest surfaces for which there can be cohomological obstructions to the existence of rational points, mediated by the Brauer group Br X of the surface. I will explain how to construct, for every non-trivial, non-constant element A of Br X, a rational genus-one fibration X -> P^1 such that A is "vertical" for this map. This implies, for example, that if there is a cohomological obstruction to the existence of a point on X, then there is a genus-one fibration X -> P^1 where none of the fibers are locally soluble, giving a concrete, geometric way of "seeing" a Brauer-Manin obstruction. The construction also gives a fast, practical algorithm for computing the Brauer group of X. Conjecturally, this gives a mechanical way of testing for the existence of rational points on these surfaces. This is joint work with Bianca Viray.<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Paul Garrett''' (Minnesota)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Spectra of pseudo-Laplacians on spaces of automorphic forms<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Faddeev–Pavlov and Lax–Phillips observed that certain<br />
restrictions of the Laplacian to parts of automorphic continuous<br />
spectrum have discrete spectrum. Colin de Verdiere used this to prove<br />
meromorphic continuation of Eisenstein series, and proposed ways to<br />
exploit this idea to construct self-adjoint operators with spectra<br />
related to zeros of ''L''-functions. We show that simple forms of this<br />
construction produce at most very sparse spectra, due to<br />
incompatibility with pair correlations for zeros. Ways around some of<br />
the obstacles are sketched. (Joint with E. Bombieri.)<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Jerry Wang''' (Princeton)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Pencils of quadrics and the arithmetic of hyperelliptic curves<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: In recent joint works with Manjul Bhargava and Benedict Gross, we showed that a positive proportion of hyperelliptic curves over '''Q''' of genus ''g'' have no points over any odd degree extension of '''Q'''. This is done by computing certain 2-Selmer averages and applying a result of Dokchitser–Dokchitser on the parity of the rank of the 2-Selmer groups in biquadratic twists. In this talk, we will see how arithmetic invariant theory and the geometric theory of pencils of quadrics are used to obtain the 2-Selmer averages.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 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%" | '''who?''' (where?)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 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%" | '''Evan Dummit''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Counting extensions of number fields of given degree, bounded (rho)-discriminant, and specified Galois closure<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: A very basic question in algebraic number theory is: how many number fields are there? A natural way to order the fields of a fixed degree n is by discriminant, and classical results of Minkowski then assure us that there are only finitely many fields with a given discriminant. We are also often interested in counting number fields, or relative extensions, with other properties, such as having a particular Galois closure. A folk conjecture sometimes attributed to Linnik states that the number of extensions of degree n and absolute discriminant less than X is on the order of X. A great deal of recent and ongoing work has been focused towards achieving upper bounds on counts of this nature (quite successfully, in degree 5 and lower), but there is comparatively little known in higher degrees, for relative extensions, or for sufficiently complicated Galois closures: the primary results are those of Schmidt and Ellenberg-Venkatesh. I will discuss these results and my thesis work, in which I generalize several of their results and introduce another counting metric, the "rho-discriminant". <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 21 ==<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 Lipnowski''' (Duke)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" |<br />
Abstract: tba<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 26 ==<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%" | '''Daniel Kane''' (Stanford)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Diffuse decompositions of polynomials<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: We study some problems relating to polynomials evaluated<br />
either at random Gaussian or random Bernoulli inputs. We present some<br />
new work on a structure theorem for degree-''d'' polynomials with Gaussian<br />
inputs. In particular, if ''p'' is a given degree-''d'' polynomial, then ''p''<br />
can be written in terms of some bounded number of other polynomials<br />
''q''<sub>1</sub>, ..., ''q''<sub>''m''</sub> so that the joint probability density function of<br />
''q''<sub>1</sub>(''G''), ..., ''q''<sub>''m''</sub>(''G'') is close to being bounded. This says essentially<br />
that any abnormalities in the distribution of ''p''(''G'') can be explained by<br />
the way in which ''p'' decomposes into the ''q''<sub>''i''</sub>. We then present some<br />
applications of this result. <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== December 5 ==<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%" | '''Jennifer Park''' (MIT)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== December 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%" | '''Vivek Shende''' (Berkeley)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Equidistribution on the space of rank two vector bundles over the projective line<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will discuss how the algebraic geometry of hyperelliptic curves gives an approach to a function field analogue of the 'mixing conjecture' of Michel and Venkatesh. (For a rather longer abstract, see the [http://arxiv.org/abs/1307.8237 arxiv posting] of the same name as the talk). This talk presents joint work with Jacob Tsimerman. <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
--><br />
<br />
== Organizer contact information ==<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2014&diff=6822NTS Spring 20142014-04-01T16:10:03Z<p>Rharron: /* Spring 2014 Semester */ add title for Davide</p>
<hr />
<div>= Number Theory – Representation Theory Seminar, University of Wisconsin–Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30pm–3:30pm.<br />
*'''Where:''' Van Vleck B131<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 />
= Spring 2014 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| Jan 23 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://homepages.math.uic.edu/~hadian/ Majid Hadian-Jazi] <br> (University of Illinois at Chicago)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#January 23 | <font color="black"><em>On a motivic method in Diophantine geometry</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Jan 30 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.maths.usyd.edu.au/u/afish/ Alexander Fish] <br> (University of Sydney, Australia)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#January 30 | <font color="black"><em>Ergodic Plunnecke inequalities with applications to sumsets of infinite sets in countable abelian groups</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 6 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 6 | <font color="black"><em>---</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 13 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.dartmouth.edu/~jvoight/ John Voight]<br> (Dartmouth)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 13 | <font color="black"><em>Numerical calculation of three-point branched covers of the projective line</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 20 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.northwestern.edu/~nir/ Nir Avni] <br> (Northwestern)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 20 | <font color="black"><em>Representation zeta functions</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 27 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.mit.edu/~jmypark/ Jennifer Park] <br> (MIT)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 27 | <font color="black"><em>Effective Chabauty for symmetric power of curves</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 6 (Thurs.)<br />
| bgcolor="#F0B0B0"| Perfectoid talkoid<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 6 | <font color="black"><em>(First half of adic spaces talk)</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 13 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 13 | <font color="black"><em>--</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 20 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk <br> Spring break!<br />
| bgcolor="#BCE2FE"| <font color="black"><em>Spring break!</em></font><br />
|- <br />
| bgcolor="#E0E0E0"| Mar 27 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 27 | <font color="black"><em>--</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 3 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 3 | <font color="black"><em>--</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 10 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.lsa.umich.edu/~kartikp/ Kartik Prasanna]<br> (Michigan)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 10 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 17 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.uchicago.edu/~reduzzi/ Davide Reduzzi] <br> (Chicago)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 17 | <font color="black"><em>Galois representations and torsion in the coherent cohomology of<br />
Hilbert modular varieties</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 24 (Thurs.)<br />
| bgcolor="#F0B0B0"| Arul Shankar <br> (Harvard)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 24 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 1 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#May 1 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 8 (Thurs.)<br />
| bgcolor="#F0B0B0"| ''Reserved'' <!--<br> (where?)--><br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#May 8 | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Also of interest is the [[NTSGrad|Grad student seminar]] which meets on Tuesdays.<br><br />
Last semester's seminar page is [[NTS Fall 2013|here]].<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2014&diff=6821NTS Spring 20142014-04-01T16:08:50Z<p>Rharron: /* Spring 2014 Semester */</p>
<hr />
<div>= Number Theory – Representation Theory Seminar, University of Wisconsin–Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30pm–3:30pm.<br />
*'''Where:''' Van Vleck B131<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 />
= Spring 2014 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| Jan 23 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://homepages.math.uic.edu/~hadian/ Majid Hadian-Jazi] <br> (University of Illinois at Chicago)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#January 23 | <font color="black"><em>On a motivic method in Diophantine geometry</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Jan 30 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.maths.usyd.edu.au/u/afish/ Alexander Fish] <br> (University of Sydney, Australia)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#January 30 | <font color="black"><em>Ergodic Plunnecke inequalities with applications to sumsets of infinite sets in countable abelian groups</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 6 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 6 | <font color="black"><em>---</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 13 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.dartmouth.edu/~jvoight/ John Voight]<br> (Dartmouth)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 13 | <font color="black"><em>Numerical calculation of three-point branched covers of the projective line</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 20 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.northwestern.edu/~nir/ Nir Avni] <br> (Northwestern)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 20 | <font color="black"><em>Representation zeta functions</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 27 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.mit.edu/~jmypark/ Jennifer Park] <br> (MIT)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 27 | <font color="black"><em>Effective Chabauty for symmetric power of curves</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 6 (Thurs.)<br />
| bgcolor="#F0B0B0"| Perfectoid talkoid<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 6 | <font color="black"><em>(First half of adic spaces talk)</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 13 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 13 | <font color="black"><em>--</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 20 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk <br> Spring break!<br />
| bgcolor="#BCE2FE"| <font color="black"><em>Spring break!</em></font><br />
|- <br />
| bgcolor="#E0E0E0"| Mar 27 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 27 | <font color="black"><em>--</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 3 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 3 | <font color="black"><em>--</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 10 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.lsa.umich.edu/~kartikp/ Kartik Prasanna]<br> (Michigan)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 10 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 17 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.uchicago.edu/~reduzzi/ Davide Reduzzi] <br> (Chicago)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 17 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 24 (Thurs.)<br />
| bgcolor="#F0B0B0"| Arul Shankar <br> (Harvard)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 24 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 1 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#May 1 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 8 (Thurs.)<br />
| bgcolor="#F0B0B0"| ''Reserved'' <!--<br> (where?)--><br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#May 8 | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Also of interest is the [[NTSGrad|Grad student seminar]] which meets on Tuesdays.<br><br />
Last semester's seminar page is [[NTS Fall 2013|here]].<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTSGrad_Spring_2014&diff=6817NTSGrad Spring 20142014-03-29T03:39:53Z<p>Rharron: /* Spring 2014 Semester */</p>
<hr />
<div>= Number Theory – Representation Theory Graduate Student Seminar, University of Wisconsin–Madison =<br />
<br />
*'''When:''' Tuesdays, 2:30pm–3:30pm<br />
*'''Where:''' Van Vleck B131<br />
<br />
The purpose of this seminar is to have a talk on each Tuesday by a graduate student to<br />
help orient ourselves for the [[NTS|Number Theory Seminar]] talk on the following Thursday.<br />
These talks should be aimed at beginning graduate students, and should try to <br />
explain some of the background, terminology, and ideas for the Thursday talk. <br />
<br />
== Spring 2014 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 11 (Tues.)<br />
| bgcolor="#F0B0B0"| Silas Johnson<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 18 (Tues.)<br />
| bgcolor="#F0B0B0"| Andrew Bridy<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 25 (Tues.)<br />
| bgcolor="#F0B0B0"| Daniel Hast<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 4 (Tues.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>--</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 11 (Tues.)<br />
| bgcolor="#F0B0B0"| Yueke Hu<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts#March 11 | <font color="black"><em>Local integrals of triple product L-function and subconvexity bound</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 18 (Tues.)<br />
| bgcolor="#F0B0B0"| Spring break!<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>Spring break</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 25 (Tues.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>--</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 1 (Tues.)<br />
| bgcolor="#F0B0B0"| Evan Dummit<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 8 (Tues.)<br />
| bgcolor="#F0B0B0"| Daniel Ross<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 15 (Tues.)<br />
| bgcolor="#F0B0B0"| ''Reserved''<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 22 (Tues.)<br />
| bgcolor="#F0B0B0"| Yihe Dong<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 29 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 6 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
== Organizers ==<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
The Fall 2013 NTS Grad page can be found [[NTSGrad Fall 2013|here]].<br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTSGrad_Spring_2014&diff=6816NTSGrad Spring 20142014-03-29T03:35:09Z<p>Rharron: /* Spring 2014 Semester */</p>
<hr />
<div>= Number Theory – Representation Theory Graduate Student Seminar, University of Wisconsin–Madison =<br />
<br />
*'''When:''' Tuesdays, 2:30pm–3:30pm<br />
*'''Where:''' Van Vleck B131<br />
<br />
The purpose of this seminar is to have a talk on each Tuesday by a graduate student to<br />
help orient ourselves for the [[NTS|Number Theory Seminar]] talk on the following Thursday.<br />
These talks should be aimed at beginning graduate students, and should try to <br />
explain some of the background, terminology, and ideas for the Thursday talk. <br />
<br />
== Spring 2014 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 11 (Tues.)<br />
| bgcolor="#F0B0B0"| Silas Johnson<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 18 (Tues.)<br />
| bgcolor="#F0B0B0"| Andrew Bridy<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 25 (Tues.)<br />
| bgcolor="#F0B0B0"| Daniel Hast<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 4 (Tues.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>--</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 11 (Tues.)<br />
| bgcolor="#F0B0B0"| Yueke Hu<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts#March 11 | <font color="black"><em>Local integrals of triple product L-function and subconvexity bound</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 18 (Tues.)<br />
| bgcolor="#F0B0B0"| Spring break!<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>Spring break</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 25 (Tues.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>--</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 1 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 8 (Tues.)<br />
| bgcolor="#F0B0B0"| Daniel Ross<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 15 (Tues.)<br />
| bgcolor="#F0B0B0"| ''Reserved''<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 22 (Tues.)<br />
| bgcolor="#F0B0B0"| Yihe Dong<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 29 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 6 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
== Organizers ==<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
The Fall 2013 NTS Grad page can be found [[NTSGrad Fall 2013|here]].<br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2014&diff=6815NTS Spring 20142014-03-28T23:34:03Z<p>Rharron: /* Spring 2014 Semester */</p>
<hr />
<div>= Number Theory – Representation Theory Seminar, University of Wisconsin–Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30pm–3:30pm.<br />
*'''Where:''' Van Vleck B131<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 />
= Spring 2014 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| Jan 23 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://homepages.math.uic.edu/~hadian/ Majid Hadian-Jazi] <br> (University of Illinois at Chicago)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#January 23 | <font color="black"><em>On a motivic method in Diophantine geometry</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Jan 30 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.maths.usyd.edu.au/u/afish/ Alexander Fish] <br> (University of Sydney, Australia)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#January 30 | <font color="black"><em>Ergodic Plunnecke inequalities with applications to sumsets of infinite sets in countable abelian groups</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 6 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 6 | <font color="black"><em>---</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 13 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.dartmouth.edu/~jvoight/ John Voight]<br> (Dartmouth)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 13 | <font color="black"><em>Numerical calculation of three-point branched covers of the projective line</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 20 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.northwestern.edu/~nir/ Nir Avni] <br> (Northwestern)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 20 | <font color="black"><em>Representation zeta functions</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 27 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.mit.edu/~jmypark/ Jennifer Park] <br> (MIT)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 27 | <font color="black"><em>Effective Chabauty for symmetric power of curves</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 6 (Thurs.)<br />
| bgcolor="#F0B0B0"| Perfectoid talkoid<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 6 | <font color="black"><em>(First half of adic spaces talk)</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 13 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 13 | <font color="black"><em>--</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 20 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk <br> Spring break!<br />
| bgcolor="#BCE2FE"| <font color="black"><em>Spring break!</em></font><br />
|- <br />
| bgcolor="#E0E0E0"| Mar 27 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 27 | <font color="black"><em>--</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 3 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood] <br> (Madison)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 3 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 10 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.lsa.umich.edu/~kartikp/ Kartik Prasanna]<br> (Michigan)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 10 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 17 (Thurs.)<br />
| bgcolor="#F0B0B0"| ''Reserved'' <!--<br> (where?)--><br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 17 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 24 (Thurs.)<br />
| bgcolor="#F0B0B0"| Arul Shankar <br> (Harvard)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 24 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 1 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#May 1 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 8 (Thurs.)<br />
| bgcolor="#F0B0B0"| ''Reserved'' <!--<br> (where?)--><br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#May 8 | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Also of interest is the [[NTSGrad|Grad student seminar]] which meets on Tuesdays.<br><br />
Last semester's seminar page is [[NTS Fall 2013|here]].<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2014&diff=6814NTS Spring 20142014-03-28T23:33:37Z<p>Rharron: /* Spring 2014 Semester */ Melanie next week</p>
<hr />
<div>= Number Theory – Representation Theory Seminar, University of Wisconsin–Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30pm–3:30pm.<br />
*'''Where:''' Van Vleck B131<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 />
= Spring 2014 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| Jan 23 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://homepages.math.uic.edu/~hadian/ Majid Hadian-Jazi] <br> (University of Illinois at Chicago)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#January 23 | <font color="black"><em>On a motivic method in Diophantine geometry</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Jan 30 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.maths.usyd.edu.au/u/afish/ Alexander Fish] <br> (University of Sydney, Australia)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#January 30 | <font color="black"><em>Ergodic Plunnecke inequalities with applications to sumsets of infinite sets in countable abelian groups</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 6 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 6 | <font color="black"><em>---</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 13 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.dartmouth.edu/~jvoight/ John Voight]<br> (Dartmouth)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 13 | <font color="black"><em>Numerical calculation of three-point branched covers of the projective line</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 20 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.northwestern.edu/~nir/ Nir Avni] <br> (Northwestern)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 20 | <font color="black"><em>Representation zeta functions</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 27 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.mit.edu/~jmypark/ Jennifer Park] <br> (MIT)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 27 | <font color="black"><em>Effective Chabauty for symmetric power of curves</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 6 (Thurs.)<br />
| bgcolor="#F0B0B0"| Perfectoid talkoid<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 6 | <font color="black"><em>(First half of adic spaces talk)</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 13 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 13 | <font color="black"><em>--</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 20 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk <br> Spring break!<br />
| bgcolor="#BCE2FE"| <font color="black"><em>Spring break!</em></font><br />
|- <br />
| bgcolor="#E0E0E0"| Mar 27 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 27 | <font color="black"><em>--</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 3 (Thurs.)<br />
| bgcolor="#F0B0B0"| Melanie Matchett Wood <br> (Madison)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 3 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 10 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.lsa.umich.edu/~kartikp/ Kartik Prasanna]<br> (Michigan)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 10 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 17 (Thurs.)<br />
| bgcolor="#F0B0B0"| ''Reserved'' <!--<br> (where?)--><br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 17 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 24 (Thurs.)<br />
| bgcolor="#F0B0B0"| Arul Shankar <br> (Harvard)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 24 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 1 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#May 1 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 8 (Thurs.)<br />
| bgcolor="#F0B0B0"| ''Reserved'' <!--<br> (where?)--><br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#May 8 | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Also of interest is the [[NTSGrad|Grad student seminar]] which meets on Tuesdays.<br><br />
Last semester's seminar page is [[NTS Fall 2013|here]].<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTSGrad_Spring_2014&diff=6810NTSGrad Spring 20142014-03-27T20:41:37Z<p>Rharron: /* Spring 2014 Semester */</p>
<hr />
<div>= Number Theory – Representation Theory Graduate Student Seminar, University of Wisconsin–Madison =<br />
<br />
*'''When:''' Tuesdays, 2:30pm–3:30pm<br />
*'''Where:''' Van Vleck B131<br />
<br />
The purpose of this seminar is to have a talk on each Tuesday by a graduate student to<br />
help orient ourselves for the [[NTS|Number Theory Seminar]] talk on the following Thursday.<br />
These talks should be aimed at beginning graduate students, and should try to <br />
explain some of the background, terminology, and ideas for the Thursday talk. <br />
<br />
== Spring 2014 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 11 (Tues.)<br />
| bgcolor="#F0B0B0"| Silas Johnson<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 18 (Tues.)<br />
| bgcolor="#F0B0B0"| Andrew Bridy<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 25 (Tues.)<br />
| bgcolor="#F0B0B0"| Daniel Hast<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 4 (Tues.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>--</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 11 (Tues.)<br />
| bgcolor="#F0B0B0"| Yueke Hu<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts#March 11 | <font color="black"><em>Local integrals of triple product L-function and subconvexity bound</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 18 (Tues.)<br />
| bgcolor="#F0B0B0"| Spring break!<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>Spring break</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 25 (Tues.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>--</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 1 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 8 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 15 (Tues.)<br />
| bgcolor="#F0B0B0"| ''Reserved''<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 22 (Tues.)<br />
| bgcolor="#F0B0B0"| Yihe Dong<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 29 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 6 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
== Organizers ==<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
The Fall 2013 NTS Grad page can be found [[NTSGrad Fall 2013|here]].<br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTSGrad_Spring_2014&diff=6809NTSGrad Spring 20142014-03-27T20:06:51Z<p>Rharron: /* Spring 2014 Semester */</p>
<hr />
<div>= Number Theory – Representation Theory Graduate Student Seminar, University of Wisconsin–Madison =<br />
<br />
*'''When:''' Tuesdays, 2:30pm–3:30pm<br />
*'''Where:''' Van Vleck B131<br />
<br />
The purpose of this seminar is to have a talk on each Tuesday by a graduate student to<br />
help orient ourselves for the [[NTS|Number Theory Seminar]] talk on the following Thursday.<br />
These talks should be aimed at beginning graduate students, and should try to <br />
explain some of the background, terminology, and ideas for the Thursday talk. <br />
<br />
== Spring 2014 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 11 (Tues.)<br />
| bgcolor="#F0B0B0"| Silas Johnson<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 18 (Tues.)<br />
| bgcolor="#F0B0B0"| Andrew Bridy<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 25 (Tues.)<br />
| bgcolor="#F0B0B0"| Daniel Hast<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 4 (Tues.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>--</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 11 (Tues.)<br />
| bgcolor="#F0B0B0"| Yueke Hu<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts#March 11 | <font color="black"><em>Local integrals of triple product L-function and subconvexity bound</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 18 (Tues.)<br />
| bgcolor="#F0B0B0"| Spring break!<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>Spring break</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 25 (Tues.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>--</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 1 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 8 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 15 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 22 (Tues.)<br />
| bgcolor="#F0B0B0"| Yihe Dong<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 29 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 6 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
== Organizers ==<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
The Fall 2013 NTS Grad page can be found [[NTSGrad Fall 2013|here]].<br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2014&diff=6808NTS Spring 20142014-03-27T19:58:49Z<p>Rharron: /* Spring 2014 Semester */</p>
<hr />
<div>= Number Theory – Representation Theory Seminar, University of Wisconsin–Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30pm–3:30pm.<br />
*'''Where:''' Van Vleck B131<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 />
= Spring 2014 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| Jan 23 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://homepages.math.uic.edu/~hadian/ Majid Hadian-Jazi] <br> (University of Illinois at Chicago)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#January 23 | <font color="black"><em>On a motivic method in Diophantine geometry</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Jan 30 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.maths.usyd.edu.au/u/afish/ Alexander Fish] <br> (University of Sydney, Australia)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#January 30 | <font color="black"><em>Ergodic Plunnecke inequalities with applications to sumsets of infinite sets in countable abelian groups</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 6 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 6 | <font color="black"><em>---</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 13 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.dartmouth.edu/~jvoight/ John Voight]<br> (Dartmouth)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 13 | <font color="black"><em>Numerical calculation of three-point branched covers of the projective line</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 20 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.northwestern.edu/~nir/ Nir Avni] <br> (Northwestern)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 20 | <font color="black"><em>Representation zeta functions</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 27 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.mit.edu/~jmypark/ Jennifer Park] <br> (MIT)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 27 | <font color="black"><em>Effective Chabauty for symmetric power of curves</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 6 (Thurs.)<br />
| bgcolor="#F0B0B0"| Perfectoid talkoid<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 6 | <font color="black"><em>(First half of adic spaces talk)</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 13 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 13 | <font color="black"><em>--</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 20 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk <br> Spring break!<br />
| bgcolor="#BCE2FE"| <font color="black"><em>Spring break!</em></font><br />
|- <br />
| bgcolor="#E0E0E0"| Mar 27 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 27 | <font color="black"><em>--</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 3 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 3 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 10 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.lsa.umich.edu/~kartikp/ Kartik Prasanna]<br> (Michigan)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 10 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 17 (Thurs.)<br />
| bgcolor="#F0B0B0"| ''Reserved'' <!--<br> (where?)--><br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 17 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 24 (Thurs.)<br />
| bgcolor="#F0B0B0"| Arul Shankar <br> (Harvard)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 24 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 1 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#May 1 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 8 (Thurs.)<br />
| bgcolor="#F0B0B0"| ''Reserved'' <!--<br> (where?)--><br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#May 8 | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Also of interest is the [[NTSGrad|Grad student seminar]] which meets on Tuesdays.<br><br />
Last semester's seminar page is [[NTS Fall 2013|here]].<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2014&diff=6791NTS Spring 20142014-03-24T16:10:07Z<p>Rharron: /* Spring 2014 Semester */</p>
<hr />
<div>= Number Theory – Representation Theory Seminar, University of Wisconsin–Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30pm–3:30pm.<br />
*'''Where:''' Van Vleck B131<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 />
= Spring 2014 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| Jan 23 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://homepages.math.uic.edu/~hadian/ Majid Hadian-Jazi] <br> (University of Illinois at Chicago)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#January 23 | <font color="black"><em>On a motivic method in Diophantine geometry</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Jan 30 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.maths.usyd.edu.au/u/afish/ Alexander Fish] <br> (University of Sydney, Australia)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#January 30 | <font color="black"><em>Ergodic Plunnecke inequalities with applications to sumsets of infinite sets in countable abelian groups</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 6 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 6 | <font color="black"><em>---</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 13 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.dartmouth.edu/~jvoight/ John Voight]<br> (Dartmouth)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 13 | <font color="black"><em>Numerical calculation of three-point branched covers of the projective line</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 20 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.northwestern.edu/~nir/ Nir Avni] <br> (Northwestern)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 20 | <font color="black"><em>Representation zeta functions</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 27 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.mit.edu/~jmypark/ Jennifer Park] <br> (MIT)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 27 | <font color="black"><em>Effective Chabauty for symmetric power of curves</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 6 (Thurs.)<br />
| bgcolor="#F0B0B0"| Perfectoid talkoid<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 6 | <font color="black"><em>(First half of adic spaces talk)</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 13 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 13 | <font color="black"><em>--</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 20 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk <br> Spring break!<br />
| bgcolor="#BCE2FE"| <font color="black"><em>Spring break!</em></font><br />
|- <br />
| bgcolor="#E0E0E0"| Mar 27 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 27 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 3 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 3 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 10 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.lsa.umich.edu/~kartikp/ Kartik Prasanna]<br> (Michigan)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 10 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 17 (Thurs.)<br />
| bgcolor="#F0B0B0"| ''Reserved'' <!--<br> (where?)--><br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 17 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 24 (Thurs.)<br />
| bgcolor="#F0B0B0"| Arul Shankar <br> (Harvard)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 24 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 1 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#May 1 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 8 (Thurs.)<br />
| bgcolor="#F0B0B0"| ''Reserved'' <!--<br> (where?)--><br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#May 8 | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Also of interest is the [[NTSGrad|Grad student seminar]] which meets on Tuesdays.<br><br />
Last semester's seminar page is [[NTS Fall 2013|here]].<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2014&diff=6790NTS Spring 20142014-03-24T16:09:19Z<p>Rharron: /* Spring 2014 Semester */</p>
<hr />
<div>= Number Theory – Representation Theory Seminar, University of Wisconsin–Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30pm–3:30pm.<br />
*'''Where:''' Van Vleck B131<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 />
= Spring 2014 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| Jan 23 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://homepages.math.uic.edu/~hadian/ Majid Hadian-Jazi] <br> (University of Illinois at Chicago)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#January 23 | <font color="black"><em>On a motivic method in Diophantine geometry</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Jan 30 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.maths.usyd.edu.au/u/afish/ Alexander Fish] <br> (University of Sydney, Australia)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#January 30 | <font color="black"><em>Ergodic Plunnecke inequalities with applications to sumsets of infinite sets in countable abelian groups</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 6 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 6 | <font color="black"><em>---</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 13 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.dartmouth.edu/~jvoight/ John Voight]<br> (Dartmouth)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 13 | <font color="black"><em>Numerical calculation of three-point branched covers of the projective line</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 20 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.northwestern.edu/~nir/ Nir Avni] <br> (Northwestern)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 20 | <font color="black"><em>Representation zeta functions</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 27 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.mit.edu/~jmypark/ Jennifer Park] <br> (MIT)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 27 | <font color="black"><em>Effective Chabauty for symmetric power of curves</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 6 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 6 | <font color="black"><em>--</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 13 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 13 | <font color="black"><em>--</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 20 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk <br> Spring break!<br />
| bgcolor="#BCE2FE"| <font color="black"><em>Spring break!</em></font><br />
|- <br />
| bgcolor="#E0E0E0"| Mar 27 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 27 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 3 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 3 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 10 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.lsa.umich.edu/~kartikp/ Kartik Prasanna]<br> (Michigan)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 10 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 17 (Thurs.)<br />
| bgcolor="#F0B0B0"| ''Reserved'' <!--<br> (where?)--><br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 17 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 24 (Thurs.)<br />
| bgcolor="#F0B0B0"| Arul Shankar <br> (Harvard)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 24 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 1 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#May 1 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 8 (Thurs.)<br />
| bgcolor="#F0B0B0"| ''Reserved'' <!--<br> (where?)--><br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#May 8 | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Also of interest is the [[NTSGrad|Grad student seminar]] which meets on Tuesdays.<br><br />
Last semester's seminar page is [[NTS Fall 2013|here]].<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2014&diff=6789NTS Spring 20142014-03-24T16:08:47Z<p>Rharron: /* Spring 2014 Semester */ reserve april 17</p>
<hr />
<div>= Number Theory – Representation Theory Seminar, University of Wisconsin–Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30pm–3:30pm.<br />
*'''Where:''' Van Vleck B131<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 />
= Spring 2014 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| Jan 23 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://homepages.math.uic.edu/~hadian/ Majid Hadian-Jazi] <br> (University of Illinois at Chicago)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#January 23 | <font color="black"><em>On a motivic method in Diophantine geometry</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Jan 30 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.maths.usyd.edu.au/u/afish/ Alexander Fish] <br> (University of Sydney, Australia)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#January 30 | <font color="black"><em>Ergodic Plunnecke inequalities with applications to sumsets of infinite sets in countable abelian groups</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 6 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 6 | <font color="black"><em>---</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 13 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.dartmouth.edu/~jvoight/ John Voight]<br> (Dartmouth)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 13 | <font color="black"><em>Numerical calculation of three-point branched covers of the projective line</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 20 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.northwestern.edu/~nir/ Nir Avni] <br> (Northwestern)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 20 | <font color="black"><em>Representation zeta functions</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 27 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.mit.edu/~jmypark/ Jennifer Park] <br> (MIT)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 27 | <font color="black"><em>Effective Chabauty for symmetric power of curves</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 6 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 6 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 13 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 13 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 20 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk <br> Spring break!<br />
| bgcolor="#BCE2FE"| <font color="black"><em>Spring break!</em></font><br />
|- <br />
| bgcolor="#E0E0E0"| Mar 27 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 27 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 3 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 3 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 10 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.lsa.umich.edu/~kartikp/ Kartik Prasanna]<br> (Michigan)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 10 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 17 (Thurs.)<br />
| bgcolor="#F0B0B0"| ''Reserved'' <!--<br> (where?)--><br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 17 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 24 (Thurs.)<br />
| bgcolor="#F0B0B0"| Arul Shankar <br> (Harvard)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 24 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 1 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#May 1 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 8 (Thurs.)<br />
| bgcolor="#F0B0B0"| ''Reserved'' <!--<br> (where?)--><br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#May 8 | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Also of interest is the [[NTSGrad|Grad student seminar]] which meets on Tuesdays.<br><br />
Last semester's seminar page is [[NTS Fall 2013|here]].<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTSGrad_Spring_2014&diff=6769NTSGrad Spring 20142014-03-10T21:53:00Z<p>Rharron: /* Spring 2014 Semester */</p>
<hr />
<div>= Number Theory – Representation Theory Graduate Student Seminar, University of Wisconsin–Madison =<br />
<br />
*'''When:''' Tuesdays, 2:30pm–3:30pm<br />
*'''Where:''' Van Vleck B131<br />
<br />
The purpose of this seminar is to have a talk on each Tuesday by a graduate student to<br />
help orient ourselves for the [[NTS|Number Theory Seminar]] talk on the following Thursday.<br />
These talks should be aimed at beginning graduate students, and should try to <br />
explain some of the background, terminology, and ideas for the Thursday talk. <br />
<br />
== Spring 2014 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 11 (Tues.)<br />
| bgcolor="#F0B0B0"| Silas Johnson<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 18 (Tues.)<br />
| bgcolor="#F0B0B0"| Andrew Bridy<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 25 (Tues.)<br />
| bgcolor="#F0B0B0"| Daniel Hast<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 4 (Tues.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>--</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 11 (Tues.)<br />
| bgcolor="#F0B0B0"| Yueke Hu<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts#March 11 | <font color="black"><em>Local integrals of triple product L-function and subconvexity bound</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 18 (Tues.)<br />
| bgcolor="#F0B0B0"| -----<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>spring break</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 25 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 1 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 8 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 15 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 22 (Tues.)<br />
| bgcolor="#F0B0B0"| Yihe Dong<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 29 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 6 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
== Organizers ==<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
The Fall 2013 NTS Grad page can be found [[NTSGrad Fall 2013|here]].<br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2014/Abstracts&diff=6768NTS Spring 2014/Abstracts2014-03-10T21:52:38Z<p>Rharron: </p>
<hr />
<div>== January 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%" | '''Majid Hadian-Jazi''' (UIC)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: On a motivic method in Diophantine geometry<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: By studying the variation of motivic path torsors associated to a variety, we show how certain nondensity assertions in Diophantine geometry can be translated to problems concerning K-groups. Then we use some vanishing theorems to obtain concrete results.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== January 30 ==<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%" | '''Alexander Fish''' (University of Sydney, Australia)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Ergodic Plunnecke inequalities with applications to sumsets of infinite sets in countable abelian groups<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: By use of recent ideas of Petridis, we extend Plunnecke inequalities for sumsets of finite sets in abelian groups to the setting of measure-preserving systems. The main difference in the new setting is that instead of a finite set of translates we have an analogous inequality for a countable set of translates. As an application, by use of Furstenberg correspondence principle, we obtain new Plunnecke type inequalities for lower and upper Banach density in countable abelian groups. Joint work with Michael Bjorklund, Chalmers. <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== February 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%" | '''John Voight''' (Dartmouth)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Numerical calculation of three-point branched covers of the projective line<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: We exhibit a numerical method to compute three-point branched covers of the complex projective line. We develop algorithms for working explicitly with Fuchsian triangle groups and their finite index subgroups, and we use these algorithms to compute power series expansions of modular forms on these groups. This is joint work with Michael Klug, Michael Musty, and Sam Schiavone.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== February 20 ==<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%" | '''Nir Avni''' (Northwestern)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Representation zeta functions<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will talk about connections between the following:<br />
1) Asymptotic representation theory of an arithmetic lattice ''G''('''Z'''). More precisely, the question of how many ''n''-dimensional representations does ''G''('''Z''') have.<br />
2) The distribution of a random commutator in the ''p''-adic analytic group ''G''('''Z'''<sub>''p''</sub>).<br />
3) The complex geometry of the moduli spaces of ''G''-local systems on a Riemann surface, and, more precisely, the structure of its singularities.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== February 27 ==<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%" | '''Jennifer Park''' (MIT)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Effective Chabauty for symmetric power of curves<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: While we know by Faltings' theorem that curves of genus at least 2 have finitely many rational points, his theorem is not effective. In 1985, Coleman showed that Chabauty's method, which works when the Mordell-Weil rank of the Jacobian of the curve is small, can be used to give a good effective bound on the number of rational points of curves of genus g > 1. In this talk, we draw ideas from tropical geometry to show that we can also give an effective bound on the number of rational points of Sym^d(X) that are not parametrized by a projective space or a coset of an abelian variety, where X is a curve of genus g > d, when the Mordell-Weil rank of the Jacobian of the curve is at most g-d. <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== March 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%" | '''Yueke Hu''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Local integrals of triple product ''L''-function and subconvexity bound<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Venkatesh proposed a strategy to prove the subconvexity bound in the level aspect for triple product ''L''-function. With the integral representation of triple product ''L''-function, if one can get an upper bound for the global integral and a lower bound for the local integrals, then one can get an upper bound for the ''L''-function, which turns out to be a subconvexity bound. Such a subconvexity bound was obtained essentially for representations of square free level. I will talk about how to generalize this result to the case with higher ramifications as well as joint ramifications.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
<!--<br />
== September 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%" | '''Simon Marshall''' (Northwestern)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Endoscopy and cohomology growth on U(3)<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will use the endoscopic classification of automorphic forms on U(3) to determine the asymptotic cohomology growth of families of complex-hyperbolic 2-manifolds.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== September 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%" | '''Valerio Toledano Laredo''' (Northeastern)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: From Yangians to quantum loop algebras via abelian difference equations<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: For a semisimple Lie algebra ''g'', the quantum loop algebra<br />
and the Yangian are deformations of the loop algebra ''g''[''z,&nbsp;''z&nbsp;&minus;&nbsp;1]<br />
and the current algebra ''g''[''u''], respectively. These infinite-dimensional<br />
quantum groups share many common features, though a<br />
precise explanation of these similarities has been missing<br />
so far.<br />
<br />
In this talk, I will explain how to construct a functor between<br />
the finite-dimensional representation categories of these<br />
two Hopf algebras which accounts for all known similarities<br />
between them.<br />
<br />
The functor is transcendental in nature, and is obtained from<br />
the discrete monodromy of an abelian difference equation<br />
canonically associated to the Yangian.<br />
<br />
This talk is based on a joint work with Sachin Gautam.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== September 26 ==<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%" | '''Haluk Şengün''' (Warwick/ICERM)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Torsion homology of Bianchi groups and arithmetic<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Bianchi groups are groups of the form ''SL''(2,&nbsp;''R'') where ''R'' is the ring of integers of an imaginary quadratic field. They form an important class of arithmetic Kleinian groups and moreover they hold a key role for the development of the Langlands program for ''GL''(2) beyond totally real fields.<br />
<br />
In this talk, I will discuss several interesting questions related to the torsion in the homology of Bianchi groups. I will especially focus on the recent results on the asymptotic behavior of the size of torsion, and the reciprocity and functoriality (in the sense of the Langlands program) aspects of the torsion. Joint work with N.&nbsp;Bergeron and A.&nbsp;Venkatesh on the cycle complexity of arithmetic manifolds will be discussed at the end.<br />
<br />
The discussion will be illustrated with many numerical examples.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Andrew Bridy''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The Artin–Mazur zeta function of a Lattes map in positive characteristic<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: The Artin–Mazur zeta function of a dynamical system is a generating function that captures information about its periodic points. In characteristic zero, the zeta function of a rational map from '''P'''<sup>1</sup> to '''P'''<sup>1</sup> is known to always be a rational function. In positive characteristic, the situation is much less clear. Lattes maps are rational maps on '''P'''<sup>1</sup> that are finite quotients of endomorphisms of elliptic curves, and they have many interesting dynamical properties related to the geometry and arithmetic of elliptic curves. I show that the zeta function of a separable Lattes map in positive characteristic is a transcendental function.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Bogdan Petrenko''' (Eastern Illinois University)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Generating an algebra from the probabilistic standpoint<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Let ''A'' be a ring whose additive group is free Abelian of finite<br />
rank. The topic of this talk is the following question: what is the<br />
probability that several random elements of ''A'' generate it as a ring? After<br />
making this question precise, I will show that it has an interesting<br />
answer which can be interpreted as a local-global principle. Some<br />
applications will be discussed. This talk will be based on my joint work<br />
with Rostyslav Kravchenko (University of Chicago) and Marcin Mazur<br />
(Binghamton University).<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 17 ==<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%" | '''Anthony Várilly-Alvarado''' (Rice)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Arithmetic of del Pezzo surfaces of degree 4 and vertical Brauer groups<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Del Pezzo surfaces X of degree 4 are smooth (complete) intersections of two quadrics in four-dimensional projective space. They are some of the simplest surfaces for which there can be cohomological obstructions to the existence of rational points, mediated by the Brauer group Br X of the surface. I will explain how to construct, for every non-trivial, non-constant element A of Br X, a rational genus-one fibration X -> P^1 such that A is "vertical" for this map. This implies, for example, that if there is a cohomological obstruction to the existence of a point on X, then there is a genus-one fibration X -> P^1 where none of the fibers are locally soluble, giving a concrete, geometric way of "seeing" a Brauer-Manin obstruction. The construction also gives a fast, practical algorithm for computing the Brauer group of X. Conjecturally, this gives a mechanical way of testing for the existence of rational points on these surfaces. This is joint work with Bianca Viray.<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Paul Garrett''' (Minnesota)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Spectra of pseudo-Laplacians on spaces of automorphic forms<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Faddeev–Pavlov and Lax–Phillips observed that certain<br />
restrictions of the Laplacian to parts of automorphic continuous<br />
spectrum have discrete spectrum. Colin de Verdiere used this to prove<br />
meromorphic continuation of Eisenstein series, and proposed ways to<br />
exploit this idea to construct self-adjoint operators with spectra<br />
related to zeros of ''L''-functions. We show that simple forms of this<br />
construction produce at most very sparse spectra, due to<br />
incompatibility with pair correlations for zeros. Ways around some of<br />
the obstacles are sketched. (Joint with E. Bombieri.)<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Jerry Wang''' (Princeton)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Pencils of quadrics and the arithmetic of hyperelliptic curves<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: In recent joint works with Manjul Bhargava and Benedict Gross, we showed that a positive proportion of hyperelliptic curves over '''Q''' of genus ''g'' have no points over any odd degree extension of '''Q'''. This is done by computing certain 2-Selmer averages and applying a result of Dokchitser–Dokchitser on the parity of the rank of the 2-Selmer groups in biquadratic twists. In this talk, we will see how arithmetic invariant theory and the geometric theory of pencils of quadrics are used to obtain the 2-Selmer averages.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 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%" | '''who?''' (where?)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 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%" | '''Evan Dummit''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Counting extensions of number fields of given degree, bounded (rho)-discriminant, and specified Galois closure<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: A very basic question in algebraic number theory is: how many number fields are there? A natural way to order the fields of a fixed degree n is by discriminant, and classical results of Minkowski then assure us that there are only finitely many fields with a given discriminant. We are also often interested in counting number fields, or relative extensions, with other properties, such as having a particular Galois closure. A folk conjecture sometimes attributed to Linnik states that the number of extensions of degree n and absolute discriminant less than X is on the order of X. A great deal of recent and ongoing work has been focused towards achieving upper bounds on counts of this nature (quite successfully, in degree 5 and lower), but there is comparatively little known in higher degrees, for relative extensions, or for sufficiently complicated Galois closures: the primary results are those of Schmidt and Ellenberg-Venkatesh. I will discuss these results and my thesis work, in which I generalize several of their results and introduce another counting metric, the "rho-discriminant". <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 21 ==<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 Lipnowski''' (Duke)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" |<br />
Abstract: tba<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 26 ==<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%" | '''Daniel Kane''' (Stanford)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Diffuse decompositions of polynomials<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: We study some problems relating to polynomials evaluated<br />
either at random Gaussian or random Bernoulli inputs. We present some<br />
new work on a structure theorem for degree-''d'' polynomials with Gaussian<br />
inputs. In particular, if ''p'' is a given degree-''d'' polynomial, then ''p''<br />
can be written in terms of some bounded number of other polynomials<br />
''q''<sub>1</sub>, ..., ''q''<sub>''m''</sub> so that the joint probability density function of<br />
''q''<sub>1</sub>(''G''), ..., ''q''<sub>''m''</sub>(''G'') is close to being bounded. This says essentially<br />
that any abnormalities in the distribution of ''p''(''G'') can be explained by<br />
the way in which ''p'' decomposes into the ''q''<sub>''i''</sub>. We then present some<br />
applications of this result. <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== December 5 ==<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%" | '''Jennifer Park''' (MIT)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== December 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%" | '''Vivek Shende''' (Berkeley)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Equidistribution on the space of rank two vector bundles over the projective line<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will discuss how the algebraic geometry of hyperelliptic curves gives an approach to a function field analogue of the 'mixing conjecture' of Michel and Venkatesh. (For a rather longer abstract, see the [http://arxiv.org/abs/1307.8237 arxiv posting] of the same name as the talk). This talk presents joint work with Jacob Tsimerman. <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
--><br />
<br />
== Organizer contact information ==<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTSGrad_Spring_2014&diff=6762NTSGrad Spring 20142014-03-07T21:31:08Z<p>Rharron: /* Spring 2014 Semester */ add yueke next week</p>
<hr />
<div>= Number Theory – Representation Theory Graduate Student Seminar, University of Wisconsin–Madison =<br />
<br />
*'''When:''' Tuesdays, 2:30pm–3:30pm<br />
*'''Where:''' Van Vleck B131<br />
<br />
The purpose of this seminar is to have a talk on each Tuesday by a graduate student to<br />
help orient ourselves for the [[NTS|Number Theory Seminar]] talk on the following Thursday.<br />
These talks should be aimed at beginning graduate students, and should try to <br />
explain some of the background, terminology, and ideas for the Thursday talk. <br />
<br />
== Spring 2014 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 11 (Tues.)<br />
| bgcolor="#F0B0B0"| Silas Johnson<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 18 (Tues.)<br />
| bgcolor="#F0B0B0"| Andrew Bridy<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 25 (Tues.)<br />
| bgcolor="#F0B0B0"| Daniel Hast<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 4 (Tues.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>--</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 11 (Tues.)<br />
| bgcolor="#F0B0B0"| Yueke Hu<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>Local integrals of triple product L-function and subconvexity bound</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 18 (Tues.)<br />
| bgcolor="#F0B0B0"| -----<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>spring break</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 25 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 1 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 8 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 15 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 22 (Tues.)<br />
| bgcolor="#F0B0B0"| Yihe Dong<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 29 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 6 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
== Organizers ==<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
The Fall 2013 NTS Grad page can be found [[NTSGrad Fall 2013|here]].<br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTSGrad_Spring_2014&diff=6625NTSGrad Spring 20142014-02-12T00:28:25Z<p>Rharron: /* Spring 2014 Semester */ Andrew Bridy Feb 18</p>
<hr />
<div>= Number Theory – Representation Theory Graduate Student Seminar, University of Wisconsin–Madison =<br />
<br />
*'''When:''' Tuesdays, 2:30pm–3:30pm<br />
*'''Where:''' Van Vleck B131<br />
<br />
The purpose of this seminar is to have a talk on each Tuesday by a graduate student to<br />
help orient ourselves for the [[NTS|Number Theory Seminar]] talk on the following Thursday.<br />
These talks should be aimed at beginning graduate students, and should try to <br />
explain some of the background, terminology, and ideas for the Thursday talk. <br />
<br />
== Spring 2014 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 11 (Tues.)<br />
| bgcolor="#F0B0B0"| Silas Johnson<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 18 (Tues.)<br />
| bgcolor="#F0B0B0"| Andrew Bridy<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 25 (Tues.)<br />
| bgcolor="#F0B0B0"| Daniel Hast<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 4 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 11 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 18 (Tues.)<br />
| bgcolor="#F0B0B0"| -----<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>spring break</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 25 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 1 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 8 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 15 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 22 (Tues.)<br />
| bgcolor="#F0B0B0"| Yihe Dong<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 29 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 6 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
== Organizers ==<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
The Fall 2013 NTS Grad page can be found [[NTSGrad Fall 2013|here]].<br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2014&diff=6578NTS Spring 20142014-02-07T03:48:43Z<p>Rharron: /* Spring 2014 Semester */ Kartik on April 10</p>
<hr />
<div>= Number Theory – Representation Theory Seminar, University of Wisconsin–Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30pm–3:30pm.<br />
*'''Where:''' Van Vleck B131<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 />
= Spring 2014 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| Jan 23 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://homepages.math.uic.edu/~hadian/ Majid Hadian-Jazi] <br> (University of Illinois at Chicago)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#January 23 | <font color="black"><em>On a motivic method in Diophantine geometry</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Jan 30 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.maths.usyd.edu.au/u/afish/ Alexander Fish] <br> (University of Sydney, Australia)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#January 30 | <font color="black"><em>Ergodic Plunnecke inequalities with applications to sumsets of infinite sets in countable abelian groups</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 6 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 6 | <font color="black"><em>---</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 13 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.dartmouth.edu/~jvoight/ John Voight]<br> (Dartmouth)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 13 | <font color="black"><em>Numerical calculation of three-point branched covers of the projective line</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 20 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.northwestern.edu/~nir/ Nir Avni] <br> (Northwestern)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 20 | <font color="black"><em>Representation zeta functions</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 27 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.mit.edu/~jmypark/ Jennifer Park] <br> (MIT)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 27 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 6 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 6 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 13 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 13 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 20 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk <br> Spring break!<br />
| bgcolor="#BCE2FE"| <font color="black"><em>Spring break!</em></font><br />
|- <br />
| bgcolor="#E0E0E0"| Mar 27 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 27 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 3 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 3 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 10 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.lsa.umich.edu/~kartikp/ Kartik Prasanna]<br> (Michigan)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 10 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 17 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 17 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 24 (Thurs.)<br />
| bgcolor="#F0B0B0"| Arul Shankar <br> (Harvard)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 24 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 1 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#May 1 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 8 (Thurs.)<br />
| bgcolor="#F0B0B0"| ''Reserved'' <!--<br> (where?)--><br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#May 8 | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Also of interest is the [[NTSGrad|Grad student seminar]] which meets on Tuesdays.<br><br />
Last semester's seminar page is [[NTS Fall 2013|here]].<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2014&diff=6572NTS Spring 20142014-02-06T04:49:40Z<p>Rharron: /* Spring 2014 Semester */ reserve may 8</p>
<hr />
<div>= Number Theory – Representation Theory Seminar, University of Wisconsin–Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30pm–3:30pm.<br />
*'''Where:''' Van Vleck B131<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 />
= Spring 2014 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| Jan 23 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://homepages.math.uic.edu/~hadian/ Majid Hadian-Jazi] <br> (University of Illinois at Chicago)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#January 23 | <font color="black"><em>On a motivic method in Diophantine geometry</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Jan 30 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.maths.usyd.edu.au/u/afish/ Alexander Fish] <br> (University of Sydney, Australia)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#January 30 | <font color="black"><em>Ergodic Plunnecke inequalities with applications to sumsets of infinite sets in countable abelian groups</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 6 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 6 | <font color="black"><em>---</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 13 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.dartmouth.edu/~jvoight/ John Voight]<br> (Dartmouth)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 13 | <font color="black"><em>Numerical calculation of three-point branched covers of the projective line</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 20 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.northwestern.edu/~nir/ Nir Avni] <br> (Northwestern)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 20 | <font color="black"><em>Representation zeta functions</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 27 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.mit.edu/~jmypark/ Jennifer Park] <br> (MIT)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 27 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 6 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 6 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 13 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 13 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 20 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk <br> Spring break!<br />
| bgcolor="#BCE2FE"| <font color="black"><em>Spring break!</em></font><br />
|- <br />
| bgcolor="#E0E0E0"| Mar 27 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 27 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 3 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 3 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 10 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 10 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 17 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 17 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 24 (Thurs.)<br />
| bgcolor="#F0B0B0"| Arul Shankar <br> (Harvard)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 24 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 1 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#May 1 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 8 (Thurs.)<br />
| bgcolor="#F0B0B0"| ''Reserved'' <!--<br> (where?)--><br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#May 8 | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Also of interest is the [[NTSGrad|Grad student seminar]] which meets on Tuesdays.<br><br />
Last semester's seminar page is [[NTS Fall 2013|here]].<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2014&diff=6551NTS Spring 20142014-02-05T15:05:22Z<p>Rharron: /* Spring 2014 Semester */</p>
<hr />
<div>= Number Theory – Representation Theory Seminar, University of Wisconsin–Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30pm–3:30pm.<br />
*'''Where:''' Van Vleck B131<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 />
= Spring 2014 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| Jan 23 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://homepages.math.uic.edu/~hadian/ Majid Hadian-Jazi] <br> (University of Illinois at Chicago)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#January 23 | <font color="black"><em>On a motivic method in Diophantine geometry</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Jan 30 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.maths.usyd.edu.au/u/afish/ Alexander Fish] <br> (University of Sydney, Australia)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#January 30 | <font color="black"><em>Ergodic Plunnecke inequalities with applications to sumsets of infinite sets in countable abelian groups</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 6 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 6 | <font color="black"><em>---</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 13 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.dartmouth.edu/~jvoight/ John Voight]<br> (Dartmouth)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 13 | <font color="black"><em>Numerical calculation of three-point branched covers of the projective line</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 20 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.northwestern.edu/~nir/ Nir Avni] <br> (Northwestern)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 20 | <font color="black"><em>Representation zeta functions</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 27 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.mit.edu/~jmypark/ Jennifer Park] <br> (MIT)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 27 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 6 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 6 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 13 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 13 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 20 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk <br> Spring break!<br />
| bgcolor="#BCE2FE"| <font color="black"><em>Spring break!</em></font><br />
|- <br />
| bgcolor="#E0E0E0"| Mar 27 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 27 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 3 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 3 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 10 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 10 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 17 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 17 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 24 (Thurs.)<br />
| bgcolor="#F0B0B0"| Arul Shankar <br> (Harvard)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 24 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 1 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#May 1 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 8 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#May 8 | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Also of interest is the [[NTSGrad|Grad student seminar]] which meets on Tuesdays.<br><br />
Last semester's seminar page is [[NTS Fall 2013|here]].<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTSGrad_Spring_2014&diff=6550NTSGrad Spring 20142014-02-05T15:03:01Z<p>Rharron: /* Spring 2014 Semester */ add some names</p>
<hr />
<div>= Number Theory – Representation Theory Graduate Student Seminar, University of Wisconsin–Madison =<br />
<br />
*'''When:''' Tuesdays, 2:30pm–3:30pm<br />
*'''Where:''' Van Vleck B131<br />
<br />
The purpose of this seminar is to have a talk on each Tuesday by a graduate student to<br />
help orient ourselves for the [[NTS|Number Theory Seminar]] talk on the following Thursday.<br />
These talks should be aimed at beginning graduate students, and should try to <br />
explain some of the background, terminology, and ideas for the Thursday talk. <br />
<br />
== Spring 2014 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 11 (Tues.)<br />
| bgcolor="#F0B0B0"| Silas Johnson<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 18 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 25 (Tues.)<br />
| bgcolor="#F0B0B0"| Daniel Hast<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 4 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 11 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 18 (Tues.)<br />
| bgcolor="#F0B0B0"| -----<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>spring break</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 25 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 1 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 8 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 15 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 22 (Tues.)<br />
| bgcolor="#F0B0B0"| Yihe Dong<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 29 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 6 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
== Organizers ==<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
The Fall 2013 NTS Grad page can be found [[NTSGrad Fall 2013|here]].<br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2014/Abstracts&diff=6549NTS Spring 2014/Abstracts2014-02-05T15:02:20Z<p>Rharron: /* February 20 */ wiki formatting</p>
<hr />
<div>== January 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%" | '''Majid Hadian-Jazi''' (UIC)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: On a motivic method in Diophantine geometry<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: By studying the variation of motivic path torsors associated to a variety, we show how certain nondensity assertions in Diophantine geometry can be translated to problems concerning K-groups. Then we use some vanishing theorems to obtain concrete results.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== January 30 ==<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%" | '''Alexander Fish''' (University of Sydney, Australia)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Ergodic Plunnecke inequalities with applications to sumsets of infinite sets in countable abelian groups<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: By use of recent ideas of Petridis, we extend Plunnecke inequalities for sumsets of finite sets in abelian groups to the setting of measure-preserving systems. The main difference in the new setting is that instead of a finite set of translates we have an analogous inequality for a countable set of translates. As an application, by use of Furstenberg correspondence principle, we obtain new Plunnecke type inequalities for lower and upper Banach density in countable abelian groups. Joint work with Michael Bjorklund, Chalmers. <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== February 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%" | '''John Voight''' (Dartmouth)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Numerical calculation of three-point branched covers of the projective line<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: We exhibit a numerical method to compute three-point branched covers of the complex projective line. We develop algorithms for working explicitly with Fuchsian triangle groups and their finite index subgroups, and we use these algorithms to compute power series expansions of modular forms on these groups. This is joint work with Michael Klug, Michael Musty, and Sam Schiavone.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== February 20 ==<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%" | '''Nir Avni''' (Northwestern)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Representation zeta functions<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will talk about connections between the following:<br />
1) Asymptotic representation theory of an arithmetic lattice ''G''('''Z'''). More precisely, the question of how many ''n''-dimensional representations does ''G''('''Z''') have.<br />
2) The distribution of a random commutator in the ''p''-adic analytic group ''G''('''Z'''<sub>''p''</sub>).<br />
3) The complex geometry of the moduli spaces of ''G''-local systems on a Riemann surface, and, more precisely, the structure of its singularities.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== February 27 ==<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%" | '''Jennifer Park''' (MIT)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
<!--<br />
== September 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%" | '''Simon Marshall''' (Northwestern)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Endoscopy and cohomology growth on U(3)<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will use the endoscopic classification of automorphic forms on U(3) to determine the asymptotic cohomology growth of families of complex-hyperbolic 2-manifolds.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== September 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%" | '''Valerio Toledano Laredo''' (Northeastern)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: From Yangians to quantum loop algebras via abelian difference equations<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: For a semisimple Lie algebra ''g'', the quantum loop algebra<br />
and the Yangian are deformations of the loop algebra ''g''[''z,&nbsp;''z&nbsp;&minus;&nbsp;1]<br />
and the current algebra ''g''[''u''], respectively. These infinite-dimensional<br />
quantum groups share many common features, though a<br />
precise explanation of these similarities has been missing<br />
so far.<br />
<br />
In this talk, I will explain how to construct a functor between<br />
the finite-dimensional representation categories of these<br />
two Hopf algebras which accounts for all known similarities<br />
between them.<br />
<br />
The functor is transcendental in nature, and is obtained from<br />
the discrete monodromy of an abelian difference equation<br />
canonically associated to the Yangian.<br />
<br />
This talk is based on a joint work with Sachin Gautam.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== September 26 ==<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%" | '''Haluk Şengün''' (Warwick/ICERM)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Torsion homology of Bianchi groups and arithmetic<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Bianchi groups are groups of the form ''SL''(2,&nbsp;''R'') where ''R'' is the ring of integers of an imaginary quadratic field. They form an important class of arithmetic Kleinian groups and moreover they hold a key role for the development of the Langlands program for ''GL''(2) beyond totally real fields.<br />
<br />
In this talk, I will discuss several interesting questions related to the torsion in the homology of Bianchi groups. I will especially focus on the recent results on the asymptotic behavior of the size of torsion, and the reciprocity and functoriality (in the sense of the Langlands program) aspects of the torsion. Joint work with N.&nbsp;Bergeron and A.&nbsp;Venkatesh on the cycle complexity of arithmetic manifolds will be discussed at the end.<br />
<br />
The discussion will be illustrated with many numerical examples.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Andrew Bridy''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The Artin–Mazur zeta function of a Lattes map in positive characteristic<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: The Artin–Mazur zeta function of a dynamical system is a generating function that captures information about its periodic points. In characteristic zero, the zeta function of a rational map from '''P'''<sup>1</sup> to '''P'''<sup>1</sup> is known to always be a rational function. In positive characteristic, the situation is much less clear. Lattes maps are rational maps on '''P'''<sup>1</sup> that are finite quotients of endomorphisms of elliptic curves, and they have many interesting dynamical properties related to the geometry and arithmetic of elliptic curves. I show that the zeta function of a separable Lattes map in positive characteristic is a transcendental function.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Bogdan Petrenko''' (Eastern Illinois University)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Generating an algebra from the probabilistic standpoint<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Let ''A'' be a ring whose additive group is free Abelian of finite<br />
rank. The topic of this talk is the following question: what is the<br />
probability that several random elements of ''A'' generate it as a ring? After<br />
making this question precise, I will show that it has an interesting<br />
answer which can be interpreted as a local-global principle. Some<br />
applications will be discussed. This talk will be based on my joint work<br />
with Rostyslav Kravchenko (University of Chicago) and Marcin Mazur<br />
(Binghamton University).<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 17 ==<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%" | '''Anthony Várilly-Alvarado''' (Rice)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Arithmetic of del Pezzo surfaces of degree 4 and vertical Brauer groups<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Del Pezzo surfaces X of degree 4 are smooth (complete) intersections of two quadrics in four-dimensional projective space. They are some of the simplest surfaces for which there can be cohomological obstructions to the existence of rational points, mediated by the Brauer group Br X of the surface. I will explain how to construct, for every non-trivial, non-constant element A of Br X, a rational genus-one fibration X -> P^1 such that A is "vertical" for this map. This implies, for example, that if there is a cohomological obstruction to the existence of a point on X, then there is a genus-one fibration X -> P^1 where none of the fibers are locally soluble, giving a concrete, geometric way of "seeing" a Brauer-Manin obstruction. The construction also gives a fast, practical algorithm for computing the Brauer group of X. Conjecturally, this gives a mechanical way of testing for the existence of rational points on these surfaces. This is joint work with Bianca Viray.<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Paul Garrett''' (Minnesota)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Spectra of pseudo-Laplacians on spaces of automorphic forms<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Faddeev–Pavlov and Lax–Phillips observed that certain<br />
restrictions of the Laplacian to parts of automorphic continuous<br />
spectrum have discrete spectrum. Colin de Verdiere used this to prove<br />
meromorphic continuation of Eisenstein series, and proposed ways to<br />
exploit this idea to construct self-adjoint operators with spectra<br />
related to zeros of ''L''-functions. We show that simple forms of this<br />
construction produce at most very sparse spectra, due to<br />
incompatibility with pair correlations for zeros. Ways around some of<br />
the obstacles are sketched. (Joint with E. Bombieri.)<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Jerry Wang''' (Princeton)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Pencils of quadrics and the arithmetic of hyperelliptic curves<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: In recent joint works with Manjul Bhargava and Benedict Gross, we showed that a positive proportion of hyperelliptic curves over '''Q''' of genus ''g'' have no points over any odd degree extension of '''Q'''. This is done by computing certain 2-Selmer averages and applying a result of Dokchitser–Dokchitser on the parity of the rank of the 2-Selmer groups in biquadratic twists. In this talk, we will see how arithmetic invariant theory and the geometric theory of pencils of quadrics are used to obtain the 2-Selmer averages.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 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%" | '''who?''' (where?)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 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%" | '''Evan Dummit''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Counting extensions of number fields of given degree, bounded (rho)-discriminant, and specified Galois closure<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: A very basic question in algebraic number theory is: how many number fields are there? A natural way to order the fields of a fixed degree n is by discriminant, and classical results of Minkowski then assure us that there are only finitely many fields with a given discriminant. We are also often interested in counting number fields, or relative extensions, with other properties, such as having a particular Galois closure. A folk conjecture sometimes attributed to Linnik states that the number of extensions of degree n and absolute discriminant less than X is on the order of X. A great deal of recent and ongoing work has been focused towards achieving upper bounds on counts of this nature (quite successfully, in degree 5 and lower), but there is comparatively little known in higher degrees, for relative extensions, or for sufficiently complicated Galois closures: the primary results are those of Schmidt and Ellenberg-Venkatesh. I will discuss these results and my thesis work, in which I generalize several of their results and introduce another counting metric, the "rho-discriminant". <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 21 ==<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 Lipnowski''' (Duke)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" |<br />
Abstract: tba<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 26 ==<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%" | '''Daniel Kane''' (Stanford)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Diffuse decompositions of polynomials<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: We study some problems relating to polynomials evaluated<br />
either at random Gaussian or random Bernoulli inputs. We present some<br />
new work on a structure theorem for degree-''d'' polynomials with Gaussian<br />
inputs. In particular, if ''p'' is a given degree-''d'' polynomial, then ''p''<br />
can be written in terms of some bounded number of other polynomials<br />
''q''<sub>1</sub>, ..., ''q''<sub>''m''</sub> so that the joint probability density function of<br />
''q''<sub>1</sub>(''G''), ..., ''q''<sub>''m''</sub>(''G'') is close to being bounded. This says essentially<br />
that any abnormalities in the distribution of ''p''(''G'') can be explained by<br />
the way in which ''p'' decomposes into the ''q''<sub>''i''</sub>. We then present some<br />
applications of this result. <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== December 5 ==<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%" | '''Jennifer Park''' (MIT)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== December 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%" | '''Vivek Shende''' (Berkeley)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Equidistribution on the space of rank two vector bundles over the projective line<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will discuss how the algebraic geometry of hyperelliptic curves gives an approach to a function field analogue of the 'mixing conjecture' of Michel and Venkatesh. (For a rather longer abstract, see the [http://arxiv.org/abs/1307.8237 arxiv posting] of the same name as the talk). This talk presents joint work with Jacob Tsimerman. <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
--><br />
<br />
== Organizer contact information ==<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTSGrad_Spring_2014&diff=6481NTSGrad Spring 20142014-01-28T20:34:46Z<p>Rharron: /* Spring 2014 Semester */ Yihe for april 22</p>
<hr />
<div>= Number Theory – Representation Theory Graduate Student Seminar, University of Wisconsin–Madison =<br />
<br />
*'''When:''' Tuesdays, 2:30pm–3:30pm<br />
*'''Where:''' Van Vleck B131<br />
<br />
The purpose of this seminar is to have a talk on each Tuesday by a graduate student to<br />
help orient ourselves for the [[NTS|Number Theory Seminar]] talk on the following Thursday.<br />
These talks should be aimed at beginning graduate students, and should try to <br />
explain some of the background, terminology, and ideas for the Thursday talk. <br />
<br />
== Spring 2014 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 4 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 11 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 18 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 25 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 4 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 11 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 18 (Tues.)<br />
| bgcolor="#F0B0B0"| -----<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>spring break</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 25 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 1 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 8 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 15 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 22 (Tues.)<br />
| bgcolor="#F0B0B0"| Yihe Dong<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 29 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 6 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
== Organizers ==<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
The Fall 2013 NTS Grad page can be found [[NTSGrad Fall 2013|here]].<br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2014&diff=6469NTS Spring 20142014-01-26T15:08:11Z<p>Rharron: /* Spring 2014 Semester */ arul: april 24</p>
<hr />
<div>= Number Theory – Representation Theory Seminar, University of Wisconsin–Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30pm–3:30pm.<br />
*'''Where:''' Van Vleck B131<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 />
= Spring 2014 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| Jan 23 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://homepages.math.uic.edu/~hadian/ Majid Hadian-Jazi] <br> (University of Illinois at Chicago)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#January 23 | <font color="black"><em>On a motivic method in Diophantine geometry</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Jan 30 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.maths.usyd.edu.au/u/afish/ Alexander Fish] <br> (University of Sydney, Australia)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#January 30 | <font color="black"><em>Ergodic Plunnecke inequalities with applications to sumsets of infinite sets in countable abelian groups</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 6 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 6 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 13 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.dartmouth.edu/~jvoight/ John Voight]<br> (Dartmouth)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 13 | <font color="black"><em>Numerical calculation of three-point branched covers of the projective line</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 20 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 20 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 27 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.mit.edu/~jmypark/ Jennifer Park] <br> (MIT)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 27 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 6 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 6 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 13 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 13 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 20 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk <br> Spring break!<br />
| bgcolor="#BCE2FE"| <font color="black"><em>Spring break!</em></font><br />
|- <br />
| bgcolor="#E0E0E0"| Mar 27 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 27 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 3 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 3 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 10 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 10 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 17 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 17 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 24 (Thurs.)<br />
| bgcolor="#F0B0B0"| Arul Shankar <br> (Harvard)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 24 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 1 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#May 1 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 8 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#May 8 | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Also of interest is the [[NTSGrad|Grad student seminar]] which meets on Tuesdays.<br><br />
Last semester's seminar page is [[NTS Fall 2013|here]].<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTSGrad&diff=6410NTSGrad2014-01-21T15:25:15Z<p>Rharron: redirect to Spring 2014</p>
<hr />
<div>#REDIRECT [[NTSGrad Spring 2014]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTSGrad_Spring_2014&diff=6409NTSGrad Spring 20142014-01-21T15:24:52Z<p>Rharron: start page up</p>
<hr />
<div>= Number Theory – Representation Theory Graduate Student Seminar, University of Wisconsin–Madison =<br />
<br />
*'''When:''' Tuesdays, 2:30pm–3:30pm<br />
*'''Where:''' Van Vleck B131<br />
<br />
The purpose of this seminar is to have a talk on each Tuesday by a graduate student to<br />
help orient ourselves for the [[NTS|Number Theory Seminar]] talk on the following Thursday.<br />
These talks should be aimed at beginning graduate students, and should try to <br />
explain some of the background, terminology, and ideas for the Thursday talk. <br />
<br />
== Spring 2014 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|- <br />
| bgcolor="#E0E0E0"| Jan 21 (Tues.)<br />
| bgcolor="#F0B0B0"| No talk<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2014/Abstracts | <font color="black"><em>--</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Jan 28 (Tues.)<br />
| bgcolor="#F0B0B0"| who?<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts | <font color="black"><em>tba</em></font>]]<br />
<!--|- <br />
| bgcolor="#E0E0E0"| Sep 17 (Tues.)<br />
| bgcolor="#F0B0B0"| Daniel Ross<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 17 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 24 (Tues.)<br />
| bgcolor="#F0B0B0"| Brandon Alberts<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 24 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 1 (Tues.)<br />
| bgcolor="#F0B0B0"| Who?<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 1 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 8 (Tues.)<br />
| bgcolor="#F0B0B0"| Megan Maguire<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 8 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 15 (Tues.)<br />
| bgcolor="#F0B0B0"| Lalit Jain<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 15 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 22 (Tues.)<br />
| bgcolor="#F0B0B0"| Yueke Hu<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 2 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 29 (Tues.)<br />
| bgcolor="#F0B0B0"| Vlad Matei<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 29 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Nov 5 (Tues.)<br />
| bgcolor="#F0B0B0"| Who?<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 5 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Nov 12 (Tues.)<br />
| bgcolor="#F0B0B0"| Evan Dummit<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 12| <font color="black"><em>Counting extensions of number fields of given degree, bounded (rho)-discriminant, and specified Galois closure</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Nov 19 (Tues.)<br />
| bgcolor="#F0B0B0"| Daniel Hast<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 19 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Nov 26 (Tues.)<br />
| bgcolor="#F0B0B0"| '''No talk''' – Number Theory Seminar instead!<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 26 | <font color="black"><em>–</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Dec 3 (Tues.)<br />
| bgcolor="#F0B0B0"| Who?<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#December 3 | <font color="black"><em>tba</em></font>]]<br />
<br />
|- <br />
| bgcolor="#E0E0E0"| Dec 10 (Tues.)<br />
| bgcolor="#F0B0B0"| Yihe Dong<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#December 10 | <font color="black"><em>tba</em></font>]]<br />
--><br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
== Organizers ==<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
The Fall 2013 NTS Grad page can be found [[NTSGrad Fall 2013|here]].<br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2014&diff=6408NTS Spring 20142014-01-21T15:21:41Z<p>Rharron: /* Number Theory – Representation Theory Seminar, University of Wisconsin–Madison */ room: VV B131</p>
<hr />
<div>= Number Theory – Representation Theory Seminar, University of Wisconsin–Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30pm–3:30pm.<br />
*'''Where:''' Van Vleck B131<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 />
= Spring 2014 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| Jan 23 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://homepages.math.uic.edu/~hadian/ Majid Hadian-Jazi] <br> (University of Illinois at Chicago)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#January 23 | <font color="black"><em>On a motivic method in Diophantine geometry</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Jan 30 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.maths.usyd.edu.au/u/afish/ Alexander Fish] <br> (University of Sydney, Australia)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#January 30 | <font color="black"><em>Ergodic Plunnecke inequalities with applications to sumsets of infinite sets in countable abelian groups</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 6 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 6 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 13 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.dartmouth.edu/~jvoight/ John Voight]<br> (Dartmouth)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 13 | <font color="black"><em>Numerical calculation of three-point branched covers of the projective line</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 20 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 20 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 27 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.mit.edu/~jmypark/ Jennifer Park] <br> (MIT)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 27 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 6 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 6 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 13 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 13 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 20 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk <br> Spring break!<br />
| bgcolor="#BCE2FE"| <font color="black"><em>Spring break!</em></font><br />
|- <br />
| bgcolor="#E0E0E0"| Mar 27 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 27 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 3 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 3 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 10 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 10 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 17 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 17 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 24 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 24 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 1 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#May 1 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 8 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#May 8 | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Also of interest is the [[NTSGrad|Grad student seminar]] which meets on Tuesdays.<br><br />
Last semester's seminar page is [[NTS Fall 2013|here]].<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2014&diff=6315NTS Spring 20142014-01-05T18:12:38Z<p>Rharron: /* Spring 2014 Semester */ add John Voight to Feb 13</p>
<hr />
<div>= Number Theory – Representation Theory Seminar, University of Wisconsin–Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30pm–3:30pm.<br />
*'''Where:''' tbd<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 />
= Spring 2014 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| Jan 23 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#January 23 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Jan 30 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#January 30 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 6 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 6 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 13 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.dartmouth.edu/~jvoight/ John Voight]<br> (Dartmouth)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 13 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 20 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 20 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 27 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#February 27 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 6 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 6 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 13 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 13 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 20 (Thurs.)<br />
| bgcolor="#F0B0B0"| No talk <br> Spring break!<br />
| bgcolor="#BCE2FE"| <font color="black"><em>Spring break!</em></font><br />
|- <br />
| bgcolor="#E0E0E0"| Mar 27 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#March 27 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 3 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 3 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 10 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 10 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 17 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 17 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 24 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#April 24 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 1 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#May 1 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 8 (Thurs.)<br />
| bgcolor="#F0B0B0"| who? <br> (where?)<br />
| bgcolor="#BCE2FE"| [[NTS Spring 2014/Abstracts#May 8 | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Also of interest is the [[NTSGrad|Grad student seminar]] which meets on Tuesdays.<br><br />
Last semester's seminar page is [[NTS Fall 2013|here]].<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS&diff=6314NTS2014-01-05T18:10:57Z<p>Rharron: redirect to Spring 2014</p>
<hr />
<div>#REDIRECT [[NTS Spring 2014]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Fall_2013/Abstracts&diff=6290NTS Fall 2013/Abstracts2013-11-19T20:05:57Z<p>Rharron: add title and abstract for Daniel Kane</p>
<hr />
<div>== September 5 ==<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%" | '''Guillermo Mantilla-Soler''' (EPFL)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The spinor genus of the integral trace and local arithmetic equivalence<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: In this talk I'll explain my recent results on the spinor genus of the integral trace form of a number field. I'll show how from them one can decide in terms of finitely many ramification invariants, and under some restrictions, whether or not a pair of number fields have isometric integral trace forms. Inspired by the work of R. Perlis on number fields with the same zeta function I'll define the notion of local arithmetic equivalence, and I'll show that under certain hypothesis this equivalence determines the local root numbers of the number field, and the isometry class of integral trace form.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== September 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%" | '''Simon Marshall''' (Northwestern)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Endoscopy and cohomology growth on U(3)<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will use the endoscopic classification of automorphic forms on U(3) to determine the asymptotic cohomology growth of families of complex-hyperbolic 2-manifolds.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== September 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%" | '''Valerio Toledano Laredo''' (Northeastern)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: From Yangians to quantum loop algebras via abelian difference equations<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: For a semisimple Lie algebra ''g'', the quantum loop algebra<br />
and the Yangian are deformations of the loop algebra ''g''[''z,&nbsp;''z&nbsp;&minus;&nbsp;1]<br />
and the current algebra ''g''[''u''], respectively. These infinite-dimensional<br />
quantum groups share many common features, though a<br />
precise explanation of these similarities has been missing<br />
so far.<br />
<br />
In this talk, I will explain how to construct a functor between<br />
the finite-dimensional representation categories of these<br />
two Hopf algebras which accounts for all known similarities<br />
between them.<br />
<br />
The functor is transcendental in nature, and is obtained from<br />
the discrete monodromy of an abelian difference equation<br />
canonically associated to the Yangian.<br />
<br />
This talk is based on a joint work with Sachin Gautam.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== September 26 ==<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%" | '''Haluk Şengün''' (Warwick/ICERM)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Torsion homology of Bianchi groups and arithmetic<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Bianchi groups are groups of the form ''SL''(2,&nbsp;''R'') where ''R'' is the ring of integers of an imaginary quadratic field. They form an important class of arithmetic Kleinian groups and moreover they hold a key role for the development of the Langlands program for ''GL''(2) beyond totally real fields.<br />
<br />
In this talk, I will discuss several interesting questions related to the torsion in the homology of Bianchi groups. I will especially focus on the recent results on the asymptotic behavior of the size of torsion, and the reciprocity and functoriality (in the sense of the Langlands program) aspects of the torsion. Joint work with N.&nbsp;Bergeron and A.&nbsp;Venkatesh on the cycle complexity of arithmetic manifolds will be discussed at the end.<br />
<br />
The discussion will be illustrated with many numerical examples.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Andrew Bridy''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The Artin–Mazur zeta function of a Lattes map in positive characteristic<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: The Artin–Mazur zeta function of a dynamical system is a generating function that captures information about its periodic points. In characteristic zero, the zeta function of a rational map from '''P'''<sup>1</sup> to '''P'''<sup>1</sup> is known to always be a rational function. In positive characteristic, the situation is much less clear. Lattes maps are rational maps on '''P'''<sup>1</sup> that are finite quotients of endomorphisms of elliptic curves, and they have many interesting dynamical properties related to the geometry and arithmetic of elliptic curves. I show that the zeta function of a separable Lattes map in positive characteristic is a transcendental function.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Bogdan Petrenko''' (Eastern Illinois University)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Generating an algebra from the probabilistic standpoint<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Let ''A'' be a ring whose additive group is free Abelian of finite<br />
rank. The topic of this talk is the following question: what is the<br />
probability that several random elements of ''A'' generate it as a ring? After<br />
making this question precise, I will show that it has an interesting<br />
answer which can be interpreted as a local-global principle. Some<br />
applications will be discussed. This talk will be based on my joint work<br />
with Rostyslav Kravchenko (University of Chicago) and Marcin Mazur<br />
(Binghamton University).<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 17 ==<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%" | '''Anthony Várilly-Alvarado''' (Rice)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Arithmetic of del Pezzo surfaces of degree 4 and vertical Brauer groups<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Del Pezzo surfaces X of degree 4 are smooth (complete) intersections of two quadrics in four-dimensional projective space. They are some of the simplest surfaces for which there can be cohomological obstructions to the existence of rational points, mediated by the Brauer group Br X of the surface. I will explain how to construct, for every non-trivial, non-constant element A of Br X, a rational genus-one fibration X --> P^1 such that A is "vertical" for this map. This implies, for example, that if there is a cohomological obstruction to the existence of a point on X, then there is a genus-one fibration X --> P^1 where none of the fibers are locally soluble, giving a concrete, geometric way of "seeing" a Brauer-Manin obstruction. The construction also gives a fast, practical algorithm for computing the Brauer group of X. Conjecturally, this gives a mechanical way of testing for the existence of rational points on these surfaces. This is joint work with Bianca Viray.<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Paul Garrett''' (Minnesota)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Spectra of pseudo-Laplacians on spaces of automorphic forms<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Faddeev–Pavlov and Lax–Phillips observed that certain<br />
restrictions of the Laplacian to parts of automorphic continuous<br />
spectrum have discrete spectrum. Colin de Verdiere used this to prove<br />
meromorphic continuation of Eisenstein series, and proposed ways to<br />
exploit this idea to construct self-adjoint operators with spectra<br />
related to zeros of ''L''-functions. We show that simple forms of this<br />
construction produce at most very sparse spectra, due to<br />
incompatibility with pair correlations for zeros. Ways around some of<br />
the obstacles are sketched. (Joint with E. Bombieri.)<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Jerry Wang''' (Princeton)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Pencils of quadrics and the arithmetic of hyperelliptic curves<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: In recent joint works with Manjul Bhargava and Benedict Gross, we showed that a positive proportion of hyperelliptic curves over '''Q''' of genus ''g'' have no points over any odd degree extension of '''Q'''. This is done by computing certain 2-Selmer averages and applying a result of Dokchitser–Dokchitser on the parity of the rank of the 2-Selmer groups in biquadratic twists. In this talk, we will see how arithmetic invariant theory and the geometric theory of pencils of quadrics are used to obtain the 2-Selmer averages.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 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%" | '''who?''' (where?)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 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%" | '''Evan Dummit''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Counting extensions of number fields of given degree, bounded (rho)-discriminant, and specified Galois closure<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: A very basic question in algebraic number theory is: how many number fields are there? A natural way to order the fields of a fixed degree n is by discriminant, and classical results of Minkowski then assure us that there are only finitely many fields with a given discriminant. We are also often interested in counting number fields, or relative extensions, with other properties, such as having a particular Galois closure. A folk conjecture sometimes attributed to Linnik states that the number of extensions of degree n and absolute discriminant less than X is on the order of X. A great deal of recent and ongoing work has been focused towards achieving upper bounds on counts of this nature (quite successfully, in degree 5 and lower), but there is comparatively little known in higher degrees, for relative extensions, or for sufficiently complicated Galois closures: the primary results are those of Schmidt and Ellenberg-Venkatesh. I will discuss these results and my thesis work, in which I generalize several of their results and introduce another counting metric, the "rho-discriminant". <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 21 ==<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 Lipnowski''' (Duke)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" |<br />
Abstract: tba<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 26 ==<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%" | '''Daniel Kane''' (Stanford)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Diffuse decompositions of polynomials<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: We study some problems relating to polynomials evaluated<br />
either at random Gaussian or random Bernoulli inputs. We present some<br />
new work on a structure theorem for degree-''d'' polynomials with Gaussian<br />
inputs. In particular, if ''p'' is a given degree-''d'' polynomial, then ''p''<br />
can be written in terms of some bounded number of other polynomials<br />
''q''<sub>1</sub>, ..., ''q''<sub>''m''</sub> so that the joint probability density function of<br />
''q''<sub>1</sub>(''G''), ..., ''q''<sub>''m''</sub>(''G'') is close to being bounded. This says essentially<br />
that any abnormalities in the distribution of ''p''(''G'') can be explained by<br />
the way in which ''p'' decomposes into the ''q''<sub>''i''</sub>. We then present some<br />
applications of this result. <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== December 5 ==<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%" | '''Jennifer Park''' (MIT)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== December 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%" | '''Vivek Shende''' (Berkeley)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Equidistribution on the space of rank two vector bundles over the projective line<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will discuss how the algebraic geometry of hyperelliptic curves gives an approach to a function field analogue of the 'mixing conjecture' of Michel and Venkatesh. (For a rather longer abstract, see the [http://arxiv.org/abs/1307.8237 arxiv posting] of the same name as the talk). This talk presents joint work with Jacob Tsimerman. <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== Organizer contact information ==<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Fall_2013&diff=6289NTS Fall 20132013-11-19T19:57:38Z<p>Rharron: /* Fall 2013 Semester */ add Daniel Kane</p>
<hr />
<div>= Number Theory – Representation Theory Seminar, University of Wisconsin–Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30pm–3:30pm.<br />
*'''Where:''' Van Vleck B105<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 />
= Fall 2013 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| Sep 5 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://alg-geo.epfl.ch/~mantilla/ Guillermo Mantilla-Soler] <br> (EPFL)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 5 | <font color="black"><em>The spinor genus of the integral trace and local arithmetic equivalence</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 12 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.northwestern.edu/~slm/ Simon Marshall] <br> (Northwestern)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 12 | <font color="black"><em>Endoscopy and cohomology growth on ''U''(3)</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 19 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.neu.edu/people/profile/valerio-toledano-laredo Valerio Toledano Laredo] <br> (Northeastern)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 19 | <font color="black"><em>From Yangians to quantum loop algebras via abelian difference equations</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 26 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://homepages.warwick.ac.uk/~maslao/ Haluk Şengün] <br> (Warwick/ICERM)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 26 | <font color="black"><em>Torsion homology of Bianchi groups and arithmetic</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 3 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~bridy/ Andrew Bridy] <br> (Madison)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 3 | <font color="black"><em>The Artin–Mazur zeta function of a Lattes map in positive characteristic</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 10 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://ux1.eiu.edu/~bvpetrenko/ Bogdan Petrenko] <br> (Eastern Illinois University)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 10 | <font color="black"><em>Generating an algebra from the probabilistic standpoint</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 17 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.rice.edu/~av15/ Anthony Várilly-Alvarado] <br> (Rice University)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 17 | <font color="black"><em>Arithmetic of del Pezzo surfaces of degree 4 and vertical Brauer groups</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 24 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.umn.edu/~garrett/ Paul Garrett]<br> (Minnesota)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 24 | <font color="black"><em>Spectra of pseudo-Laplacians on spaces of automorphic forms</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 31 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.harvard.edu/~xwang/ Jerry Wang] <br> (Princeton)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 31 | <font color="black"><em>Pencils of quadrics and the arithmetic of hyperelliptic curves</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Nov 7 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 7 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Nov 14 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 14 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Nov 21 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.stanford.edu/~malipnow/ Michael Lipnowski]<br> (Duke)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 21 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Nov 26 (Tues.) '''Special day!'''<br />
| bgcolor="#F0B0B0"| [http://math.stanford.edu/~dankane/ Daniel Kane] <br>(Stanford)<br />
| bgcolor="#BCE2FE"| [[NTS Fall 2013/Abstracts#November 26 | <font color="black"><em>Diffuse decompositions of polynomials</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Nov 28 (Thurs.)<br />
| bgcolor="#F0B0B0"| No seminar <br>(Thanksgiving)<br />
| bgcolor="#BCE2FE"| <font color="black"><em>Thanksgiving break!</em></font><br />
|- <br />
| bgcolor="#E0E0E0"| Dec 5 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.mit.edu/~jmypark/ Jennifer Park]<br> (MIT)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#December 5 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Dec 12 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.berkeley.edu/~vivek/ Vivek Shende] <br> (Berkeley)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#December 12 | <font color="black"><em>Equidistribution on the space of rank two vector bundles over the projective line</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Also of interest is the [[NTSGrad|Grad student seminar]] which meets on Tuesdays.<br><br />
Last semester's seminar page is [[NTS Spring 2013|here]].<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTSGrad_Fall_2013&diff=6288NTSGrad Fall 20132013-11-19T19:53:49Z<p>Rharron: /* Fall 2013 Semester */ alter next week</p>
<hr />
<div>= Number Theory – Representation Theory Graduate Student Seminar, University of Wisconsin–Madison =<br />
<br />
*'''When:''' Tuesdays, 2:30pm–3:30pm<br />
*'''Where:''' Van Vleck B105<br />
<br />
The purpose of this seminar is to have a talk on each Tuesday by a graduate student to<br />
help orient ourselves for the [[NTS|Number Theory Seminar]] talk on the following Thursday.<br />
These talks should be aimed at beginning graduate students, and should try to <br />
explain some of the background, terminology, and ideas for the Thursday talk. <br />
<br />
== Fall 2013 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 3 (Tues.)<br />
| bgcolor="#F0B0B0"| Evan Dummit<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 3 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 10 (Tues.)<br />
| bgcolor="#F0B0B0"| Marci Hablicsek<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 10 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 17 (Tues.)<br />
| bgcolor="#F0B0B0"| Daniel Ross<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 17 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 24 (Tues.)<br />
| bgcolor="#F0B0B0"| Brandon Alberts<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 24 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 1 (Tues.)<br />
| bgcolor="#F0B0B0"| Who?<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 1 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 8 (Tues.)<br />
| bgcolor="#F0B0B0"| Megan Maguire<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 8 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 15 (Tues.)<br />
| bgcolor="#F0B0B0"| Lalit Jain<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 15 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 22 (Tues.)<br />
| bgcolor="#F0B0B0"| Yueke Hu<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 2 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 29 (Tues.)<br />
| bgcolor="#F0B0B0"| Vlad Matei<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 29 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Nov 5 (Tues.)<br />
| bgcolor="#F0B0B0"| Who?<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 5 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Nov 12 (Tues.)<br />
| bgcolor="#F0B0B0"| Evan Dummit<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 12| <font color="black"><em>Counting extensions of number fields of given degree, bounded (rho)-discriminant, and specified Galois closure</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Nov 19 (Tues.)<br />
| bgcolor="#F0B0B0"| Daniel Hast<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 19 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Nov 26 (Tues.)<br />
| bgcolor="#F0B0B0"| '''No talk''' – Number Theory Seminar instead!<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 26 | <font color="black"><em>–</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Dec 3 (Tues.)<br />
| bgcolor="#F0B0B0"| Who?<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#December 3 | <font color="black"><em>tba</em></font>]]<br />
<br />
|- <br />
| bgcolor="#E0E0E0"| Dec 10 (Tues.)<br />
| bgcolor="#F0B0B0"| Yihe Dong<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#December 10 | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
== Organizers ==<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
The Spring 2013 NTS Grad page can be found [[NTSGrad Spring 2013|here]].<br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Fall_2013/Abstracts&diff=6262NTS Fall 2013/Abstracts2013-11-12T15:06:24Z<p>Rharron: /* November 11 */ fix</p>
<hr />
<div>== September 5 ==<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%" | '''Guillermo Mantilla-Soler''' (EPFL)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The spinor genus of the integral trace and local arithmetic equivalence<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: In this talk I'll explain my recent results on the spinor genus of the integral trace form of a number field. I'll show how from them one can decide in terms of finitely many ramification invariants, and under some restrictions, whether or not a pair of number fields have isometric integral trace forms. Inspired by the work of R. Perlis on number fields with the same zeta function I'll define the notion of local arithmetic equivalence, and I'll show that under certain hypothesis this equivalence determines the local root numbers of the number field, and the isometry class of integral trace form.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== September 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%" | '''Simon Marshall''' (Northwestern)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Endoscopy and cohomology growth on U(3)<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will use the endoscopic classification of automorphic forms on U(3) to determine the asymptotic cohomology growth of families of complex-hyperbolic 2-manifolds.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== September 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%" | '''Valerio Toledano Laredo''' (Northeastern)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: From Yangians to quantum loop algebras via abelian difference equations<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: For a semisimple Lie algebra ''g'', the quantum loop algebra<br />
and the Yangian are deformations of the loop algebra ''g''[''z,&nbsp;''z&nbsp;&minus;&nbsp;1]<br />
and the current algebra ''g''[''u''], respectively. These infinite-dimensional<br />
quantum groups share many common features, though a<br />
precise explanation of these similarities has been missing<br />
so far.<br />
<br />
In this talk, I will explain how to construct a functor between<br />
the finite-dimensional representation categories of these<br />
two Hopf algebras which accounts for all known similarities<br />
between them.<br />
<br />
The functor is transcendental in nature, and is obtained from<br />
the discrete monodromy of an abelian difference equation<br />
canonically associated to the Yangian.<br />
<br />
This talk is based on a joint work with Sachin Gautam.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== September 26 ==<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%" | '''Haluk Şengün''' (Warwick/ICERM)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Torsion homology of Bianchi groups and arithmetic<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Bianchi groups are groups of the form ''SL''(2,&nbsp;''R'') where ''R'' is the ring of integers of an imaginary quadratic field. They form an important class of arithmetic Kleinian groups and moreover they hold a key role for the development of the Langlands program for ''GL''(2) beyond totally real fields.<br />
<br />
In this talk, I will discuss several interesting questions related to the torsion in the homology of Bianchi groups. I will especially focus on the recent results on the asymptotic behavior of the size of torsion, and the reciprocity and functoriality (in the sense of the Langlands program) aspects of the torsion. Joint work with N.&nbsp;Bergeron and A.&nbsp;Venkatesh on the cycle complexity of arithmetic manifolds will be discussed at the end.<br />
<br />
The discussion will be illustrated with many numerical examples.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Andrew Bridy''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The Artin–Mazur zeta function of a Lattes map in positive characteristic<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: The Artin–Mazur zeta function of a dynamical system is a generating function that captures information about its periodic points. In characteristic zero, the zeta function of a rational map from '''P'''<sup>1</sup> to '''P'''<sup>1</sup> is known to always be a rational function. In positive characteristic, the situation is much less clear. Lattes maps are rational maps on '''P'''<sup>1</sup> that are finite quotients of endomorphisms of elliptic curves, and they have many interesting dynamical properties related to the geometry and arithmetic of elliptic curves. I show that the zeta function of a separable Lattes map in positive characteristic is a transcendental function.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Bogdan Petrenko''' (Eastern Illinois University)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Generating an algebra from the probabilistic standpoint<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Let ''A'' be a ring whose additive group is free Abelian of finite<br />
rank. The topic of this talk is the following question: what is the<br />
probability that several random elements of ''A'' generate it as a ring? After<br />
making this question precise, I will show that it has an interesting<br />
answer which can be interpreted as a local-global principle. Some<br />
applications will be discussed. This talk will be based on my joint work<br />
with Rostyslav Kravchenko (University of Chicago) and Marcin Mazur<br />
(Binghamton University).<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 17 ==<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%" | '''Anthony Várilly-Alvarado''' (Rice)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Arithmetic of del Pezzo surfaces of degree 4 and vertical Brauer groups<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Del Pezzo surfaces X of degree 4 are smooth (complete) intersections of two quadrics in four-dimensional projective space. They are some of the simplest surfaces for which there can be cohomological obstructions to the existence of rational points, mediated by the Brauer group Br X of the surface. I will explain how to construct, for every non-trivial, non-constant element A of Br X, a rational genus-one fibration X --> P^1 such that A is "vertical" for this map. This implies, for example, that if there is a cohomological obstruction to the existence of a point on X, then there is a genus-one fibration X --> P^1 where none of the fibers are locally soluble, giving a concrete, geometric way of "seeing" a Brauer-Manin obstruction. The construction also gives a fast, practical algorithm for computing the Brauer group of X. Conjecturally, this gives a mechanical way of testing for the existence of rational points on these surfaces. This is joint work with Bianca Viray.<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Paul Garrett''' (Minnesota)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Spectra of pseudo-Laplacians on spaces of automorphic forms<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Faddeev–Pavlov and Lax–Phillips observed that certain<br />
restrictions of the Laplacian to parts of automorphic continuous<br />
spectrum have discrete spectrum. Colin de Verdiere used this to prove<br />
meromorphic continuation of Eisenstein series, and proposed ways to<br />
exploit this idea to construct self-adjoint operators with spectra<br />
related to zeros of ''L''-functions. We show that simple forms of this<br />
construction produce at most very sparse spectra, due to<br />
incompatibility with pair correlations for zeros. Ways around some of<br />
the obstacles are sketched. (Joint with E. Bombieri.)<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Jerry Wang''' (Princeton)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Pencils of quadrics and the arithmetic of hyperelliptic curves<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: In recent joint works with Manjul Bhargava and Benedict Gross, we showed that a positive proportion of hyperelliptic curves over '''Q''' of genus ''g'' have no points over any odd degree extension of '''Q'''. This is done by computing certain 2-Selmer averages and applying a result of Dokchitser–Dokchitser on the parity of the rank of the 2-Selmer groups in biquadratic twists. In this talk, we will see how arithmetic invariant theory and the geometric theory of pencils of quadrics are used to obtain the 2-Selmer averages.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 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%" | '''who?''' (where?)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 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%" | '''Evan Dummit''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Counting extensions of number fields of given degree, bounded (rho)-discriminant, and specified Galois closure<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: A very basic question in algebraic number theory is: how many number fields are there? A natural way to order the fields of a fixed degree n is by discriminant, and classical results of Minkowski then assure us that there are only finitely many fields with a given discriminant. We are also often interested in counting number fields, or relative extensions, with other properties, such as having a particular Galois closure. A folk conjecture sometimes attributed to Linnik states that the number of extensions of degree n and absolute discriminant less than X is on the order of X. A great deal of recent and ongoing work has been focused towards achieving upper bounds on counts of this nature (quite successfully, in degree 5 and lower), but there is comparatively little known in higher degrees, for relative extensions, or for sufficiently complicated Galois closures: the primary results are those of Schmidt and Ellenberg-Venkatesh. I will discuss these results and my thesis work, in which I generalize several of their results and introduce another counting metric, the "rho-discriminant". <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 21 ==<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 Lipnowski''' (Duke)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" |<br />
Abstract: tba<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== December 5 ==<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%" | '''Jennifer Park''' (MIT)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== December 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%" | '''Vivek Shende''' (Berkeley)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Equidistribution on the space of rank two vector bundles over the projective line<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will discuss how the algebraic geometry of hyperelliptic curves gives an approach to a function field analogue of the 'mixing conjecture' of Michel and Venkatesh. (For a rather longer abstract, see the [http://arxiv.org/abs/1307.8237 arxiv posting] of the same name as the talk). This talk presents joint work with Jacob Tsimerman. <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== Organizer contact information ==<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Fall_2013/Abstracts&diff=6261NTS Fall 2013/Abstracts2013-11-12T15:05:32Z<p>Rharron: evan</p>
<hr />
<div>== September 5 ==<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%" | '''Guillermo Mantilla-Soler''' (EPFL)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The spinor genus of the integral trace and local arithmetic equivalence<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: In this talk I'll explain my recent results on the spinor genus of the integral trace form of a number field. I'll show how from them one can decide in terms of finitely many ramification invariants, and under some restrictions, whether or not a pair of number fields have isometric integral trace forms. Inspired by the work of R. Perlis on number fields with the same zeta function I'll define the notion of local arithmetic equivalence, and I'll show that under certain hypothesis this equivalence determines the local root numbers of the number field, and the isometry class of integral trace form.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== September 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%" | '''Simon Marshall''' (Northwestern)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Endoscopy and cohomology growth on U(3)<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will use the endoscopic classification of automorphic forms on U(3) to determine the asymptotic cohomology growth of families of complex-hyperbolic 2-manifolds.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== September 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%" | '''Valerio Toledano Laredo''' (Northeastern)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: From Yangians to quantum loop algebras via abelian difference equations<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: For a semisimple Lie algebra ''g'', the quantum loop algebra<br />
and the Yangian are deformations of the loop algebra ''g''[''z,&nbsp;''z&nbsp;&minus;&nbsp;1]<br />
and the current algebra ''g''[''u''], respectively. These infinite-dimensional<br />
quantum groups share many common features, though a<br />
precise explanation of these similarities has been missing<br />
so far.<br />
<br />
In this talk, I will explain how to construct a functor between<br />
the finite-dimensional representation categories of these<br />
two Hopf algebras which accounts for all known similarities<br />
between them.<br />
<br />
The functor is transcendental in nature, and is obtained from<br />
the discrete monodromy of an abelian difference equation<br />
canonically associated to the Yangian.<br />
<br />
This talk is based on a joint work with Sachin Gautam.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== September 26 ==<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%" | '''Haluk Şengün''' (Warwick/ICERM)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Torsion homology of Bianchi groups and arithmetic<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Bianchi groups are groups of the form ''SL''(2,&nbsp;''R'') where ''R'' is the ring of integers of an imaginary quadratic field. They form an important class of arithmetic Kleinian groups and moreover they hold a key role for the development of the Langlands program for ''GL''(2) beyond totally real fields.<br />
<br />
In this talk, I will discuss several interesting questions related to the torsion in the homology of Bianchi groups. I will especially focus on the recent results on the asymptotic behavior of the size of torsion, and the reciprocity and functoriality (in the sense of the Langlands program) aspects of the torsion. Joint work with N.&nbsp;Bergeron and A.&nbsp;Venkatesh on the cycle complexity of arithmetic manifolds will be discussed at the end.<br />
<br />
The discussion will be illustrated with many numerical examples.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Andrew Bridy''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The Artin–Mazur zeta function of a Lattes map in positive characteristic<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: The Artin–Mazur zeta function of a dynamical system is a generating function that captures information about its periodic points. In characteristic zero, the zeta function of a rational map from '''P'''<sup>1</sup> to '''P'''<sup>1</sup> is known to always be a rational function. In positive characteristic, the situation is much less clear. Lattes maps are rational maps on '''P'''<sup>1</sup> that are finite quotients of endomorphisms of elliptic curves, and they have many interesting dynamical properties related to the geometry and arithmetic of elliptic curves. I show that the zeta function of a separable Lattes map in positive characteristic is a transcendental function.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Bogdan Petrenko''' (Eastern Illinois University)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Generating an algebra from the probabilistic standpoint<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Let ''A'' be a ring whose additive group is free Abelian of finite<br />
rank. The topic of this talk is the following question: what is the<br />
probability that several random elements of ''A'' generate it as a ring? After<br />
making this question precise, I will show that it has an interesting<br />
answer which can be interpreted as a local-global principle. Some<br />
applications will be discussed. This talk will be based on my joint work<br />
with Rostyslav Kravchenko (University of Chicago) and Marcin Mazur<br />
(Binghamton University).<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 17 ==<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%" | '''Anthony Várilly-Alvarado''' (Rice)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Arithmetic of del Pezzo surfaces of degree 4 and vertical Brauer groups<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Del Pezzo surfaces X of degree 4 are smooth (complete) intersections of two quadrics in four-dimensional projective space. They are some of the simplest surfaces for which there can be cohomological obstructions to the existence of rational points, mediated by the Brauer group Br X of the surface. I will explain how to construct, for every non-trivial, non-constant element A of Br X, a rational genus-one fibration X --> P^1 such that A is "vertical" for this map. This implies, for example, that if there is a cohomological obstruction to the existence of a point on X, then there is a genus-one fibration X --> P^1 where none of the fibers are locally soluble, giving a concrete, geometric way of "seeing" a Brauer-Manin obstruction. The construction also gives a fast, practical algorithm for computing the Brauer group of X. Conjecturally, this gives a mechanical way of testing for the existence of rational points on these surfaces. This is joint work with Bianca Viray.<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Paul Garrett''' (Minnesota)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Spectra of pseudo-Laplacians on spaces of automorphic forms<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Faddeev–Pavlov and Lax–Phillips observed that certain<br />
restrictions of the Laplacian to parts of automorphic continuous<br />
spectrum have discrete spectrum. Colin de Verdiere used this to prove<br />
meromorphic continuation of Eisenstein series, and proposed ways to<br />
exploit this idea to construct self-adjoint operators with spectra<br />
related to zeros of ''L''-functions. We show that simple forms of this<br />
construction produce at most very sparse spectra, due to<br />
incompatibility with pair correlations for zeros. Ways around some of<br />
the obstacles are sketched. (Joint with E. Bombieri.)<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Jerry Wang''' (Princeton)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Pencils of quadrics and the arithmetic of hyperelliptic curves<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: In recent joint works with Manjul Bhargava and Benedict Gross, we showed that a positive proportion of hyperelliptic curves over '''Q''' of genus ''g'' have no points over any odd degree extension of '''Q'''. This is done by computing certain 2-Selmer averages and applying a result of Dokchitser–Dokchitser on the parity of the rank of the 2-Selmer groups in biquadratic twists. In this talk, we will see how arithmetic invariant theory and the geometric theory of pencils of quadrics are used to obtain the 2-Selmer averages.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 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%" | '''who?''' (where?)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 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%" | '''Evan Dummit''' (where?)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Counting extensions of number fields of given degree, bounded (rho)-discriminant, and specified Galois closure<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: A very basic question in algebraic number theory is: how many number fields are there? A natural way to order the fields of a fixed degree n is by discriminant, and classical results of Minkowski then assure us that there are only finitely many fields with a given discriminant. We are also often interested in counting number fields, or relative extensions, with other properties, such as having a particular Galois closure. A folk conjecture sometimes attributed to Linnik states that the number of extensions of degree n and absolute discriminant less than X is on the order of X. A great deal of recent and ongoing work has been focused towards achieving upper bounds on counts of this nature (quite successfully, in degree 5 and lower), but there is comparatively little known in higher degrees, for relative extensions, or for sufficiently complicated Galois closures: the primary results are those of Schmidt and Ellenberg-Venkatesh. I will discuss these results and my thesis work, in which I generalize several of their results and introduce another counting metric, the "rho-discriminant". <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 21 ==<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 Lipnowski''' (Duke)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" |<br />
Abstract: tba<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== December 5 ==<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%" | '''Jennifer Park''' (MIT)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== December 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%" | '''Vivek Shende''' (Berkeley)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Equidistribution on the space of rank two vector bundles over the projective line<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will discuss how the algebraic geometry of hyperelliptic curves gives an approach to a function field analogue of the 'mixing conjecture' of Michel and Venkatesh. (For a rather longer abstract, see the [http://arxiv.org/abs/1307.8237 arxiv posting] of the same name as the talk). This talk presents joint work with Jacob Tsimerman. <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== Organizer contact information ==<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTSGrad_Fall_2013&diff=6260NTSGrad Fall 20132013-11-12T15:01:19Z<p>Rharron: /* Fall 2013 Semester */ add title for evan's talk</p>
<hr />
<div>= Number Theory – Representation Theory Graduate Student Seminar, University of Wisconsin–Madison =<br />
<br />
*'''When:''' Tuesdays, 2:30pm–3:30pm<br />
*'''Where:''' Van Vleck B105<br />
<br />
The purpose of this seminar is to have a talk on each Tuesday by a graduate student to<br />
help orient ourselves for the [[NTS|Number Theory Seminar]] talk on the following Thursday.<br />
These talks should be aimed at beginning graduate students, and should try to <br />
explain some of the background, terminology, and ideas for the Thursday talk. <br />
<br />
== Fall 2013 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 3 (Tues.)<br />
| bgcolor="#F0B0B0"| Evan Dummit<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 3 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 10 (Tues.)<br />
| bgcolor="#F0B0B0"| Marci Hablicsek<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 10 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 17 (Tues.)<br />
| bgcolor="#F0B0B0"| Daniel Ross<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 17 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 24 (Tues.)<br />
| bgcolor="#F0B0B0"| Brandon Alberts<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 24 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 1 (Tues.)<br />
| bgcolor="#F0B0B0"| Who?<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 1 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 8 (Tues.)<br />
| bgcolor="#F0B0B0"| Megan Maguire<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 8 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 15 (Tues.)<br />
| bgcolor="#F0B0B0"| Lalit Jain<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 15 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 22 (Tues.)<br />
| bgcolor="#F0B0B0"| Yueke Hu<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 2 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 29 (Tues.)<br />
| bgcolor="#F0B0B0"| Vlad Matei<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 29 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Nov 5 (Tues.)<br />
| bgcolor="#F0B0B0"| Who?<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 5 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Nov 12 (Tues.)<br />
| bgcolor="#F0B0B0"| Evan Dummit<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 12| <font color="black"><em>Counting extensions of number fields of given degree, bounded (rho)-discriminant, and specified Galois closure</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Nov 19 (Tues.)<br />
| bgcolor="#F0B0B0"| Daniel Hast<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 19 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Nov 26 (Tues.)<br />
| bgcolor="#F0B0B0"| Silas Johnson<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 26 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Dec 3 (Tues.)<br />
| bgcolor="#F0B0B0"| Who?<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#December 3 | <font color="black"><em>tba</em></font>]]<br />
<br />
|- <br />
| bgcolor="#E0E0E0"| Dec 10 (Tues.)<br />
| bgcolor="#F0B0B0"| Yihe Dong<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#December 10 | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
== Organizers ==<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
The Spring 2013 NTS Grad page can be found [[NTSGrad Spring 2013|here]].<br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTSGrad_Fall_2013&diff=6247NTSGrad Fall 20132013-11-08T17:40:00Z<p>Rharron: /* Fall 2013 Semester */ add Evan for next Tuesday</p>
<hr />
<div>= Number Theory – Representation Theory Graduate Student Seminar, University of Wisconsin–Madison =<br />
<br />
*'''When:''' Tuesdays, 2:30pm–3:30pm<br />
*'''Where:''' Van Vleck B105<br />
<br />
The purpose of this seminar is to have a talk on each Tuesday by a graduate student to<br />
help orient ourselves for the [[NTS|Number Theory Seminar]] talk on the following Thursday.<br />
These talks should be aimed at beginning graduate students, and should try to <br />
explain some of the background, terminology, and ideas for the Thursday talk. <br />
<br />
== Fall 2013 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 3 (Tues.)<br />
| bgcolor="#F0B0B0"| Evan Dummit<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 3 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 10 (Tues.)<br />
| bgcolor="#F0B0B0"| Marci Hablicsek<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 10 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 17 (Tues.)<br />
| bgcolor="#F0B0B0"| Daniel Ross<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 17 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 24 (Tues.)<br />
| bgcolor="#F0B0B0"| Brandon Alberts<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 24 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 1 (Tues.)<br />
| bgcolor="#F0B0B0"| Who?<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 1 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 8 (Tues.)<br />
| bgcolor="#F0B0B0"| Megan Maguire<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 8 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 15 (Tues.)<br />
| bgcolor="#F0B0B0"| Lalit Jain<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 15 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 22 (Tues.)<br />
| bgcolor="#F0B0B0"| Yueke Hu<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 2 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 29 (Tues.)<br />
| bgcolor="#F0B0B0"| Vlad Matei<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 29 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Nov 5 (Tues.)<br />
| bgcolor="#F0B0B0"| Who?<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 5 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Nov 12 (Tues.)<br />
| bgcolor="#F0B0B0"| Evan Dummit<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 12| <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Nov 19 (Tues.)<br />
| bgcolor="#F0B0B0"| Daniel Hast<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 19 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Nov 26 (Tues.)<br />
| bgcolor="#F0B0B0"| Silas Johnson<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 26 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Dec 3 (Tues.)<br />
| bgcolor="#F0B0B0"| Who?<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#December 3 | <font color="black"><em>tba</em></font>]]<br />
<br />
|- <br />
| bgcolor="#E0E0E0"| Dec 10 (Tues.)<br />
| bgcolor="#F0B0B0"| Yihe Dong<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#December 10 | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
== Organizers ==<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
The Spring 2013 NTS Grad page can be found [[NTSGrad Spring 2013|here]].<br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTSGrad_Fall_2013&diff=6145NTSGrad Fall 20132013-10-24T04:45:10Z<p>Rharron: /* Fall 2013 Semester */ add Daniel Hast to nov 19</p>
<hr />
<div>= Number Theory – Representation Theory Graduate Student Seminar, University of Wisconsin–Madison =<br />
<br />
*'''When:''' Tuesdays, 2:30pm–3:30pm<br />
*'''Where:''' Van Vleck B105<br />
<br />
The purpose of this seminar is to have a talk on each Tuesday by a graduate student to<br />
help orient ourselves for the [[NTS|Number Theory Seminar]] talk on the following Thursday.<br />
These talks should be aimed at beginning graduate students, and should try to <br />
explain some of the background, terminology, and ideas for the Thursday talk. <br />
<br />
== Fall 2013 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 3 (Tues.)<br />
| bgcolor="#F0B0B0"| Evan Dummit<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 3 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 10 (Tues.)<br />
| bgcolor="#F0B0B0"| Marci Hablicsek<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 10 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 17 (Tues.)<br />
| bgcolor="#F0B0B0"| Daniel Ross<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 17 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 24 (Tues.)<br />
| bgcolor="#F0B0B0"| Brandon Alberts<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 24 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 1 (Tues.)<br />
| bgcolor="#F0B0B0"| Who?<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 1 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 8 (Tues.)<br />
| bgcolor="#F0B0B0"| Megan Maguire<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 8 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 15 (Tues.)<br />
| bgcolor="#F0B0B0"| Lalit Jain<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 15 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 22 (Tues.)<br />
| bgcolor="#F0B0B0"| Yueke Hu<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 2 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 29 (Tues.)<br />
| bgcolor="#F0B0B0"| Vlad Matei<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 29 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Nov 5 (Tues.)<br />
| bgcolor="#F0B0B0"| Who?<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 5 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Nov 12 (Tues.)<br />
| bgcolor="#F0B0B0"| Who?<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 12| <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Nov 19 (Tues.)<br />
| bgcolor="#F0B0B0"| Daniel Hast<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 19 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Nov 26 (Tues.)<br />
| bgcolor="#F0B0B0"| Silas Johnson<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 26 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Dec 3 (Tues.)<br />
| bgcolor="#F0B0B0"| Who?<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#December 3 | <font color="black"><em>tba</em></font>]]<br />
<br />
|- <br />
| bgcolor="#E0E0E0"| Dec 10 (Tues.)<br />
| bgcolor="#F0B0B0"| Yihe Dong<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#December 10 | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
== Organizers ==<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
The Spring 2013 NTS Grad page can be found [[NTSGrad Spring 2013|here]].<br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Fall_2013/Abstracts&diff=6113NTS Fall 2013/Abstracts2013-10-18T01:50:00Z<p>Rharron: /* October 31 */ add title and abstract for Jerry Wang's talk</p>
<hr />
<div>== September 5 ==<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%" | '''Guillermo Mantilla-Soler''' (EPFL)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The spinor genus of the integral trace and local arithmetic equivalence<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: In this talk I'll explain my recent results on the spinor genus of the integral trace form of a number field. I'll show how from them one can decide in terms of finitely many ramification invariants, and under some restrictions, whether or not a pair of number fields have isometric integral trace forms. Inspired by the work of R. Perlis on number fields with the same zeta function I'll define the notion of local arithmetic equivalence, and I'll show that under certain hypothesis this equivalence determines the local root numbers of the number field, and the isometry class of integral trace form.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== September 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%" | '''Simon Marshall''' (Northwestern)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Endoscopy and cohomology growth on U(3)<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will use the endoscopic classification of automorphic forms on U(3) to determine the asymptotic cohomology growth of families of complex-hyperbolic 2-manifolds.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== September 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%" | '''Valerio Toledano Laredo''' (Northeastern)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: From Yangians to quantum loop algebras via abelian difference equations<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: For a semisimple Lie algebra ''g'', the quantum loop algebra<br />
and the Yangian are deformations of the loop algebra ''g''[''z,&nbsp;''z&nbsp;&minus;&nbsp;1]<br />
and the current algebra ''g''[''u''], respectively. These infinite-dimensional<br />
quantum groups share many common features, though a<br />
precise explanation of these similarities has been missing<br />
so far.<br />
<br />
In this talk, I will explain how to construct a functor between<br />
the finite-dimensional representation categories of these<br />
two Hopf algebras which accounts for all known similarities<br />
between them.<br />
<br />
The functor is transcendental in nature, and is obtained from<br />
the discrete monodromy of an abelian difference equation<br />
canonically associated to the Yangian.<br />
<br />
This talk is based on a joint work with Sachin Gautam.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== September 26 ==<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%" | '''Haluk Şengün''' (Warwick/ICERM)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Torsion homology of Bianchi groups and arithmetic<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Bianchi groups are groups of the form ''SL''(2,&nbsp;''R'') where ''R'' is the ring of integers of an imaginary quadratic field. They form an important class of arithmetic Kleinian groups and moreover they hold a key role for the development of the Langlands program for ''GL''(2) beyond totally real fields.<br />
<br />
In this talk, I will discuss several interesting questions related to the torsion in the homology of Bianchi groups. I will especially focus on the recent results on the asymptotic behavior of the size of torsion, and the reciprocity and functoriality (in the sense of the Langlands program) aspects of the torsion. Joint work with N.&nbsp;Bergeron and A.&nbsp;Venkatesh on the cycle complexity of arithmetic manifolds will be discussed at the end.<br />
<br />
The discussion will be illustrated with many numerical examples.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Andrew Bridy''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The Artin–Mazur zeta function of a Lattes map in positive characteristic<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: The Artin–Mazur zeta function of a dynamical system is a generating function that captures information about its periodic points. In characteristic zero, the zeta function of a rational map from '''P'''<sup>1</sup> to '''P'''<sup>1</sup> is known to always be a rational function. In positive characteristic, the situation is much less clear. Lattes maps are rational maps on '''P'''<sup>1</sup> that are finite quotients of endomorphisms of elliptic curves, and they have many interesting dynamical properties related to the geometry and arithmetic of elliptic curves. I show that the zeta function of a separable Lattes map in positive characteristic is a transcendental function.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Bogdan Petrenko''' (Eastern Illinois University)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Generating an algebra from the probabilistic standpoint<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Let ''A'' be a ring whose additive group is free Abelian of finite<br />
rank. The topic of this talk is the following question: what is the<br />
probability that several random elements of ''A'' generate it as a ring? After<br />
making this question precise, I will show that it has an interesting<br />
answer which can be interpreted as a local-global principle. Some<br />
applications will be discussed. This talk will be based on my joint work<br />
with Rostyslav Kravchenko (University of Chicago) and Marcin Mazur<br />
(Binghamton University).<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 17 ==<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%" | '''Anthony Várilly-Alvarado''' (Rice)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Arithmetic of del Pezzo surfaces of degree 4 and vertical Brauer groups<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Del Pezzo surfaces X of degree 4 are smooth (complete) intersections of two quadrics in four-dimensional projective space. They are some of the simplest surfaces for which there can be cohomological obstructions to the existence of rational points, mediated by the Brauer group Br X of the surface. I will explain how to construct, for every non-trivial, non-constant element A of Br X, a rational genus-one fibration X --> P^1 such that A is "vertical" for this map. This implies, for example, that if there is a cohomological obstruction to the existence of a point on X, then there is a genus-one fibration X --> P^1 where none of the fibers are locally soluble, giving a concrete, geometric way of "seeing" a Brauer-Manin obstruction. The construction also gives a fast, practical algorithm for computing the Brauer group of X. Conjecturally, this gives a mechanical way of testing for the existence of rational points on these surfaces. This is joint work with Bianca Viray.<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Paul Garrett''' (Minnesota)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Spectra of pseudo-Laplacians on spaces of automorphic forms<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Faddeev–Pavlov and Lax–Phillips observed that certain<br />
restrictions of the Laplacian to parts of automorphic continuous<br />
spectrum have discrete spectrum. Colin de Verdiere used this to prove<br />
meromorphic continuation of Eisenstein series, and proposed ways to<br />
exploit this idea to construct self-adjoint operators with spectra<br />
related to zeros of ''L''-functions. We show that simple forms of this<br />
construction produce at most very sparse spectra, due to<br />
incompatibility with pair correlations for zeros. Ways around some of<br />
the obstacles are sketched. (Joint with E. Bombieri.)<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Jerry Wang''' (Princeton)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Pencils of quadrics and the arithmetic of hyperelliptic curves<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: In recent joint works with Manjul Bhargava and Benedict Gross, we showed that a positive proportion of hyperelliptic curves over '''Q''' of genus ''g'' have no points over any odd degree extension of '''Q'''. This is done by computing certain 2-Selmer averages and applying a result of Dokchitser–Dokchitser on the parity of the rank of the 2-Selmer groups in biquadratic twists. In this talk, we will see how arithmetic invariant theory and the geometric theory of pencils of quadrics are used to obtain the 2-Selmer averages.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 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%" | '''who?''' (where?)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 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%" | '''who?''' (where?)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 21 ==<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 Lipnowski''' (Duke)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" |<br />
Abstract: tba<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== December 5 ==<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%" | '''Jennifer Park''' (MIT)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== December 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%" | '''Vivek Shende''' (Berkeley)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Equidistribution on the space of rank two vector bundles over the projective line<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will discuss how the algebraic geometry of hyperelliptic curves gives an approach to a function field analogue of the 'mixing conjecture' of Michel and Venkatesh. (For a rather longer abstract, see the [http://arxiv.org/abs/1307.8237 arxiv posting] of the same name as the talk). This talk presents joint work with Jacob Tsimerman. <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== Organizer contact information ==<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Fall_2013&diff=6112NTS Fall 20132013-10-18T01:48:59Z<p>Rharron: /* Fall 2013 Semester */ add title for Jerry Wang</p>
<hr />
<div>= Number Theory – Representation Theory Seminar, University of Wisconsin–Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30pm–3:30pm.<br />
*'''Where:''' Van Vleck B105<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 />
= Fall 2013 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| Sep 5 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://alg-geo.epfl.ch/~mantilla/ Guillermo Mantilla-Soler] <br> (EPFL)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 5 | <font color="black"><em>The spinor genus of the integral trace and local arithmetic equivalence</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 12 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.northwestern.edu/~slm/ Simon Marshall] <br> (Northwestern)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 12 | <font color="black"><em>Endoscopy and cohomology growth on ''U''(3)</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 19 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.neu.edu/people/profile/valerio-toledano-laredo Valerio Toledano Laredo] <br> (Northeastern)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 19 | <font color="black"><em>From Yangians to quantum loop algebras via abelian difference equations</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 26 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://homepages.warwick.ac.uk/~maslao/ Haluk Şengün] <br> (Warwick/ICERM)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 26 | <font color="black"><em>Torsion homology of Bianchi groups and arithmetic</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 3 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~bridy/ Andrew Bridy] <br> (Madison)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 3 | <font color="black"><em>The Artin–Mazur zeta function of a Lattes map in positive characteristic</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 10 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://ux1.eiu.edu/~bvpetrenko/ Bogdan Petrenko] <br> (Eastern Illinois University)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 10 | <font color="black"><em>Generating an algebra from the probabilistic standpoint</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 17 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.rice.edu/~av15/ Anthony Várilly-Alvarado] <br> (Rice University)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 17 | <font color="black"><em>Arithmetic of del Pezzo surfaces of degree 4 and vertical Brauer groups</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 24 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.umn.edu/~garrett/ Paul Garrett]<br> (Minnesota)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 24 | <font color="black"><em>Spectra of pseudo-Laplacians on spaces of automorphic forms</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 31 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.harvard.edu/~xwang/ Jerry Wang] <br> (Princeton)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 31 | <font color="black"><em>Pencils of quadrics and the arithmetic of hyperelliptic curves</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Nov 7 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 7 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Nov 14 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 14 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Nov 21 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.stanford.edu/~malipnow/ Michael Lipnowski]<br> (Duke)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 21 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Nov 28 (Thurs.)<br />
| bgcolor="#F0B0B0"| No seminar <br>(Thanksgiving)<br />
| bgcolor="#BCE2FE"| <font color="black"><em>Thanksgiving break!</em></font><br />
|- <br />
| bgcolor="#E0E0E0"| Dec 5 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.mit.edu/~jmypark/ Jennifer Park]<br> (MIT)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#December 5 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Dec 12 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.berkeley.edu/~vivek/ Vivek Shende] <br> (Berkeley)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#December 12 | <font color="black"><em>Equidistribution on the space of rank two vector bundles over the projective line</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Also of interest is the [[NTSGrad|Grad student seminar]] which meets on Tuesdays.<br><br />
Last semester's seminar page is [[NTS Spring 2013|here]].<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Fall_2013&diff=6081NTS Fall 20132013-10-13T17:37:02Z<p>Rharron: /* Fall 2013 Semester */ fix title</p>
<hr />
<div>= Number Theory – Representation Theory Seminar, University of Wisconsin–Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30pm–3:30pm.<br />
*'''Where:''' Van Vleck B105<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 />
= Fall 2013 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| Sep 5 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://alg-geo.epfl.ch/~mantilla/ Guillermo Mantilla-Soler] <br> (EPFL)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 5 | <font color="black"><em>The spinor genus of the integral trace and local arithmetic equivalence</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 12 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.northwestern.edu/~slm/ Simon Marshall] <br> (Northwestern)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 12 | <font color="black"><em>Endoscopy and cohomology growth on ''U''(3)</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 19 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.neu.edu/people/profile/valerio-toledano-laredo Valerio Toledano Laredo] <br> (Northeastern)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 19 | <font color="black"><em>From Yangians to quantum loop algebras via abelian difference equations</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 26 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://homepages.warwick.ac.uk/~maslao/ Haluk Şengün] <br> (Warwick/ICERM)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 26 | <font color="black"><em>Torsion homology of Bianchi groups and arithmetic</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 3 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~bridy/ Andrew Bridy] <br> (Madison)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 3 | <font color="black"><em>The Artin–Mazur zeta function of a Lattes map in positive characteristic</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 10 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://ux1.eiu.edu/~bvpetrenko/ Bogdan Petrenko] <br> (Eastern Illinois University)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 10 | <font color="black"><em>Generating an algebra from the probabilistic standpoint</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 17 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.rice.edu/~av15/ Anthony Várilly-Alvarado] <br> (Rice University)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 17 | <font color="black"><em>Arithmetic of del Pezzo surfaces of degree 4 and vertical Brauer groups</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 24 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.umn.edu/~garrett/ Paul Garrett]<br> (Minnesota)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 24 | <font color="black"><em>Spectra of pseudo-Laplacians on spaces of automorphic forms</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 31 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.harvard.edu/~xwang/ Jerry Wang] <br> (Princeton)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 31 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Nov 7 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 7 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Nov 14 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 14 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Nov 21 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.stanford.edu/~malipnow/ Michael Lipnowski]<br> (Duke)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 21 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Nov 28 (Thurs.)<br />
| bgcolor="#F0B0B0"| No seminar <br>(Thanksgiving)<br />
| bgcolor="#BCE2FE"| <font color="black"><em>Thanksgiving break!</em></font><br />
|- <br />
| bgcolor="#E0E0E0"| Dec 5 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.mit.edu/~jmypark/ Jennifer Park]<br> (MIT)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#December 5 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Dec 12 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.berkeley.edu/~vivek/ Vivek Shende] <br> (Berkeley)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#December 12 | <font color="black"><em>Equidistribution on the space of rank two vector bundles over the projective line</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Also of interest is the [[NTSGrad|Grad student seminar]] which meets on Tuesdays.<br><br />
Last semester's seminar page is [[NTS Spring 2013|here]].<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Fall_2013/Abstracts&diff=6080NTS Fall 2013/Abstracts2013-10-13T17:36:29Z<p>Rharron: /* October 24 */ fix title</p>
<hr />
<div>== September 5 ==<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%" | '''Guillermo Mantilla-Soler''' (EPFL)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The spinor genus of the integral trace and local arithmetic equivalence<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: In this talk I'll explain my recent results on the spinor genus of the integral trace form of a number field. I'll show how from them one can decide in terms of finitely many ramification invariants, and under some restrictions, whether or not a pair of number fields have isometric integral trace forms. Inspired by the work of R. Perlis on number fields with the same zeta function I'll define the notion of local arithmetic equivalence, and I'll show that under certain hypothesis this equivalence determines the local root numbers of the number field, and the isometry class of integral trace form.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== September 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%" | '''Simon Marshall''' (Northwestern)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Endoscopy and cohomology growth on U(3)<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will use the endoscopic classification of automorphic forms on U(3) to determine the asymptotic cohomology growth of families of complex-hyperbolic 2-manifolds.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== September 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%" | '''Valerio Toledano Laredo''' (Northeastern)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: From Yangians to quantum loop algebras via abelian difference equations<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: For a semisimple Lie algebra ''g'', the quantum loop algebra<br />
and the Yangian are deformations of the loop algebra ''g''[''z,&nbsp;''z&nbsp;&minus;&nbsp;1]<br />
and the current algebra ''g''[''u''], respectively. These infinite-dimensional<br />
quantum groups share many common features, though a<br />
precise explanation of these similarities has been missing<br />
so far.<br />
<br />
In this talk, I will explain how to construct a functor between<br />
the finite-dimensional representation categories of these<br />
two Hopf algebras which accounts for all known similarities<br />
between them.<br />
<br />
The functor is transcendental in nature, and is obtained from<br />
the discrete monodromy of an abelian difference equation<br />
canonically associated to the Yangian.<br />
<br />
This talk is based on a joint work with Sachin Gautam.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== September 26 ==<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%" | '''Haluk Şengün''' (Warwick/ICERM)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Torsion homology of Bianchi groups and arithmetic<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Bianchi groups are groups of the form ''SL''(2,&nbsp;''R'') where ''R'' is the ring of integers of an imaginary quadratic field. They form an important class of arithmetic Kleinian groups and moreover they hold a key role for the development of the Langlands program for ''GL''(2) beyond totally real fields.<br />
<br />
In this talk, I will discuss several interesting questions related to the torsion in the homology of Bianchi groups. I will especially focus on the recent results on the asymptotic behavior of the size of torsion, and the reciprocity and functoriality (in the sense of the Langlands program) aspects of the torsion. Joint work with N.&nbsp;Bergeron and A.&nbsp;Venkatesh on the cycle complexity of arithmetic manifolds will be discussed at the end.<br />
<br />
The discussion will be illustrated with many numerical examples.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Andrew Bridy''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The Artin–Mazur zeta function of a Lattes map in positive characteristic<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: The Artin–Mazur zeta function of a dynamical system is a generating function that captures information about its periodic points. In characteristic zero, the zeta function of a rational map from '''P'''<sup>1</sup> to '''P'''<sup>1</sup> is known to always be a rational function. In positive characteristic, the situation is much less clear. Lattes maps are rational maps on '''P'''<sup>1</sup> that are finite quotients of endomorphisms of elliptic curves, and they have many interesting dynamical properties related to the geometry and arithmetic of elliptic curves. I show that the zeta function of a separable Lattes map in positive characteristic is a transcendental function.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Bogdan Petrenko''' (Eastern Illinois University)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Generating an algebra from the probabilistic standpoint<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Let ''A'' be a ring whose additive group is free Abelian of finite<br />
rank. The topic of this talk is the following question: what is the<br />
probability that several random elements of ''A'' generate it as a ring? After<br />
making this question precise, I will show that it has an interesting<br />
answer which can be interpreted as a local-global principle. Some<br />
applications will be discussed. This talk will be based on my joint work<br />
with Rostyslav Kravchenko (University of Chicago) and Marcin Mazur<br />
(Binghamton University).<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 17 ==<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%" | '''Anthony Várilly-Alvarado''' (Rice)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Arithmetic of del Pezzo surfaces of degree 4 and vertical Brauer groups<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Del Pezzo surfaces X of degree 4 are smooth (complete) intersections of two quadrics in four-dimensional projective space. They are some of the simplest surfaces for which there can be cohomological obstructions to the existence of rational points, mediated by the Brauer group Br X of the surface. I will explain how to construct, for every non-trivial, non-constant element A of Br X, a rational genus-one fibration X --> P^1 such that A is "vertical" for this map. This implies, for example, that if there is a cohomological obstruction to the existence of a point on X, then there is a genus-one fibration X --> P^1 where none of the fibers are locally soluble, giving a concrete, geometric way of "seeing" a Brauer-Manin obstruction. The construction also gives a fast, practical algorithm for computing the Brauer group of X. Conjecturally, this gives a mechanical way of testing for the existence of rational points on these surfaces. This is joint work with Bianca Viray.<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Paul Garrett''' (Minnesota)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Spectra of pseudo-Laplacians on spaces of automorphic forms<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Faddeev–Pavlov and Lax–Phillips observed that certain<br />
restrictions of the Laplacian to parts of automorphic continuous<br />
spectrum have discrete spectrum. Colin de Verdiere used this to prove<br />
meromorphic continuation of Eisenstein series, and proposed ways to<br />
exploit this idea to construct self-adjoint operators with spectra<br />
related to zeros of ''L''-functions. We show that simple forms of this<br />
construction produce at most very sparse spectra, due to<br />
incompatibility with pair correlations for zeros. Ways around some of<br />
the obstacles are sketched. (Joint with E. Bombieri.)<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Jerry Wang''' (Princeton)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 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%" | '''who?''' (where?)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 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%" | '''who?''' (where?)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 21 ==<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 Lipnowski''' (Duke)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" |<br />
Abstract: tba<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== December 5 ==<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%" | '''Jennifer Park''' (MIT)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== December 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%" | '''Vivek Shende''' (Berkeley)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Equidistribution on the space of rank two vector bundles over the projective line<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will discuss how the algebraic geometry of hyperelliptic curves gives an approach to a function field analogue of the 'mixing conjecture' of Michel and Venkatesh. (For a rather longer abstract, see the [http://arxiv.org/abs/1307.8237 arxiv posting] of the same name as the talk). This talk presents joint work with Jacob Tsimerman. <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== Organizer contact information ==<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Fall_2013/Abstracts&diff=6079NTS Fall 2013/Abstracts2013-10-13T17:36:11Z<p>Rharron: /* October 24 */ add title and abstract for garrett's talk</p>
<hr />
<div>== September 5 ==<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%" | '''Guillermo Mantilla-Soler''' (EPFL)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The spinor genus of the integral trace and local arithmetic equivalence<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: In this talk I'll explain my recent results on the spinor genus of the integral trace form of a number field. I'll show how from them one can decide in terms of finitely many ramification invariants, and under some restrictions, whether or not a pair of number fields have isometric integral trace forms. Inspired by the work of R. Perlis on number fields with the same zeta function I'll define the notion of local arithmetic equivalence, and I'll show that under certain hypothesis this equivalence determines the local root numbers of the number field, and the isometry class of integral trace form.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== September 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%" | '''Simon Marshall''' (Northwestern)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Endoscopy and cohomology growth on U(3)<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will use the endoscopic classification of automorphic forms on U(3) to determine the asymptotic cohomology growth of families of complex-hyperbolic 2-manifolds.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== September 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%" | '''Valerio Toledano Laredo''' (Northeastern)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: From Yangians to quantum loop algebras via abelian difference equations<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: For a semisimple Lie algebra ''g'', the quantum loop algebra<br />
and the Yangian are deformations of the loop algebra ''g''[''z,&nbsp;''z&nbsp;&minus;&nbsp;1]<br />
and the current algebra ''g''[''u''], respectively. These infinite-dimensional<br />
quantum groups share many common features, though a<br />
precise explanation of these similarities has been missing<br />
so far.<br />
<br />
In this talk, I will explain how to construct a functor between<br />
the finite-dimensional representation categories of these<br />
two Hopf algebras which accounts for all known similarities<br />
between them.<br />
<br />
The functor is transcendental in nature, and is obtained from<br />
the discrete monodromy of an abelian difference equation<br />
canonically associated to the Yangian.<br />
<br />
This talk is based on a joint work with Sachin Gautam.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== September 26 ==<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%" | '''Haluk Şengün''' (Warwick/ICERM)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Torsion homology of Bianchi groups and arithmetic<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Bianchi groups are groups of the form ''SL''(2,&nbsp;''R'') where ''R'' is the ring of integers of an imaginary quadratic field. They form an important class of arithmetic Kleinian groups and moreover they hold a key role for the development of the Langlands program for ''GL''(2) beyond totally real fields.<br />
<br />
In this talk, I will discuss several interesting questions related to the torsion in the homology of Bianchi groups. I will especially focus on the recent results on the asymptotic behavior of the size of torsion, and the reciprocity and functoriality (in the sense of the Langlands program) aspects of the torsion. Joint work with N.&nbsp;Bergeron and A.&nbsp;Venkatesh on the cycle complexity of arithmetic manifolds will be discussed at the end.<br />
<br />
The discussion will be illustrated with many numerical examples.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Andrew Bridy''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The Artin–Mazur zeta function of a Lattes map in positive characteristic<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: The Artin–Mazur zeta function of a dynamical system is a generating function that captures information about its periodic points. In characteristic zero, the zeta function of a rational map from '''P'''<sup>1</sup> to '''P'''<sup>1</sup> is known to always be a rational function. In positive characteristic, the situation is much less clear. Lattes maps are rational maps on '''P'''<sup>1</sup> that are finite quotients of endomorphisms of elliptic curves, and they have many interesting dynamical properties related to the geometry and arithmetic of elliptic curves. I show that the zeta function of a separable Lattes map in positive characteristic is a transcendental function.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Bogdan Petrenko''' (Eastern Illinois University)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Generating an algebra from the probabilistic standpoint<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Let ''A'' be a ring whose additive group is free Abelian of finite<br />
rank. The topic of this talk is the following question: what is the<br />
probability that several random elements of ''A'' generate it as a ring? After<br />
making this question precise, I will show that it has an interesting<br />
answer which can be interpreted as a local-global principle. Some<br />
applications will be discussed. This talk will be based on my joint work<br />
with Rostyslav Kravchenko (University of Chicago) and Marcin Mazur<br />
(Binghamton University).<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 17 ==<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%" | '''Anthony Várilly-Alvarado''' (Rice)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Arithmetic of del Pezzo surfaces of degree 4 and vertical Brauer groups<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Del Pezzo surfaces X of degree 4 are smooth (complete) intersections of two quadrics in four-dimensional projective space. They are some of the simplest surfaces for which there can be cohomological obstructions to the existence of rational points, mediated by the Brauer group Br X of the surface. I will explain how to construct, for every non-trivial, non-constant element A of Br X, a rational genus-one fibration X --> P^1 such that A is "vertical" for this map. This implies, for example, that if there is a cohomological obstruction to the existence of a point on X, then there is a genus-one fibration X --> P^1 where none of the fibers are locally soluble, giving a concrete, geometric way of "seeing" a Brauer-Manin obstruction. The construction also gives a fast, practical algorithm for computing the Brauer group of X. Conjecturally, this gives a mechanical way of testing for the existence of rational points on these surfaces. This is joint work with Bianca Viray.<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Paul Garrett''' (Minnesota)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Spectra of pseudo-Laplacians<br />
on spaces of automorphic forms<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Faddeev–Pavlov and Lax–Phillips observed that certain<br />
restrictions of the Laplacian to parts of automorphic continuous<br />
spectrum have discrete spectrum. Colin de Verdiere used this to prove<br />
meromorphic continuation of Eisenstein series, and proposed ways to<br />
exploit this idea to construct self-adjoint operators with spectra<br />
related to zeros of ''L''-functions. We show that simple forms of this<br />
construction produce at most very sparse spectra, due to<br />
incompatibility with pair correlations for zeros. Ways around some of<br />
the obstacles are sketched. (Joint with E. Bombieri.)<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Jerry Wang''' (Princeton)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 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%" | '''who?''' (where?)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 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%" | '''who?''' (where?)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 21 ==<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 Lipnowski''' (Duke)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" |<br />
Abstract: tba<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== December 5 ==<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%" | '''Jennifer Park''' (MIT)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== December 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%" | '''Vivek Shende''' (Berkeley)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Equidistribution on the space of rank two vector bundles over the projective line<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will discuss how the algebraic geometry of hyperelliptic curves gives an approach to a function field analogue of the 'mixing conjecture' of Michel and Venkatesh. (For a rather longer abstract, see the [http://arxiv.org/abs/1307.8237 arxiv posting] of the same name as the talk). This talk presents joint work with Jacob Tsimerman. <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== Organizer contact information ==<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Fall_2013&diff=6078NTS Fall 20132013-10-13T17:35:07Z<p>Rharron: /* Fall 2013 Semester */ add title for Garrett's talk</p>
<hr />
<div>= Number Theory – Representation Theory Seminar, University of Wisconsin–Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30pm–3:30pm.<br />
*'''Where:''' Van Vleck B105<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 />
= Fall 2013 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| Sep 5 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://alg-geo.epfl.ch/~mantilla/ Guillermo Mantilla-Soler] <br> (EPFL)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 5 | <font color="black"><em>The spinor genus of the integral trace and local arithmetic equivalence</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 12 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.northwestern.edu/~slm/ Simon Marshall] <br> (Northwestern)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 12 | <font color="black"><em>Endoscopy and cohomology growth on ''U''(3)</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 19 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.neu.edu/people/profile/valerio-toledano-laredo Valerio Toledano Laredo] <br> (Northeastern)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 19 | <font color="black"><em>From Yangians to quantum loop algebras via abelian difference equations</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 26 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://homepages.warwick.ac.uk/~maslao/ Haluk Şengün] <br> (Warwick/ICERM)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 26 | <font color="black"><em>Torsion homology of Bianchi groups and arithmetic</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 3 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~bridy/ Andrew Bridy] <br> (Madison)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 3 | <font color="black"><em>The Artin–Mazur zeta function of a Lattes map in positive characteristic</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 10 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://ux1.eiu.edu/~bvpetrenko/ Bogdan Petrenko] <br> (Eastern Illinois University)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 10 | <font color="black"><em>Generating an algebra from the probabilistic standpoint</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 17 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.rice.edu/~av15/ Anthony Várilly-Alvarado] <br> (Rice University)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 17 | <font color="black"><em>Arithmetic of del Pezzo surfaces of degree 4 and vertical Brauer groups</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 24 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.umn.edu/~garrett/ Paul Garrett]<br> (Minnesota)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 24 | <font color="black"><em>Spectra of pseudo-Laplacians<br />
on spaces of automorphic forms</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 31 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.harvard.edu/~xwang/ Jerry Wang] <br> (Princeton)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 31 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Nov 7 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 7 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Nov 14 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 14 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Nov 21 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.stanford.edu/~malipnow/ Michael Lipnowski]<br> (Duke)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 21 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Nov 28 (Thurs.)<br />
| bgcolor="#F0B0B0"| No seminar <br>(Thanksgiving)<br />
| bgcolor="#BCE2FE"| <font color="black"><em>Thanksgiving break!</em></font><br />
|- <br />
| bgcolor="#E0E0E0"| Dec 5 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.mit.edu/~jmypark/ Jennifer Park]<br> (MIT)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#December 5 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Dec 12 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.berkeley.edu/~vivek/ Vivek Shende] <br> (Berkeley)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#December 12 | <font color="black"><em>Equidistribution on the space of rank two vector bundles over the projective line</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Also of interest is the [[NTSGrad|Grad student seminar]] which meets on Tuesdays.<br><br />
Last semester's seminar page is [[NTS Spring 2013|here]].<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Fall_2013/Abstracts&diff=5971NTS Fall 2013/Abstracts2013-09-26T13:49:02Z<p>Rharron: /* November 21 */ add Michael Lipnowski for Nov 21</p>
<hr />
<div>== September 5 ==<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%" | '''Guillermo Mantilla-Soler''' (EPFL)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The spinor genus of the integral trace and local arithmetic equivalence<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: In this talk I'll explain my recent results on the spinor genus of the integral trace form of a number field. I'll show how from them one can decide in terms of finitely many ramification invariants, and under some restrictions, whether or not a pair of number fields have isometric integral trace forms. Inspired by the work of R. Perlis on number fields with the same zeta function I'll define the notion of local arithmetic equivalence, and I'll show that under certain hypothesis this equivalence determines the local root numbers of the number field, and the isometry class of integral trace form.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== September 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%" | '''Simon Marshall''' (Northwestern)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Endoscopy and cohomology growth on U(3)<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will use the endoscopic classification of automorphic forms on U(3) to determine the asymptotic cohomology growth of families of complex-hyperbolic 2-manifolds.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== September 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%" | '''Valerio Toledano Laredo''' (Northeastern)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: From Yangians to quantum loop algebras via abelian difference equations<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: For a semisimple Lie algebra ''g'', the quantum loop algebra<br />
and the Yangian are deformations of the loop algebra ''g''[''z,&nbsp;''z&nbsp;&minus;&nbsp;1]<br />
and the current algebra ''g''[''u''], respectively. These infinite-dimensional<br />
quantum groups share many common features, though a<br />
precise explanation of these similarities has been missing<br />
so far.<br />
<br />
In this talk, I will explain how to construct a functor between<br />
the finite-dimensional representation categories of these<br />
two Hopf algebras which accounts for all known similarities<br />
between them.<br />
<br />
The functor is transcendental in nature, and is obtained from<br />
the discrete monodromy of an abelian difference equation<br />
canonically associated to the Yangian.<br />
<br />
This talk is based on a joint work with Sachin Gautam.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== September 26 ==<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%" | '''Haluk Şengün''' (Warwick/ICERM)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Torsion homology of Bianchi groups and arithmetic<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Bianchi groups are groups of the form ''SL''(2,&nbsp;''R'') where ''R'' is the ring of integers of an imaginary quadratic field. They form an important class of arithmetic Kleinian groups and moreover they hold a key role for the development of the Langlands program for ''GL''(2) beyond totally real fields.<br />
<br />
In this talk, I will discuss several interesting questions related to the torsion in the homology of Bianchi groups. I will especially focus on the recent results on the asymptotic behavior of the size of torsion, and the reciprocity and functoriality (in the sense of the Langlands program) aspects of the torsion. Joint work with N.&nbsp;Bergeron and A.&nbsp;Venkatesh on the cycle complexity of arithmetic manifolds will be discussed at the end.<br />
<br />
The discussion will be illustrated with many numerical examples.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Andrew Bridy''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The Artin–Mazur zeta function of a Lattes map in positive characteristic<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: The Artin–Mazur zeta function of a dynamical system is a generating function that captures information about its periodic points. In characteristic zero, the zeta function of a rational map from '''P'''<sup>1</sup> to '''P'''<sup>1</sup> is known to always be a rational function. In positive characteristic, the situation is much less clear. Lattes maps are rational maps on '''P'''<sup>1</sup> that are finite quotients of endomorphisms of elliptic curves, and they have many interesting dynamical properties related to the geometry and arithmetic of elliptic curves. I show that the zeta function of a separable Lattes map in positive characteristic is a transcendental function.<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Bogdan Petrenko''' (Eastern Illinois University)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Generating an algebra from the probabilistic standpoint<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Let ''A'' be a ring whose additive group is free Abelian of finite<br />
rank. The topic of this talk is the following question: what is the<br />
probability that several random elements of ''A'' generate it as a ring? After<br />
making this question precise, I will show that it has an interesting<br />
answer which can be interpreted as a local-global principle. Some<br />
applications will be discussed. This talk will be based on my joint work<br />
with Rostyslav Kravchenko (University of Chicago) and Marcin Mazur<br />
(Binghamton University).<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 17 ==<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%" | '''who?''' (where?)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Paul Garrett''' (Minnesota)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 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%" | '''Jerry Wang''' (Princeton)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 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%" | '''who?''' (where?)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 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%" | '''who?''' (where?)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 21 ==<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 Lipnowski''' (Duke)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" |<br />
Abstract: tba<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== December 5 ==<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%" | '''who?''' (where?)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== December 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%" | '''Vivek Shende''' (Berkeley)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Equidistribution on the space of rank two vector bundles over the projective line<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will discuss how the algebraic geometry of hyperelliptic curves gives an approach to a function field analogue of the 'mixing conjecture' of Michel and Venkatesh. (For a rather longer abstract, see the [http://arxiv.org/abs/1307.8237 arxiv posting] of the same name as the talk). This talk presents joint work with Jacob Tsimerman. <br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== Organizer contact information ==<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Fall_2013&diff=5970NTS Fall 20132013-09-26T13:48:39Z<p>Rharron: /* Fall 2013 Semester */ adjust wikilinks</p>
<hr />
<div>= Number Theory – Representation Theory Seminar, University of Wisconsin–Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30pm–3:30pm.<br />
*'''Where:''' Van Vleck B105<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 />
= Fall 2013 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| Sep 5 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://alg-geo.epfl.ch/~mantilla/ Guillermo Mantilla-Soler] <br> (EPFL)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 5 | <font color="black"><em>The spinor genus of the integral trace and local arithmetic equivalence</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 12 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.northwestern.edu/~slm/ Simon Marshall] <br> (Northwestern)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 12 | <font color="black"><em>Endoscopy and cohomology growth on ''U''(3)</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 19 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.neu.edu/people/profile/valerio-toledano-laredo Valerio Toledano Laredo] <br> (Northeastern)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 19 | <font color="black"><em>From Yangians to quantum loop algebras via abelian difference equations</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 26 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://homepages.warwick.ac.uk/~maslao/ Haluk Şengün] <br> (Warwick/ICERM)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 26 | <font color="black"><em>Torsion homology of Bianchi groups and arithmetic</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 3 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~bridy/ Andrew Bridy] <br> (Madison)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 3 | <font color="black"><em>The Artin–Mazur zeta function of a Lattes map in positive characteristic</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 10 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://ux1.eiu.edu/~bvpetrenko/ Bogdan Petrenko] <br> (Eastern Illinois University)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 10 | <font color="black"><em>Generating an algebra from the probabilistic standpoint</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 17 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.rice.edu/~av15/ Anthony Várilly-Alvarado] <br> (Rice University)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 17 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 24 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.umn.edu/~garrett/ Paul Garrett]<br> (Minnesota)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 24 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 31 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.harvard.edu/~xwang/ Jerry Wang] <br> (Princeton)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 31 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Nov 7 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 7 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Nov 14 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 14 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Nov 21 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.stanford.edu/~malipnow/ Michael Lipnowski]<br> (Duke)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#November 21 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Nov 28 (Thurs.)<br />
| bgcolor="#F0B0B0"| No seminar <br>(Thanksgiving)<br />
| bgcolor="#BCE2FE"| <font color="black"><em>Thanksgiving break!</em></font><br />
|- <br />
| bgcolor="#E0E0E0"| Dec 5 (Thurs.)<br />
| bgcolor="#F0B0B0"| temporarily reserved <br> (Where?)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#December 5 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Dec 12 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.berkeley.edu/~vivek/ Vivek Shende] <br> (Berkeley)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#December 12 | <font color="black"><em>Equidistribution on the space of rank two vector bundles over the projective line</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Also of interest is the [[NTSGrad|Grad student seminar]] which meets on Tuesdays.<br><br />
Last semester's seminar page is [[NTS Spring 2013|here]].<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharronhttps://wiki.math.wisc.edu/index.php?title=NTS_Fall_2013&diff=5969NTS Fall 20132013-09-26T13:47:55Z<p>Rharron: /* Fall 2013 Semester */ add Michael Lipnowski to Nov 21</p>
<hr />
<div>= Number Theory – Representation Theory Seminar, University of Wisconsin–Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30pm–3:30pm.<br />
*'''Where:''' Van Vleck B105<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 />
= Fall 2013 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'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| Sep 5 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://alg-geo.epfl.ch/~mantilla/ Guillermo Mantilla-Soler] <br> (EPFL)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 5 | <font color="black"><em>The spinor genus of the integral trace and local arithmetic equivalence</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 12 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.northwestern.edu/~slm/ Simon Marshall] <br> (Northwestern)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 12 | <font color="black"><em>Endoscopy and cohomology growth on ''U''(3)</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 19 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.neu.edu/people/profile/valerio-toledano-laredo Valerio Toledano Laredo] <br> (Northeastern)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 19 | <font color="black"><em>From Yangians to quantum loop algebras via abelian difference equations</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Sep 26 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://homepages.warwick.ac.uk/~maslao/ Haluk Şengün] <br> (Warwick/ICERM)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 26 | <font color="black"><em>Torsion homology of Bianchi groups and arithmetic</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 3 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~bridy/ Andrew Bridy] <br> (Madison)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 3 | <font color="black"><em>The Artin–Mazur zeta function of a Lattes map in positive characteristic</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 10 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://ux1.eiu.edu/~bvpetrenko/ Bogdan Petrenko] <br> (Eastern Illinois University)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 10 | <font color="black"><em>Generating an algebra from the probabilistic standpoint</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 17 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.rice.edu/~av15/ Anthony Várilly-Alvarado] <br> (Rice University)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 17 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 24 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.umn.edu/~garrett/ Paul Garrett]<br> (Minnesota)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 24 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 31 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.harvard.edu/~xwang/ Jerry Wang] <br> (Princeton)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#October 31 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Nov 7 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 5 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Nov 14 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 5 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Nov 21 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.stanford.edu/~malipnow/ Michael Lipnowski]<br> (Duke)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 5 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Nov 28 (Thurs.)<br />
| bgcolor="#F0B0B0"| No seminar <br>(Thanksgiving)<br />
| bgcolor="#BCE2FE"| <font color="black"><em>Thanksgiving break!</em></font><br />
|- <br />
| bgcolor="#E0E0E0"| Dec 5 (Thurs.)<br />
| bgcolor="#F0B0B0"| temporarily reserved <br> (Where?)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#September 5 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Dec 12 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.berkeley.edu/~vivek/ Vivek Shende] <br> (Berkeley)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2013/Abstracts#December 12 | <font color="black"><em>Equidistribution on the space of rank two vector bundles over the projective line</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Also of interest is the [[NTSGrad|Grad student seminar]] which meets on Tuesdays.<br><br />
Last semester's seminar page is [[NTS Spring 2013|here]].<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Rharron