https://www.math.wisc.edu/wiki/api.php?action=feedcontributions&user=Seeger&feedformat=atomUW-Math Wiki - User contributions [en]2020-10-28T08:41:19ZUser contributionsMediaWiki 1.30.1https://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=20201Analysis Seminar2020-10-23T22:46:51Z<p>Seeger: /* Abstracts */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier, or on different days, to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#Alexei Poltoratski | Dirac inner functions ]]<br />
| <br />
|-<br />
|September 29<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#Polona Durcik and Joris Rooslinktoabstract | A triangular Hilbert transform with curvature, I ]]<br />
| <br />
|-<br />
|Wednesday September 30, 4 p.m.<br />
|Polona Durcik<br />
|Chapman University<br />
|[[#Polona Durcik and Joris Roos | A triangular Hilbert transform with curvature, II ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#Andrew Zimmer | Complex analytic problems on domains with good intrinsic geometry ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#Hong Wang | Improved decoupling for the parabola ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#Kevin Luli | Smooth Nonnegative Interpolation ]]<br />
| <br />
|-<br />
|October 21, 4.00 p.m.<br />
|Niclas Technau<br />
|UW Madison<br />
|[[#Niclas Technau | Number theoretic applications of oscillatory integrals ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#Terence Harris | Low dimensional pinned distance sets via spherical averages ]]<br />
| <br />
|-<br />
|Monday, November 2, 4 p.m.<br />
|Yuval Wigderson<br />
|Stanford University<br />
|[[#Yuval Wigderson | New perspectives on the uncertainty principle ]]<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
|Shukun Wu<br />
|University of Illinois (Urbana-Champaign)<br />
||[[#linktoabstract | Title ]] <br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|Alejandra Gaitán<br />
| Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 9<br />
|Bingyang Hu<br />
|Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 16<br />
|Krystal Taylor<br />
|The Ohio State University<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|February 23<br />
|Dominique Maldague<br />
|MIT<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 2<br />
|Diogo Oliveira e Silva<br />
|University of Birmingham<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 9<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 16<br />
|Ziming Shi<br />
|Rutgers University<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 30<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 6<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 13<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 20<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 27<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|May 4<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|}<br />
<br />
=Abstracts=<br />
===Alexei Poltoratski===<br />
<br />
Title: Dirac inner functions<br />
<br />
Abstract: My talk will focus on some new (and old) complex analytic objects arising from Dirac systems of differential equations.<br />
We will discuss connections between problems in complex function theory, spectral and scattering problems for differential<br />
operators and the non-linear Fourier transform.<br />
<br />
===Polona Durcik and Joris Roos===<br />
<br />
Title: A triangular Hilbert transform with curvature, I & II.<br />
<br />
Abstract: The triangular Hilbert is a two-dimensional bilinear singular<br />
originating in time-frequency analysis. No Lp bounds are currently<br />
known for this operator.<br />
In these two talks we discuss a recent joint work with Michael Christ<br />
on a variant of the triangular Hilbert transform involving curvature.<br />
This object is closely related to the bilinear Hilbert transform with<br />
curvature and a maximally modulated singular integral of Stein-Wainger<br />
type. As an application we also discuss a quantitative nonlinear Roth<br />
type theorem on patterns in the Euclidean plane.<br />
The second talk will focus on the proof of a key ingredient, a certain<br />
regularity estimate for a local operator.<br />
<br />
===Andrew Zimmer===<br />
<br />
Title: Complex analytic problems on domains with good intrinsic geometry<br />
<br />
Abstract: In this talk, I will describe a new class of domains in complex Euclidean space which is defined in terms of the existence of a Kaehler metric with good geometric properties. This class is invariant under biholomorphism and includes many well-studied classes of domains such as strongly pseudoconvex domains, finite type domains in dimension two, convex domains, homogeneous domains, and embeddings of Teichmuller spaces. Further, certain analytic problems are tractable for domains in this family even when the boundary is non-smooth. In particular, it is possible to characterize the domains in this family where the dbar-Neumann operator on (0, q)-forms is compact (which generalizes an old result of Fu-Straube for convex domains).<br />
<br />
===Hong Wang===<br />
<br />
Title: Improved decoupling for the parabola<br />
<br />
Abstract: In 2014, Bourgain and Demeter proved the $l^2$ decoupling estimates for the paraboloid with constant $R^{\epsilon}$. <br />
We prove an $(l^2, L^6)$ decoupling inequality for the parabola with constant $(\log R)^c$. This is joint work with Larry Guth and Dominique Maldague.<br />
<br />
===Kevin Luli===<br />
<br />
Title: Smooth Nonnegative Interpolation<br />
<br />
Abstract: Suppose E is an arbitrary subset of R^n. Let f: E \rightarrow [0, \infty). How can we decide if f extends to a nonnegative function C^m function F defined on all of R^n? Suppose E is finite. Can we compute a nonnegative C^m function F on R^n that agrees with f on E with the least possible C^m norm? How many computer operations does this take? In this talk, I will explain recent results on these problems. Non-negativity is one of the most important shape preserving properties for interpolants. In real life applications, the range of the interpolant is imposed by nature. For example, probability density, the amount of snow, rain, humidity, chemical concentration are all nonnegative quantities and are of interest in natural sciences. Even in one dimension, the existing techniques can only handle nonnegative interpolation under special assumptions on the data set. Our results work without any assumptions on the data sets. <br />
<br />
===Niclas Technau===<br />
<br />
Title: Number theoretic applications of oscillatory integrals<br />
<br />
Abstract: We discuss how the analysis of oscillatory integrals can be used to solve number theoretic problems. More specifically, the focus will be on understanding fine-scale statistics of sequences on the unit circle. Further, we shall briefly explain a connection to quantum chaos.<br />
<br />
===Terence Harris===<br />
<br />
Title: Low dimensional pinned distance sets via spherical averages<br />
<br />
Abstract: An inequality is derived for the average t-energy of weighted pinned distance measures, where 0 < t < 1, in terms of the L^2 spherical averages of Fourier transforms of measures. This generalises the result of Liu (originally for Lebesgue measure) to pinned distance sets of dimension smaller than 1, and strengthens Mattila's result from 1987, originally for the full distance set.<br />
<br />
===Yuval Wigderson===<br />
<br />
Title: New perspectives on the uncertainty principle<br />
<br />
Abstract: The phrase ``uncertainty principle'' refers to a wide array of results in several disparate fields of mathematics, all of which capture the notion that a function and its Fourier transform cannot both be ``very localized''. The measure of localization varies from one uncertainty principle to the next, and well-studied notions include the variance (and higher moments), the entropy, the support-size, and the rate of decay at infinity. Similarly, the proofs of the various uncertainty principles rely on a range of tools, from the elementary to the very deep. In this talk, I'll describe how many of the uncertainty principles all follow from a single, simple result, whose proof uses only a basic property of the Fourier transform: that it and its inverse are bounded as operators $L^1 \to L^\infty$. Using this result, one can also prove new variants of the uncertainty principle, which apply to new measures of localization and to operators other than the Fourier transform. This is joint work with Avi Wigderson.<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=20200Analysis Seminar2020-10-23T22:45:31Z<p>Seeger: /* Current Analysis Seminar Schedule */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier, or on different days, to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#Alexei Poltoratski | Dirac inner functions ]]<br />
| <br />
|-<br />
|September 29<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#Polona Durcik and Joris Rooslinktoabstract | A triangular Hilbert transform with curvature, I ]]<br />
| <br />
|-<br />
|Wednesday September 30, 4 p.m.<br />
|Polona Durcik<br />
|Chapman University<br />
|[[#Polona Durcik and Joris Roos | A triangular Hilbert transform with curvature, II ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#Andrew Zimmer | Complex analytic problems on domains with good intrinsic geometry ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#Hong Wang | Improved decoupling for the parabola ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#Kevin Luli | Smooth Nonnegative Interpolation ]]<br />
| <br />
|-<br />
|October 21, 4.00 p.m.<br />
|Niclas Technau<br />
|UW Madison<br />
|[[#Niclas Technau | Number theoretic applications of oscillatory integrals ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#Terence Harris | Low dimensional pinned distance sets via spherical averages ]]<br />
| <br />
|-<br />
|Monday, November 2, 4 p.m.<br />
|Yuval Wigderson<br />
|Stanford University<br />
|[[#Yuval Wigderson | New perspectives on the uncertainty principle ]]<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
|Shukun Wu<br />
|University of Illinois (Urbana-Champaign)<br />
||[[#linktoabstract | Title ]] <br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|Alejandra Gaitán<br />
| Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 9<br />
|Bingyang Hu<br />
|Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 16<br />
|Krystal Taylor<br />
|The Ohio State University<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|February 23<br />
|Dominique Maldague<br />
|MIT<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 2<br />
|Diogo Oliveira e Silva<br />
|University of Birmingham<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 9<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 16<br />
|Ziming Shi<br />
|Rutgers University<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 30<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 6<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 13<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 20<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 27<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|May 4<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|}<br />
<br />
=Abstracts=<br />
===Alexei Poltoratski===<br />
<br />
Title: Dirac inner functions<br />
<br />
Abstract: My talk will focus on some new (and old) complex analytic objects arising from Dirac systems of differential equations.<br />
We will discuss connections between problems in complex function theory, spectral and scattering problems for differential<br />
operators and the non-linear Fourier transform.<br />
<br />
===Polona Durcik and Joris Roos===<br />
<br />
Title: A triangular Hilbert transform with curvature, I & II.<br />
<br />
Abstract: The triangular Hilbert is a two-dimensional bilinear singular<br />
originating in time-frequency analysis. No Lp bounds are currently<br />
known for this operator.<br />
In these two talks we discuss a recent joint work with Michael Christ<br />
on a variant of the triangular Hilbert transform involving curvature.<br />
This object is closely related to the bilinear Hilbert transform with<br />
curvature and a maximally modulated singular integral of Stein-Wainger<br />
type. As an application we also discuss a quantitative nonlinear Roth<br />
type theorem on patterns in the Euclidean plane.<br />
The second talk will focus on the proof of a key ingredient, a certain<br />
regularity estimate for a local operator.<br />
<br />
===Andrew Zimmer===<br />
<br />
Title: Complex analytic problems on domains with good intrinsic geometry<br />
<br />
Abstract: In this talk, I will describe a new class of domains in complex Euclidean space which is defined in terms of the existence of a Kaehler metric with good geometric properties. This class is invariant under biholomorphism and includes many well-studied classes of domains such as strongly pseudoconvex domains, finite type domains in dimension two, convex domains, homogeneous domains, and embeddings of Teichmuller spaces. Further, certain analytic problems are tractable for domains in this family even when the boundary is non-smooth. In particular, it is possible to characterize the domains in this family where the dbar-Neumann operator on (0, q)-forms is compact (which generalizes an old result of Fu-Straube for convex domains).<br />
<br />
===Hong Wang===<br />
<br />
Title: Improved decoupling for the parabola<br />
<br />
Abstract: In 2014, Bourgain and Demeter proved the $l^2$ decoupling estimates for the paraboloid with constant $R^{\epsilon}$. <br />
We prove an $(l^2, L^6)$ decoupling inequality for the parabola with constant $(\log R)^c$. This is joint work with Larry Guth and Dominique Maldague.<br />
<br />
===Kevin Luli===<br />
<br />
Title: Smooth Nonnegative Interpolation<br />
<br />
Abstract: Suppose E is an arbitrary subset of R^n. Let f: E \rightarrow [0, \infty). How can we decide if f extends to a nonnegative function C^m function F defined on all of R^n? Suppose E is finite. Can we compute a nonnegative C^m function F on R^n that agrees with f on E with the least possible C^m norm? How many computer operations does this take? In this talk, I will explain recent results on these problems. Non-negativity is one of the most important shape preserving properties for interpolants. In real life applications, the range of the interpolant is imposed by nature. For example, probability density, the amount of snow, rain, humidity, chemical concentration are all nonnegative quantities and are of interest in natural sciences. Even in one dimension, the existing techniques can only handle nonnegative interpolation under special assumptions on the data set. Our results work without any assumptions on the data sets. <br />
<br />
===Niclas Technau===<br />
<br />
Title: Number theoretic applications of oscillatory integrals<br />
<br />
Abstract: We discuss how the analysis of oscillatory integrals can be used to solve number theoretic problems. More specifically, the focus will be on understanding fine-scale statistics of sequences on the unit circle. Further, we shall briefly explain a connection to quantum chaos.<br />
<br />
===Terence Harris===<br />
<br />
Title: Low dimensional pinned distance sets via spherical averages<br />
<br />
Abstract: An inequality is derived for the average t-energy of weighted pinned distance measures, where 0 < t < 1, in terms of the L^2 spherical averages of Fourier transforms of measures. This generalises the result of Liu (originally for Lebesgue measure) to pinned distance sets of dimension smaller than 1, and strengthens Mattila's result from 1987, originally for the full distance set.<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=20143Analysis Seminar2020-10-14T20:04:16Z<p>Seeger: /* Name */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier, or on different days, to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#Alexei Poltoratski | Dirac inner functions ]]<br />
| <br />
|-<br />
|September 29<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#Polona Durcik and Joris Rooslinktoabstract | A triangular Hilbert transform with curvature, I ]]<br />
| <br />
|-<br />
|Wednesday September 30, 4 p.m.<br />
|Polona Durcik<br />
|Chapman University<br />
|[[#Polona Durcik and Joris Roos | A triangular Hilbert transform with curvature, II ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#Andrew Zimmer | Complex analytic problems on domains with good intrinsic geometry ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#Hong Wang | Improved decoupling for the parabola ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#Kevin Luli | Smooth Nonnegative Interpolation ]]<br />
| <br />
|-<br />
|October 21, 4.00 p.m.<br />
|Niclas Technau<br />
|UW Madison<br />
|[[#Niclas Technau | Number theoretic applications of oscillatory integrals ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|Monday, November 2, 4 p.m.<br />
|Yuval Wigderson<br />
|Stanford University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
|Shukun Wu<br />
|University of Illinois (Urbana-Champaign)<br />
||[[#linktoabstract | Title ]] <br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|Alejandra Gaitán<br />
| Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 9<br />
|Bingyang Hu<br />
|Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 16<br />
|David Beltran<br />
|UW - Madison<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|February 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 2<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 9<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 16<br />
|Ziming Shi<br />
|Rutgers University<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 30<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 6<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 13<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 20<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 27<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|May 4<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|}<br />
<br />
=Abstracts=<br />
===Alexei Poltoratski===<br />
<br />
Title: Dirac inner functions<br />
<br />
Abstract: My talk will focus on some new (and old) complex analytic objects arising from Dirac systems of differential equations.<br />
We will discuss connections between problems in complex function theory, spectral and scattering problems for differential<br />
operators and the non-linear Fourier transform.<br />
<br />
===Polona Durcik and Joris Roos===<br />
<br />
Title: A triangular Hilbert transform with curvature, I & II.<br />
<br />
Abstract: The triangular Hilbert is a two-dimensional bilinear singular<br />
originating in time-frequency analysis. No Lp bounds are currently<br />
known for this operator.<br />
In these two talks we discuss a recent joint work with Michael Christ<br />
on a variant of the triangular Hilbert transform involving curvature.<br />
This object is closely related to the bilinear Hilbert transform with<br />
curvature and a maximally modulated singular integral of Stein-Wainger<br />
type. As an application we also discuss a quantitative nonlinear Roth<br />
type theorem on patterns in the Euclidean plane.<br />
The second talk will focus on the proof of a key ingredient, a certain<br />
regularity estimate for a local operator.<br />
<br />
===Andrew Zimmer===<br />
<br />
Title: Complex analytic problems on domains with good intrinsic geometry<br />
<br />
Abstract: In this talk, I will describe a new class of domains in complex Euclidean space which is defined in terms of the existence of a Kaehler metric with good geometric properties. This class is invariant under biholomorphism and includes many well-studied classes of domains such as strongly pseudoconvex domains, finite type domains in dimension two, convex domains, homogeneous domains, and embeddings of Teichmuller spaces. Further, certain analytic problems are tractable for domains in this family even when the boundary is non-smooth. In particular, it is possible to characterize the domains in this family where the dbar-Neumann operator on (0, q)-forms is compact (which generalizes an old result of Fu-Straube for convex domains).<br />
<br />
===Hong Wang===<br />
<br />
Title: Improved decoupling for the parabola<br />
<br />
Abstract: In 2014, Bourgain and Demeter proved the $l^2$ decoupling estimates for the paraboloid with constant $R^{\epsilon}$. <br />
We prove an $(l^2, L^6)$ decoupling inequality for the parabola with constant $(\log R)^c$. This is joint work with Larry Guth and Dominique Maldague.<br />
<br />
===Kevin Luli===<br />
<br />
Title: Smooth Nonnegative Interpolation<br />
<br />
Abstract: Suppose E is an arbitrary subset of R^n. Let f: E \rightarrow [0, \infty). How can we decide if f extends to a nonnegative function C^m function F defined on all of R^n? Suppose E is finite. Can we compute a nonnegative C^m function F on R^n that agrees with f on E with the least possible C^m norm? How many computer operations does this take? In this talk, I will explain recent results on these problems. Non-negativity is one of the most important shape preserving properties for interpolants. In real life applications, the range of the interpolant is imposed by nature. For example, probability density, the amount of snow, rain, humidity, chemical concentration are all nonnegative quantities and are of interest in natural sciences. Even in one dimension, the existing techniques can only handle nonnegative interpolation under special assumptions on the data set. Our results work without any assumptions on the data sets. <br />
<br />
===Niclas Technau===<br />
<br />
Title: Number theoretic applications of oscillatory integrals<br />
<br />
Abstract: We discuss how the analysis of oscillatory integrals can be used to solve number theoretic problems. More specifically, the focus will be on understanding fine-scale statistics of sequences on the unit circle. Further, we shall briefly explain a connection to quantum chaos.<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=20142Analysis Seminar2020-10-14T20:03:11Z<p>Seeger: /* Current Analysis Seminar Schedule */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier, or on different days, to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#Alexei Poltoratski | Dirac inner functions ]]<br />
| <br />
|-<br />
|September 29<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#Polona Durcik and Joris Rooslinktoabstract | A triangular Hilbert transform with curvature, I ]]<br />
| <br />
|-<br />
|Wednesday September 30, 4 p.m.<br />
|Polona Durcik<br />
|Chapman University<br />
|[[#Polona Durcik and Joris Roos | A triangular Hilbert transform with curvature, II ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#Andrew Zimmer | Complex analytic problems on domains with good intrinsic geometry ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#Hong Wang | Improved decoupling for the parabola ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#Kevin Luli | Smooth Nonnegative Interpolation ]]<br />
| <br />
|-<br />
|October 21, 4.00 p.m.<br />
|Niclas Technau<br />
|UW Madison<br />
|[[#Niclas Technau | Number theoretic applications of oscillatory integrals ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|Monday, November 2, 4 p.m.<br />
|Yuval Wigderson<br />
|Stanford University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
|Shukun Wu<br />
|University of Illinois (Urbana-Champaign)<br />
||[[#linktoabstract | Title ]] <br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|Alejandra Gaitán<br />
| Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 9<br />
|Bingyang Hu<br />
|Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 16<br />
|David Beltran<br />
|UW - Madison<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|February 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 2<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 9<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 16<br />
|Ziming Shi<br />
|Rutgers University<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 30<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 6<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 13<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 20<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 27<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|May 4<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|}<br />
<br />
=Abstracts=<br />
===Alexei Poltoratski===<br />
<br />
Title: Dirac inner functions<br />
<br />
Abstract: My talk will focus on some new (and old) complex analytic objects arising from Dirac systems of differential equations.<br />
We will discuss connections between problems in complex function theory, spectral and scattering problems for differential<br />
operators and the non-linear Fourier transform.<br />
<br />
===Polona Durcik and Joris Roos===<br />
<br />
Title: A triangular Hilbert transform with curvature, I & II.<br />
<br />
Abstract: The triangular Hilbert is a two-dimensional bilinear singular<br />
originating in time-frequency analysis. No Lp bounds are currently<br />
known for this operator.<br />
In these two talks we discuss a recent joint work with Michael Christ<br />
on a variant of the triangular Hilbert transform involving curvature.<br />
This object is closely related to the bilinear Hilbert transform with<br />
curvature and a maximally modulated singular integral of Stein-Wainger<br />
type. As an application we also discuss a quantitative nonlinear Roth<br />
type theorem on patterns in the Euclidean plane.<br />
The second talk will focus on the proof of a key ingredient, a certain<br />
regularity estimate for a local operator.<br />
<br />
===Andrew Zimmer===<br />
<br />
Title: Complex analytic problems on domains with good intrinsic geometry<br />
<br />
Abstract: In this talk, I will describe a new class of domains in complex Euclidean space which is defined in terms of the existence of a Kaehler metric with good geometric properties. This class is invariant under biholomorphism and includes many well-studied classes of domains such as strongly pseudoconvex domains, finite type domains in dimension two, convex domains, homogeneous domains, and embeddings of Teichmuller spaces. Further, certain analytic problems are tractable for domains in this family even when the boundary is non-smooth. In particular, it is possible to characterize the domains in this family where the dbar-Neumann operator on (0, q)-forms is compact (which generalizes an old result of Fu-Straube for convex domains).<br />
<br />
===Hong Wang===<br />
<br />
Title: Improved decoupling for the parabola<br />
<br />
Abstract: In 2014, Bourgain and Demeter proved the $l^2$ decoupling estimates for the paraboloid with constant $R^{\epsilon}$. <br />
We prove an $(l^2, L^6)$ decoupling inequality for the parabola with constant $(\log R)^c$. This is joint work with Larry Guth and Dominique Maldague.<br />
<br />
===Kevin Luli===<br />
<br />
Title: Smooth Nonnegative Interpolation<br />
<br />
Abstract: Suppose E is an arbitrary subset of R^n. Let f: E \rightarrow [0, \infty). How can we decide if f extends to a nonnegative function C^m function F defined on all of R^n? Suppose E is finite. Can we compute a nonnegative C^m function F on R^n that agrees with f on E with the least possible C^m norm? How many computer operations does this take? In this talk, I will explain recent results on these problems. Non-negativity is one of the most important shape preserving properties for interpolants. In real life applications, the range of the interpolant is imposed by nature. For example, probability density, the amount of snow, rain, humidity, chemical concentration are all nonnegative quantities and are of interest in natural sciences. Even in one dimension, the existing techniques can only handle nonnegative interpolation under special assumptions on the data set. Our results work without any assumptions on the data sets. <br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=20141Analysis Seminar2020-10-14T20:02:19Z<p>Seeger: /* Current Analysis Seminar Schedule */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier, or on different days, to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#Alexei Poltoratski | Dirac inner functions ]]<br />
| <br />
|-<br />
|September 29<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#Polona Durcik and Joris Rooslinktoabstract | A triangular Hilbert transform with curvature, I ]]<br />
| <br />
|-<br />
|Wednesday September 30, 4 p.m.<br />
|Polona Durcik<br />
|Chapman University<br />
|[[#Polona Durcik and Joris Roos | A triangular Hilbert transform with curvature, II ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#Andrew Zimmer | Complex analytic problems on domains with good intrinsic geometry ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#Hong Wang | Improved decoupling for the parabola ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#Kevin Luli | Smooth Nonnegative Interpolation ]]<br />
| <br />
|-<br />
|October 21, 4.00 p.m.<br />
|Niclas Technau<br />
|W Madison<br />
|[[#Niclas Technau | Number theoretic applications of oscillatory integrals ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|Monday, November 2, 4 p.m.<br />
|Yuval Wigderson<br />
|Stanford University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
|Shukun Wu<br />
|University of Illinois (Urbana-Champaign)<br />
||[[#linktoabstract | Title ]] <br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|Alejandra Gaitán<br />
| Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 9<br />
|Bingyang Hu<br />
|Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 16<br />
|David Beltran<br />
|UW - Madison<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|February 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 2<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 9<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 16<br />
|Ziming Shi<br />
|Rutgers University<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 30<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 6<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 13<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 20<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 27<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|May 4<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|}<br />
<br />
=Abstracts=<br />
===Alexei Poltoratski===<br />
<br />
Title: Dirac inner functions<br />
<br />
Abstract: My talk will focus on some new (and old) complex analytic objects arising from Dirac systems of differential equations.<br />
We will discuss connections between problems in complex function theory, spectral and scattering problems for differential<br />
operators and the non-linear Fourier transform.<br />
<br />
===Polona Durcik and Joris Roos===<br />
<br />
Title: A triangular Hilbert transform with curvature, I & II.<br />
<br />
Abstract: The triangular Hilbert is a two-dimensional bilinear singular<br />
originating in time-frequency analysis. No Lp bounds are currently<br />
known for this operator.<br />
In these two talks we discuss a recent joint work with Michael Christ<br />
on a variant of the triangular Hilbert transform involving curvature.<br />
This object is closely related to the bilinear Hilbert transform with<br />
curvature and a maximally modulated singular integral of Stein-Wainger<br />
type. As an application we also discuss a quantitative nonlinear Roth<br />
type theorem on patterns in the Euclidean plane.<br />
The second talk will focus on the proof of a key ingredient, a certain<br />
regularity estimate for a local operator.<br />
<br />
===Andrew Zimmer===<br />
<br />
Title: Complex analytic problems on domains with good intrinsic geometry<br />
<br />
Abstract: In this talk, I will describe a new class of domains in complex Euclidean space which is defined in terms of the existence of a Kaehler metric with good geometric properties. This class is invariant under biholomorphism and includes many well-studied classes of domains such as strongly pseudoconvex domains, finite type domains in dimension two, convex domains, homogeneous domains, and embeddings of Teichmuller spaces. Further, certain analytic problems are tractable for domains in this family even when the boundary is non-smooth. In particular, it is possible to characterize the domains in this family where the dbar-Neumann operator on (0, q)-forms is compact (which generalizes an old result of Fu-Straube for convex domains).<br />
<br />
===Hong Wang===<br />
<br />
Title: Improved decoupling for the parabola<br />
<br />
Abstract: In 2014, Bourgain and Demeter proved the $l^2$ decoupling estimates for the paraboloid with constant $R^{\epsilon}$. <br />
We prove an $(l^2, L^6)$ decoupling inequality for the parabola with constant $(\log R)^c$. This is joint work with Larry Guth and Dominique Maldague.<br />
<br />
===Kevin Luli===<br />
<br />
Title: Smooth Nonnegative Interpolation<br />
<br />
Abstract: Suppose E is an arbitrary subset of R^n. Let f: E \rightarrow [0, \infty). How can we decide if f extends to a nonnegative function C^m function F defined on all of R^n? Suppose E is finite. Can we compute a nonnegative C^m function F on R^n that agrees with f on E with the least possible C^m norm? How many computer operations does this take? In this talk, I will explain recent results on these problems. Non-negativity is one of the most important shape preserving properties for interpolants. In real life applications, the range of the interpolant is imposed by nature. For example, probability density, the amount of snow, rain, humidity, chemical concentration are all nonnegative quantities and are of interest in natural sciences. Even in one dimension, the existing techniques can only handle nonnegative interpolation under special assumptions on the data set. Our results work without any assumptions on the data sets. <br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=20098Analysis Seminar2020-10-08T11:16:23Z<p>Seeger: /* Abstracts */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier, or on different days, to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#Alexei Poltoratski | Dirac inner functions ]]<br />
| <br />
|-<br />
|September 29<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#Polona Durcik and Joris Rooslinktoabstract | A triangular Hilbert transform with curvature, I ]]<br />
| <br />
|-<br />
|Wednesday September 30, 4 p.m.<br />
|Polona Durcik<br />
|Chapman University<br />
|[[#Polona Durcik and Joris Roos | A triangular Hilbert transform with curvature, II ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#Andrew Zimmer | Complex analytic problems on domains with good intrinsic geometry ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#Hong Wang | Improved decoupling for the parabola ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#Kevin Luli | Smooth Nonnegative Interpolation ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|Monday, November 2, 4 p.m.<br />
|Yuval Wigderson<br />
|Stanford University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
|Shukun Wu<br />
|University of Illinois (Urbana-Champaign)<br />
||[[#linktoabstract | Title ]] <br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|Alejandra Gaitán<br />
| Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 9<br />
|Bingyang Hu<br />
|Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 16<br />
|David Beltran<br />
|UW - Madison<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|February 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 2<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 9<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 16<br />
|Ziming Shi<br />
|Rutgers University<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 30<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 6<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 13<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 20<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 27<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|May 4<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|}<br />
<br />
=Abstracts=<br />
===Alexei Poltoratski===<br />
<br />
Title: Dirac inner functions<br />
<br />
Abstract: My talk will focus on some new (and old) complex analytic objects arising from Dirac systems of differential equations.<br />
We will discuss connections between problems in complex function theory, spectral and scattering problems for differential<br />
operators and the non-linear Fourier transform.<br />
<br />
===Polona Durcik and Joris Roos===<br />
<br />
Title: A triangular Hilbert transform with curvature, I & II.<br />
<br />
Abstract: The triangular Hilbert is a two-dimensional bilinear singular<br />
originating in time-frequency analysis. No Lp bounds are currently<br />
known for this operator.<br />
In these two talks we discuss a recent joint work with Michael Christ<br />
on a variant of the triangular Hilbert transform involving curvature.<br />
This object is closely related to the bilinear Hilbert transform with<br />
curvature and a maximally modulated singular integral of Stein-Wainger<br />
type. As an application we also discuss a quantitative nonlinear Roth<br />
type theorem on patterns in the Euclidean plane.<br />
The second talk will focus on the proof of a key ingredient, a certain<br />
regularity estimate for a local operator.<br />
<br />
===Andrew Zimmer===<br />
<br />
Title: Complex analytic problems on domains with good intrinsic geometry<br />
<br />
Abstract: In this talk, I will describe a new class of domains in complex Euclidean space which is defined in terms of the existence of a Kaehler metric with good geometric properties. This class is invariant under biholomorphism and includes many well-studied classes of domains such as strongly pseudoconvex domains, finite type domains in dimension two, convex domains, homogeneous domains, and embeddings of Teichmuller spaces. Further, certain analytic problems are tractable for domains in this family even when the boundary is non-smooth. In particular, it is possible to characterize the domains in this family where the dbar-Neumann operator on (0, q)-forms is compact (which generalizes an old result of Fu-Straube for convex domains).<br />
<br />
===Hong Wang===<br />
<br />
Title: Improved decoupling for the parabola<br />
<br />
Abstract: In 2014, Bourgain and Demeter proved the $l^2$ decoupling estimates for the paraboloid with constant $R^{\epsilon}$. <br />
We prove an $(l^2, L^6)$ decoupling inequality for the parabola with constant $(\log R)^c$. This is joint work with Larry Guth and Dominique Maldague.<br />
<br />
===Kevin Luli===<br />
<br />
Title: Smooth Nonnegative Interpolation<br />
<br />
Abstract: Suppose E is an arbitrary subset of R^n. Let f: E \rightarrow [0, \infty). How can we decide if f extends to a nonnegative function C^m function F defined on all of R^n? Suppose E is finite. Can we compute a nonnegative C^m function F on R^n that agrees with f on E with the least possible C^m norm? How many computer operations does this take? In this talk, I will explain recent results on these problems. Non-negativity is one of the most important shape preserving properties for interpolants. In real life applications, the range of the interpolant is imposed by nature. For example, probability density, the amount of snow, rain, humidity, chemical concentration are all nonnegative quantities and are of interest in natural sciences. Even in one dimension, the existing techniques can only handle nonnegative interpolation under special assumptions on the data set. Our results work without any assumptions on the data sets. <br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=20097Analysis Seminar2020-10-08T11:15:57Z<p>Seeger: /* Current Analysis Seminar Schedule */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier, or on different days, to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#Alexei Poltoratski | Dirac inner functions ]]<br />
| <br />
|-<br />
|September 29<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#Polona Durcik and Joris Rooslinktoabstract | A triangular Hilbert transform with curvature, I ]]<br />
| <br />
|-<br />
|Wednesday September 30, 4 p.m.<br />
|Polona Durcik<br />
|Chapman University<br />
|[[#Polona Durcik and Joris Roos | A triangular Hilbert transform with curvature, II ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#Andrew Zimmer | Complex analytic problems on domains with good intrinsic geometry ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#Hong Wang | Improved decoupling for the parabola ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#Kevin Luli | Smooth Nonnegative Interpolation ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|Monday, November 2, 4 p.m.<br />
|Yuval Wigderson<br />
|Stanford University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
|Shukun Wu<br />
|University of Illinois (Urbana-Champaign)<br />
||[[#linktoabstract | Title ]] <br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|Alejandra Gaitán<br />
| Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 9<br />
|Bingyang Hu<br />
|Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 16<br />
|David Beltran<br />
|UW - Madison<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|February 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 2<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 9<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 16<br />
|Ziming Shi<br />
|Rutgers University<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 30<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 6<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 13<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 20<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 27<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|May 4<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|}<br />
<br />
=Abstracts=<br />
===Alexei Poltoratski===<br />
<br />
Title: Dirac inner functions<br />
<br />
Abstract: My talk will focus on some new (and old) complex analytic objects arising from Dirac systems of differential equations.<br />
We will discuss connections between problems in complex function theory, spectral and scattering problems for differential<br />
operators and the non-linear Fourier transform.<br />
<br />
<br />
===Polona Durcik and Joris Roos===<br />
<br />
Title: A triangular Hilbert transform with curvature, I & II.<br />
<br />
Abstract: The triangular Hilbert is a two-dimensional bilinear singular<br />
originating in time-frequency analysis. No Lp bounds are currently<br />
known for this operator.<br />
In these two talks we discuss a recent joint work with Michael Christ<br />
on a variant of the triangular Hilbert transform involving curvature.<br />
This object is closely related to the bilinear Hilbert transform with<br />
curvature and a maximally modulated singular integral of Stein-Wainger<br />
type. As an application we also discuss a quantitative nonlinear Roth<br />
type theorem on patterns in the Euclidean plane.<br />
The second talk will focus on the proof of a key ingredient, a certain<br />
regularity estimate for a local operator.<br />
<br />
===Andrew Zimmer===<br />
<br />
Title: Complex analytic problems on domains with good intrinsic geometry<br />
<br />
Abstract: In this talk, I will describe a new class of domains in complex Euclidean space which is defined in terms of the existence of a Kaehler metric with good geometric properties. This class is invariant under biholomorphism and includes many well-studied classes of domains such as strongly pseudoconvex domains, finite type domains in dimension two, convex domains, homogeneous domains, and embeddings of Teichmuller spaces. Further, certain analytic problems are tractable for domains in this family even when the boundary is non-smooth. In particular, it is possible to characterize the domains in this family where the dbar-Neumann operator on (0, q)-forms is compact (which generalizes an old result of Fu-Straube for convex domains).<br />
<br />
===Hong Wang===<br />
<br />
Title: Improved decoupling for the parabola<br />
<br />
Abstract: In 2014, Bourgain and Demeter proved the $l^2$ decoupling estimates for the paraboloid with constant $R^{\epsilon}$. <br />
We prove an $(l^2, L^6)$ decoupling inequality for the parabola with constant $(\log R)^c$. This is joint work with Larry Guth and Dominique Maldague.<br />
<br />
===Kevin Luli===<br />
<br />
Title: Smooth Nonnegative Interpolation<br />
<br />
Abstract: Suppose E is an arbitrary subset of R^n. Let f: E \rightarrow [0, \infty). How can we decide if f extends to a nonnegative function C^m function F defined on all of R^n? Suppose E is finite. Can we compute a nonnegative C^m function F on R^n that agrees with f on E with the least possible C^m norm? How many computer operations does this take? In this talk, I will explain recent results on these problems. Non-negativity is one of the most important shape preserving properties for interpolants. In real life applications, the range of the interpolant is imposed by nature. For example, probability density, the amount of snow, rain, humidity, chemical concentration are all nonnegative quantities and are of interest in natural sciences. Even in one dimension, the existing techniques can only handle nonnegative interpolation under special assumptions on the data set. Our results work without any assumptions on the data sets. <br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=20096Analysis Seminar2020-10-08T11:08:10Z<p>Seeger: /* Abstracts */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier, or on different days, to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#Alexei Poltoratski | Dirac inner functions ]]<br />
| <br />
|-<br />
|September 29<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#Polona Durcik and Joris Rooslinktoabstract | A triangular Hilbert transform with curvature, I ]]<br />
| <br />
|-<br />
|Wednesday September 30, 4 p.m.<br />
|Polona Durcik<br />
|Chapman University<br />
|[[#Polona Durcik and Joris Roos | A triangular Hilbert transform with curvature, II ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#Andrew Zimmer | Complex analytic problems on domains with good intrinsic geometry ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#Hong Wang | Improved decoupling for the parabola ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Smooth Nonnegative Interpolation ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|Monday, November 2, 4 p.m.<br />
|Yuval Wigderson<br />
|Stanford University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
|Shukun Wu<br />
|University of Illinois (Urbana-Champaign)<br />
||[[#linktoabstract | Title ]] <br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|Alejandra Gaitán<br />
| Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 9<br />
|Bingyang Hu<br />
|Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 16<br />
|David Beltran<br />
|UW - Madison<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|February 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 2<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 9<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 16<br />
|Ziming Shi<br />
|Rutgers University<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 30<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 6<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 13<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 20<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 27<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|May 4<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|}<br />
<br />
=Abstracts=<br />
===Alexei Poltoratski===<br />
<br />
Title: Dirac inner functions<br />
<br />
Abstract: My talk will focus on some new (and old) complex analytic objects arising from Dirac systems of differential equations.<br />
We will discuss connections between problems in complex function theory, spectral and scattering problems for differential<br />
operators and the non-linear Fourier transform.<br />
<br />
<br />
===Polona Durcik and Joris Roos===<br />
<br />
Title: A triangular Hilbert transform with curvature, I & II.<br />
<br />
Abstract: The triangular Hilbert is a two-dimensional bilinear singular<br />
originating in time-frequency analysis. No Lp bounds are currently<br />
known for this operator.<br />
In these two talks we discuss a recent joint work with Michael Christ<br />
on a variant of the triangular Hilbert transform involving curvature.<br />
This object is closely related to the bilinear Hilbert transform with<br />
curvature and a maximally modulated singular integral of Stein-Wainger<br />
type. As an application we also discuss a quantitative nonlinear Roth<br />
type theorem on patterns in the Euclidean plane.<br />
The second talk will focus on the proof of a key ingredient, a certain<br />
regularity estimate for a local operator.<br />
<br />
===Andrew Zimmer===<br />
<br />
Title: Complex analytic problems on domains with good intrinsic geometry<br />
<br />
Abstract: In this talk, I will describe a new class of domains in complex Euclidean space which is defined in terms of the existence of a Kaehler metric with good geometric properties. This class is invariant under biholomorphism and includes many well-studied classes of domains such as strongly pseudoconvex domains, finite type domains in dimension two, convex domains, homogeneous domains, and embeddings of Teichmuller spaces. Further, certain analytic problems are tractable for domains in this family even when the boundary is non-smooth. In particular, it is possible to characterize the domains in this family where the dbar-Neumann operator on (0, q)-forms is compact (which generalizes an old result of Fu-Straube for convex domains).<br />
<br />
===Hong Wang===<br />
<br />
Title: Improved decoupling for the parabola<br />
<br />
Abstract: In 2014, Bourgain and Demeter proved the $l^2$ decoupling estimates for the paraboloid with constant $R^{\epsilon}$. <br />
We prove an $(l^2, L^6)$ decoupling inequality for the parabola with constant $(\log R)^c$. This is joint work with Larry Guth and Dominique Maldague.<br />
<br />
===Kevin Luli===<br />
<br />
Title: Smooth Nonnegative Interpolation<br />
<br />
Abstract: Suppose E is an arbitrary subset of R^n. Let f: E \rightarrow [0, \infty). How can we decide if f extends to a nonnegative function C^m function F defined on all of R^n? Suppose E is finite. Can we compute a nonnegative C^m function F on R^n that agrees with f on E with the least possible C^m norm? How many computer operations does this take? In this talk, I will explain recent results on these problems. Non-negativity is one of the most important shape preserving properties for interpolants. In real life applications, the range of the interpolant is imposed by nature. For example, probability density, the amount of snow, rain, humidity, chemical concentration are all nonnegative quantities and are of interest in natural sciences. Even in one dimension, the existing techniques can only handle nonnegative interpolation under special assumptions on the data set. Our results work without any assumptions on the data sets. <br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=20095Analysis Seminar2020-10-08T11:06:26Z<p>Seeger: /* Current Analysis Seminar Schedule */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier, or on different days, to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#Alexei Poltoratski | Dirac inner functions ]]<br />
| <br />
|-<br />
|September 29<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#Polona Durcik and Joris Rooslinktoabstract | A triangular Hilbert transform with curvature, I ]]<br />
| <br />
|-<br />
|Wednesday September 30, 4 p.m.<br />
|Polona Durcik<br />
|Chapman University<br />
|[[#Polona Durcik and Joris Roos | A triangular Hilbert transform with curvature, II ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#Andrew Zimmer | Complex analytic problems on domains with good intrinsic geometry ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#Hong Wang | Improved decoupling for the parabola ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Smooth Nonnegative Interpolation ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|Monday, November 2, 4 p.m.<br />
|Yuval Wigderson<br />
|Stanford University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
|Shukun Wu<br />
|University of Illinois (Urbana-Champaign)<br />
||[[#linktoabstract | Title ]] <br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|Alejandra Gaitán<br />
| Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 9<br />
|Bingyang Hu<br />
|Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 16<br />
|David Beltran<br />
|UW - Madison<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|February 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 2<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 9<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 16<br />
|Ziming Shi<br />
|Rutgers University<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 30<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 6<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 13<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 20<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 27<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|May 4<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|}<br />
<br />
=Abstracts=<br />
===Alexei Poltoratski===<br />
<br />
Title: Dirac inner functions<br />
<br />
Abstract: My talk will focus on some new (and old) complex analytic objects arising from Dirac systems of differential equations.<br />
We will discuss connections between problems in complex function theory, spectral and scattering problems for differential<br />
operators and the non-linear Fourier transform.<br />
<br />
<br />
===Polona Durcik and Joris Roos===<br />
<br />
Title: A triangular Hilbert transform with curvature, I & II.<br />
<br />
Abstract: The triangular Hilbert is a two-dimensional bilinear singular<br />
originating in time-frequency analysis. No Lp bounds are currently<br />
known for this operator.<br />
In these two talks we discuss a recent joint work with Michael Christ<br />
on a variant of the triangular Hilbert transform involving curvature.<br />
This object is closely related to the bilinear Hilbert transform with<br />
curvature and a maximally modulated singular integral of Stein-Wainger<br />
type. As an application we also discuss a quantitative nonlinear Roth<br />
type theorem on patterns in the Euclidean plane.<br />
The second talk will focus on the proof of a key ingredient, a certain<br />
regularity estimate for a local operator.<br />
<br />
===Andrew Zimmer===<br />
<br />
Title: Complex analytic problems on domains with good intrinsic geometry<br />
<br />
Abstract: In this talk, I will describe a new class of domains in complex Euclidean space which is defined in terms of the existence of a Kaehler metric with good geometric properties. This class is invariant under biholomorphism and includes many well-studied classes of domains such as strongly pseudoconvex domains, finite type domains in dimension two, convex domains, homogeneous domains, and embeddings of Teichmuller spaces. Further, certain analytic problems are tractable for domains in this family even when the boundary is non-smooth. In particular, it is possible to characterize the domains in this family where the dbar-Neumann operator on (0, q)-forms is compact (which generalizes an old result of Fu-Straube for convex domains).<br />
<br />
===Hong Wang===<br />
<br />
Title: Improved decoupling for the parabola<br />
<br />
Abstract: In 2014, Bourgain and Demeter proved the $l^2$ decoupling estimates for the paraboloid with constant $R^{\epsilon}$. <br />
We prove an $(l^2, L^6)$ decoupling inequality for the parabola with constant $(\log R)^c$. This is joint work with Larry Guth and Dominique Maldague.<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=20048Analysis Seminar2020-10-01T01:43:06Z<p>Seeger: /* Abstracts */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier, or on different days, to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#Alexei Poltoratski | Dirac inner functions ]]<br />
| <br />
|-<br />
|September 29<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#Polona Durcik and Joris Rooslinktoabstract | A triangular Hilbert transform with curvature, I ]]<br />
| <br />
|-<br />
|Wednesday September 30, 4 p.m.<br />
|Polona Durcik<br />
|Chapman University<br />
|[[#Polona Durcik and Joris Roos | A triangular Hilbert transform with curvature, II ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#Andrew Zimmer | Complex analytic problems on domains with good intrinsic geometry ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|Monday, November 2, 4 p.m.<br />
|Yuval Wigderson<br />
|Stanford University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
|Shukun Wu<br />
|University of Illinois (Urbana-Champaign)<br />
||[[#linktoabstract | Title ]] <br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|Alejandra Gaitán<br />
| Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 9<br />
|Bingyang Hu<br />
|Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 16<br />
|David Beltran<br />
|UW - Madison<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|February 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 2<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 9<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 16<br />
|Ziming Shi<br />
|Rutgers University<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 30<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 6<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 13<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 20<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 27<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|May 4<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|}<br />
<br />
=Abstracts=<br />
===Alexei Poltoratski===<br />
<br />
Title: Dirac inner functions<br />
<br />
Abstract: My talk will focus on some new (and old) complex analytic objects arising from Dirac systems of differential equations.<br />
We will discuss connections between problems in complex function theory, spectral and scattering problems for differential<br />
operators and the non-linear Fourier transform.<br />
<br />
<br />
===Polona Durcik and Joris Roos===<br />
<br />
Title: A triangular Hilbert transform with curvature, I & II.<br />
<br />
Abstract: The triangular Hilbert is a two-dimensional bilinear singular<br />
originating in time-frequency analysis. No Lp bounds are currently<br />
known for this operator.<br />
In these two talks we discuss a recent joint work with Michael Christ<br />
on a variant of the triangular Hilbert transform involving curvature.<br />
This object is closely related to the bilinear Hilbert transform with<br />
curvature and a maximally modulated singular integral of Stein-Wainger<br />
type. As an application we also discuss a quantitative nonlinear Roth<br />
type theorem on patterns in the Euclidean plane.<br />
The second talk will focus on the proof of a key ingredient, a certain<br />
regularity estimate for a local operator.<br />
<br />
===Andrew Zimmer===<br />
<br />
Title: Complex analytic problems on domains with good intrinsic geometry<br />
<br />
Abstract: In this talk, I will describe a new class of domains in complex Euclidean space which is defined in terms of the existence of a Kaehler metric with good geometric properties. This class is invariant under biholomorphism and includes many well-studied classes of domains such as strongly pseudoconvex domains, finite type domains in dimension two, convex domains, homogeneous domains, and embeddings of Teichmuller spaces. Further, certain analytic problems are tractable for domains in this family even when the boundary is non-smooth. In particular, it is possible to characterize the domains in this family where the dbar-Neumann operator on (0, q)-forms is compact (which generalizes an old result of Fu-Straube for convex domains).<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=20047Analysis Seminar2020-10-01T01:42:34Z<p>Seeger: /* Abstracts */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier, or on different days, to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#Alexei Poltoratski | Dirac inner functions ]]<br />
| <br />
|-<br />
|September 29<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#Polona Durcik and Joris Rooslinktoabstract | A triangular Hilbert transform with curvature, I ]]<br />
| <br />
|-<br />
|Wednesday September 30, 4 p.m.<br />
|Polona Durcik<br />
|Chapman University<br />
|[[#Polona Durcik and Joris Roos | A triangular Hilbert transform with curvature, II ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#Andrew Zimmer | Complex analytic problems on domains with good intrinsic geometry ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|Monday, November 2, 4 p.m.<br />
|Yuval Wigderson<br />
|Stanford University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
|Shukun Wu<br />
|University of Illinois (Urbana-Champaign)<br />
||[[#linktoabstract | Title ]] <br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|Alejandra Gaitán<br />
| Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 9<br />
|Bingyang Hu<br />
|Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 16<br />
|David Beltran<br />
|UW - Madison<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|February 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 2<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 9<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 16<br />
|Ziming Shi<br />
|Rutgers University<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 30<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 6<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 13<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 20<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 27<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|May 4<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|}<br />
<br />
=Abstracts=<br />
===Alexei Poltoratski===<br />
<br />
Title: Dirac inner functions<br />
<br />
Abstract: My talk will focus on some new (and old) complex analytic objects arising from Dirac systems of differential equations.<br />
We will discuss connections between problems in complex function theory, spectral and scattering problems for differential<br />
operators and the non-linear Fourier transform.<br />
<br />
<br />
===Polona Durcik and Joris Roos===<br />
<br />
Title: A triangular Hilbert transform with curvature, I & II.<br />
<br />
Abstract: The triangular Hilbert is a two-dimensional bilinear singular<br />
originating in time-frequency analysis. No Lp bounds are currently<br />
known for this operator.<br />
In these two talks we discuss a recent joint work with Michael Christ<br />
on a variant of the triangular Hilbert transform involving curvature.<br />
This object is closely related to the bilinear Hilbert transform with<br />
curvature and a maximally modulated singular integral of Stein-Wainger<br />
type. As an application we also discuss a quantitative nonlinear Roth<br />
type theorem on patterns in the Euclidean plane.<br />
The second talk will focus on the proof of a key ingredient, a certain<br />
regularity estimate for a local operator.<br />
<br />
===Andrew Zimmer===<br />
<br />
Title: Complex analytic problems on domains with good intrinsic geometry<br />
<br />
Abstract: In this talk, I will describe a new class of domains in complex Euclidean space which is defined in terms of the existence of a Kaehler metric with good geometric properties. This class is invariant under biholomorphism and includes many well-studied classes of domains such as strongly pseudoconvex domains, finite type domains in dimension two, convex domains, homogeneous domains, and embeddings of Teichmuller spaces. Further, certain analytic problems are tractable for domains in this family even when the boundary is non-smooth. In particular, it is possible to characterize the domains in this family where the dbar-Neumann operator on (0, q)-forms is compact (which generalizes an old result of Fu-Straube for convex domains).<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=20046Analysis Seminar2020-10-01T01:41:28Z<p>Seeger: /* Andrew Zimmer */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier, or on different days, to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#Alexei Poltoratski | Dirac inner functions ]]<br />
| <br />
|-<br />
|September 29<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#Polona Durcik and Joris Rooslinktoabstract | A triangular Hilbert transform with curvature, I ]]<br />
| <br />
|-<br />
|Wednesday September 30, 4 p.m.<br />
|Polona Durcik<br />
|Chapman University<br />
|[[#Polona Durcik and Joris Roos | A triangular Hilbert transform with curvature, II ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#Andrew Zimmer | Complex analytic problems on domains with good intrinsic geometry ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|Monday, November 2, 4 p.m.<br />
|Yuval Wigderson<br />
|Stanford University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
|Shukun Wu<br />
|University of Illinois (Urbana-Champaign)<br />
||[[#linktoabstract | Title ]] <br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|Alejandra Gaitán<br />
| Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 9<br />
|Bingyang Hu<br />
|Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 16<br />
|David Beltran<br />
|UW - Madison<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|February 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 2<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 9<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 16<br />
|Ziming Shi<br />
|Rutgers University<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 30<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 6<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 13<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 20<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 27<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|May 4<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|}<br />
<br />
=Abstracts=<br />
===Alexei Poltoratski===<br />
<br />
Title: Dirac inner functions<br />
<br />
Abstract: My talk will focus on some new (and old) complex analytic objects arising from Dirac systems of differential equations.<br />
We will discuss connections between problems in complex function theory, spectral and scattering problems for differential<br />
operators and the non-linear Fourier transform.<br />
<br />
<br />
===Polona Durcik and Joris Roos===<br />
<br />
Title: A triangular Hilbert transform with curvature, I & II.<br />
<br />
Abstract: The triangular Hilbert is a two-dimensional bilinear singular<br />
originating in time-frequency analysis. No Lp bounds are currently<br />
known for this operator.<br />
In these two talks we discuss a recent joint work with Michael Christ<br />
on a variant of the triangular Hilbert transform involving curvature.<br />
This object is closely related to the bilinear Hilbert transform with<br />
curvature and a maximally modulated singular integral of Stein-Wainger<br />
type. As an application we also discuss a quantitative nonlinear Roth<br />
type theorem on patterns in the Euclidean plane.<br />
The second talk will focus on the proof of a key ingredient, a certain<br />
regularity estimate for a local operator.<br />
<br />
===Andrew Zimmer===<br />
<br />
Title: Complex analytic problems on domains with good intrinsic geometry<br />
<br />
Abstract: In this talk, I will describe a new class of domains in complex Euclidean space which is defined in terms of the existence of a Kaehler metric with good geometric properties. This class is invariant under biholomorphism and includes many well-studied classes of domains such as strongly pseudoconvex domains, finite type domains in dimension two, convex domains, homogeneous domains, and embeddings of Teichmuller spaces. Further, certain analytic problems are tractable for domains in this family even when the boundary is non-smooth. In particular, it is possible to characterize the domains in this family where the dbar-Neumann operator on (0, q)-forms is compact (which generalizes an old result of Fu-Straube for convex domains).<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=20045Analysis Seminar2020-10-01T01:36:16Z<p>Seeger: /* Andrew Zimmer */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier, or on different days, to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#Alexei Poltoratski | Dirac inner functions ]]<br />
| <br />
|-<br />
|September 29<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#Polona Durcik and Joris Rooslinktoabstract | A triangular Hilbert transform with curvature, I ]]<br />
| <br />
|-<br />
|Wednesday September 30, 4 p.m.<br />
|Polona Durcik<br />
|Chapman University<br />
|[[#Polona Durcik and Joris Roos | A triangular Hilbert transform with curvature, II ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#Andrew Zimmer | Complex analytic problems on domains with good intrinsic geometry ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|Monday, November 2, 4 p.m.<br />
|Yuval Wigderson<br />
|Stanford University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
|Shukun Wu<br />
|University of Illinois (Urbana-Champaign)<br />
||[[#linktoabstract | Title ]] <br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|Alejandra Gaitán<br />
| Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 9<br />
|Bingyang Hu<br />
|Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 16<br />
|David Beltran<br />
|UW - Madison<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|February 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 2<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 9<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 16<br />
|Ziming Shi<br />
|Rutgers University<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 30<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 6<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 13<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 20<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 27<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|May 4<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|}<br />
<br />
=Abstracts=<br />
===Alexei Poltoratski===<br />
<br />
Title: Dirac inner functions<br />
<br />
Abstract: My talk will focus on some new (and old) complex analytic objects arising from Dirac systems of differential equations.<br />
We will discuss connections between problems in complex function theory, spectral and scattering problems for differential<br />
operators and the non-linear Fourier transform.<br />
<br />
<br />
===Polona Durcik and Joris Roos===<br />
<br />
Title: A triangular Hilbert transform with curvature, I & II.<br />
<br />
Abstract: The triangular Hilbert is a two-dimensional bilinear singular<br />
originating in time-frequency analysis. No Lp bounds are currently<br />
known for this operator.<br />
In these two talks we discuss a recent joint work with Michael Christ<br />
on a variant of the triangular Hilbert transform involving curvature.<br />
This object is closely related to the bilinear Hilbert transform with<br />
curvature and a maximally modulated singular integral of Stein-Wainger<br />
type. As an application we also discuss a quantitative nonlinear Roth<br />
type theorem on patterns in the Euclidean plane.<br />
The second talk will focus on the proof of a key ingredient, a certain<br />
regularity estimate for a local operator.<br />
<br />
===Andrew Zimmer===<br />
<br />
Title: Complex analytic problems on domains with good intrinsic geometry<br />
<br />
Abstract: In this talk, I will describe a new class of domains in complex Euclidean space which is defined in terms of the existence of a Kaehler metric with good geometric properties. This class is invariant under biholomorphism and includes many well-studied classes of domains such as strongly pseudoconvex domains, finite type domains in dimension two, convex domains, homogeneous domains, and embeddings of Teichmuller spaces. Further, certain analytic problems are tractable for domains in this family even when the boundary is non-smooth. In particular, it is possible to characterize the domains in this family where dbar-Neumann operator on (0, q)-forms is compact (which generalizes an old result of Fu-Straube for convex domains).<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=20044Analysis Seminar2020-10-01T01:35:54Z<p>Seeger: /* Name */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier, or on different days, to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#Alexei Poltoratski | Dirac inner functions ]]<br />
| <br />
|-<br />
|September 29<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#Polona Durcik and Joris Rooslinktoabstract | A triangular Hilbert transform with curvature, I ]]<br />
| <br />
|-<br />
|Wednesday September 30, 4 p.m.<br />
|Polona Durcik<br />
|Chapman University<br />
|[[#Polona Durcik and Joris Roos | A triangular Hilbert transform with curvature, II ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#Andrew Zimmer | Complex analytic problems on domains with good intrinsic geometry ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|Monday, November 2, 4 p.m.<br />
|Yuval Wigderson<br />
|Stanford University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
|Shukun Wu<br />
|University of Illinois (Urbana-Champaign)<br />
||[[#linktoabstract | Title ]] <br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|Alejandra Gaitán<br />
| Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 9<br />
|Bingyang Hu<br />
|Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 16<br />
|David Beltran<br />
|UW - Madison<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|February 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 2<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 9<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 16<br />
|Ziming Shi<br />
|Rutgers University<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 30<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 6<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 13<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 20<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 27<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|May 4<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|}<br />
<br />
=Abstracts=<br />
===Alexei Poltoratski===<br />
<br />
Title: Dirac inner functions<br />
<br />
Abstract: My talk will focus on some new (and old) complex analytic objects arising from Dirac systems of differential equations.<br />
We will discuss connections between problems in complex function theory, spectral and scattering problems for differential<br />
operators and the non-linear Fourier transform.<br />
<br />
<br />
===Polona Durcik and Joris Roos===<br />
<br />
Title: A triangular Hilbert transform with curvature, I & II.<br />
<br />
Abstract: The triangular Hilbert is a two-dimensional bilinear singular<br />
originating in time-frequency analysis. No Lp bounds are currently<br />
known for this operator.<br />
In these two talks we discuss a recent joint work with Michael Christ<br />
on a variant of the triangular Hilbert transform involving curvature.<br />
This object is closely related to the bilinear Hilbert transform with<br />
curvature and a maximally modulated singular integral of Stein-Wainger<br />
type. As an application we also discuss a quantitative nonlinear Roth<br />
type theorem on patterns in the Euclidean plane.<br />
The second talk will focus on the proof of a key ingredient, a certain<br />
regularity estimate for a local operator.<br />
<br />
===Andrew Zimmer===<br />
<br />
Title<br />
Complex analytic problems on domains with good intrinsic geometry<br />
<br />
Abstract<br />
In this talk, I will describe a new class of domains in complex Euclidean space which is defined in terms of the existence of a Kaehler metric with good geometric properties. This class is invariant under biholomorphism and includes many well-studied classes of domains such as strongly pseudoconvex domains, finite type domains in dimension two, convex domains, homogeneous domains, and embeddings of Teichmuller spaces. Further, certain analytic problems are tractable for domains in this family even when the boundary is non-smooth. In particular, it is possible to characterize the domains in this family where dbar-Neumann operator on (0, q)-forms is compact (which generalizes an old result of Fu-Straube for convex domains).<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=20043Analysis Seminar2020-10-01T01:34:25Z<p>Seeger: /* Current Analysis Seminar Schedule */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier, or on different days, to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#Alexei Poltoratski | Dirac inner functions ]]<br />
| <br />
|-<br />
|September 29<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#Polona Durcik and Joris Rooslinktoabstract | A triangular Hilbert transform with curvature, I ]]<br />
| <br />
|-<br />
|Wednesday September 30, 4 p.m.<br />
|Polona Durcik<br />
|Chapman University<br />
|[[#Polona Durcik and Joris Roos | A triangular Hilbert transform with curvature, II ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#Andrew Zimmer | Complex analytic problems on domains with good intrinsic geometry ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|Monday, November 2, 4 p.m.<br />
|Yuval Wigderson<br />
|Stanford University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
|Shukun Wu<br />
|University of Illinois (Urbana-Champaign)<br />
||[[#linktoabstract | Title ]] <br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|Alejandra Gaitán<br />
| Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 9<br />
|Bingyang Hu<br />
|Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 16<br />
|David Beltran<br />
|UW - Madison<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|February 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 2<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 9<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 16<br />
|Ziming Shi<br />
|Rutgers University<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 30<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 6<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 13<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 20<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 27<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|May 4<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|}<br />
<br />
=Abstracts=<br />
===Alexei Poltoratski===<br />
<br />
Title: Dirac inner functions<br />
<br />
Abstract: My talk will focus on some new (and old) complex analytic objects arising from Dirac systems of differential equations.<br />
We will discuss connections between problems in complex function theory, spectral and scattering problems for differential<br />
operators and the non-linear Fourier transform.<br />
<br />
<br />
===Polona Durcik and Joris Roos===<br />
<br />
Title: A triangular Hilbert transform with curvature, I & II.<br />
<br />
Abstract: The triangular Hilbert is a two-dimensional bilinear singular<br />
originating in time-frequency analysis. No Lp bounds are currently<br />
known for this operator.<br />
In these two talks we discuss a recent joint work with Michael Christ<br />
on a variant of the triangular Hilbert transform involving curvature.<br />
This object is closely related to the bilinear Hilbert transform with<br />
curvature and a maximally modulated singular integral of Stein-Wainger<br />
type. As an application we also discuss a quantitative nonlinear Roth<br />
type theorem on patterns in the Euclidean plane.<br />
The second talk will focus on the proof of a key ingredient, a certain<br />
regularity estimate for a local operator.<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=20014Analysis Seminar2020-09-28T19:47:11Z<p>Seeger: /* Current Analysis Seminar Schedule */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier, or on different days, to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#Alexei Poltoratski | Dirac inner functions ]]<br />
| <br />
|-<br />
|September 29<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#Polona Durcik and Joris Rooslinktoabstract | A triangular Hilbert transform with curvature, I ]]<br />
| <br />
|-<br />
|Wednesday September 30, 4 p.m.<br />
|Polona Durcik<br />
|Chapman University<br />
|[[#Polona Durcik and Joris Roos | A triangular Hilbert transform with curvature, II ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|Monday, November 2, 4 p.m.<br />
|Yuval Wigderson<br />
|Stanford University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
|Shukun Wu<br />
|University of Illinois (Urbana-Champaign)<br />
||[[#linktoabstract | Title ]] <br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|TBA<br />
| <br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 9<br />
|Bingyang Hu<br />
|Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 16<br />
|David Beltran<br />
|UW - Madison<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|February 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 2<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 9<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 16<br />
|Ziming Shi<br />
|Rutgers University<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 30<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 6<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 13<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 20<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 27<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|May 4<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|}<br />
<br />
=Abstracts=<br />
===Alexei Poltoratski===<br />
<br />
Title: Dirac inner functions<br />
<br />
Abstract: My talk will focus on some new (and old) complex analytic objects arising from Dirac systems of differential equations.<br />
We will discuss connections between problems in complex function theory, spectral and scattering problems for differential<br />
operators and the non-linear Fourier transform.<br />
<br />
<br />
===Polona Durcik and Joris Roos===<br />
<br />
Title: A triangular Hilbert transform with curvature, I & II.<br />
<br />
Abstract: The triangular Hilbert is a two-dimensional bilinear singular<br />
originating in time-frequency analysis. No Lp bounds are currently<br />
known for this operator.<br />
In these two talks we discuss a recent joint work with Michael Christ<br />
on a variant of the triangular Hilbert transform involving curvature.<br />
This object is closely related to the bilinear Hilbert transform with<br />
curvature and a maximally modulated singular integral of Stein-Wainger<br />
type. As an application we also discuss a quantitative nonlinear Roth<br />
type theorem on patterns in the Euclidean plane.<br />
The second talk will focus on the proof of a key ingredient, a certain<br />
regularity estimate for a local operator.<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19964Analysis Seminar2020-09-25T18:22:28Z<p>Seeger: /* Current Analysis Seminar Schedule */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier, or on different days, to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#Alexei Poltoratski | Dirac inner functions ]]<br />
| <br />
|-<br />
|September 29<br />
|Polona Durcik<br />
| Chapman University<br />
|[[#Polona Durcik and Joris Rooslinktoabstract | A triangular Hilbert transform with curvature, I ]]<br />
| <br />
|-<br />
|Wednesday September 30, 4 p.m.<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#Polona Durcik and Joris Roos | A triangular Hilbert transform with curvature, II ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|Monday, November 2, 4 p.m.<br />
|Yuval Wigderson<br />
|Stanford University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
|Shukun Wu<br />
|University of Illinois (Urbana-Champaign)<br />
||[[#linktoabstract | Title ]] <br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|TBA<br />
| <br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 9<br />
|Bingyang Hu<br />
|Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 16<br />
|David Beltran<br />
|UW - Madison<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|February 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 2<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 9<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 16<br />
|Ziming Shi<br />
|Rutgers University<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 30<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 6<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 13<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 20<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 27<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|May 4<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|}<br />
<br />
=Abstracts=<br />
===Alexei Poltoratski===<br />
<br />
Title: Dirac inner functions<br />
<br />
Abstract: My talk will focus on some new (and old) complex analytic objects arising from Dirac systems of differential equations.<br />
We will discuss connections between problems in complex function theory, spectral and scattering problems for differential<br />
operators and the non-linear Fourier transform.<br />
<br />
<br />
===Polona Durcik and Joris Roos===<br />
<br />
Title: A triangular Hilbert transform with curvature, I & II.<br />
<br />
Abstract: The triangular Hilbert is a two-dimensional bilinear singular<br />
originating in time-frequency analysis. No Lp bounds are currently<br />
known for this operator.<br />
In these two talks we discuss a recent joint work with Michael Christ<br />
on a variant of the triangular Hilbert transform involving curvature.<br />
This object is closely related to the bilinear Hilbert transform with<br />
curvature and a maximally modulated singular integral of Stein-Wainger<br />
type. As an application we also discuss a quantitative nonlinear Roth<br />
type theorem on patterns in the Euclidean plane.<br />
The second talk will focus on the proof of a key ingredient, a certain<br />
regularity estimate for a local operator.<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19960Analysis Seminar2020-09-25T05:57:59Z<p>Seeger: /* Current Analysis Seminar Schedule */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier, or on different days, to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#Alexei Poltoratski | Dirac inner functions ]]<br />
| <br />
|-<br />
|September 29<br />
|Polona Durcik<br />
| Chapman University<br />
|[[#Polona Durcik and Joris Rooslinktoabstract | A triangular Hilbert transform with curvature, I ]]<br />
| <br />
|-<br />
|Wednesday September 30, 4 p.m.<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#Polona Durcik and Joris Roos | A triangular Hilbert transform with curvature, II ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|Monday, November 2, 4 p.m.<br />
|Yuval Wigderson<br />
|Stanford University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
|Shukun Wu<br />
|University of Illinois (Urbana-Champaign)<br />
||[[#linktoabstract | Title ]] <br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|TBA<br />
| <br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 9<br />
|Bingyang Hu<br />
|Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 16<br />
|David Beltran<br />
|UW - Madison<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|February 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 2<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 9<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 16<br />
|TBA<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 23<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|March 30<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 6<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 13<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 20<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|April 27<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|<br />
|-<br />
|May 4<br />
|<br />
|<br />
|[[#linktoabstract | Title ]]<br />
|}<br />
<br />
=Abstracts=<br />
===Alexei Poltoratski===<br />
<br />
Title: Dirac inner functions<br />
<br />
Abstract: My talk will focus on some new (and old) complex analytic objects arising from Dirac systems of differential equations.<br />
We will discuss connections between problems in complex function theory, spectral and scattering problems for differential<br />
operators and the non-linear Fourier transform.<br />
<br />
<br />
===Polona Durcik and Joris Roos===<br />
<br />
Title: A triangular Hilbert transform with curvature, I & II.<br />
<br />
Abstract: The triangular Hilbert is a two-dimensional bilinear singular<br />
originating in time-frequency analysis. No Lp bounds are currently<br />
known for this operator.<br />
In these two talks we discuss a recent joint work with Michael Christ<br />
on a variant of the triangular Hilbert transform involving curvature.<br />
This object is closely related to the bilinear Hilbert transform with<br />
curvature and a maximally modulated singular integral of Stein-Wainger<br />
type. As an application we also discuss a quantitative nonlinear Roth<br />
type theorem on patterns in the Euclidean plane.<br />
The second talk will focus on the proof of a key ingredient, a certain<br />
regularity estimate for a local operator.<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19937Analysis Seminar2020-09-23T21:47:08Z<p>Seeger: /* Polona Durcik and Joris Roos */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier, or on different days, to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#Alexei Poltoratski | Dirac inner functions ]]<br />
| <br />
|-<br />
|September 29<br />
|Polona Durcik<br />
| Chapman University<br />
|[[#Polona Durcik and Joris Rooslinktoabstract | A triangular Hilbert transform with curvature, I ]]<br />
| <br />
|-<br />
|Wednesday September 30, 4 p.m.<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#Polona Durcik and Joris Roos | A triangular Hilbert transform with curvature, II ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|Monday, November 2, 4 p.m.<br />
|Yuval Wigderson<br />
|Stanford University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
|Shukun Wu<br />
|University of Illinois (Urbana-Champaign)<br />
||[[#linktoabstract | Title ]] <br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|TBA<br />
| <br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 9<br />
|Bingyang Hu<br />
|Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 16<br />
|David Beltran<br />
|UW - Madison<br />
|[[#linktoabstract | Title ]]<br />
|}<br />
<br />
=Abstracts=<br />
===Alexei Poltoratski===<br />
<br />
Title: Dirac inner functions<br />
<br />
Abstract: My talk will focus on some new (and old) complex analytic objects arising from Dirac systems of differential equations.<br />
We will discuss connections between problems in complex function theory, spectral and scattering problems for differential<br />
operators and the non-linear Fourier transform.<br />
<br />
<br />
===Polona Durcik and Joris Roos===<br />
<br />
Title: A triangular Hilbert transform with curvature, I & II.<br />
<br />
Abstract: The triangular Hilbert is a two-dimensional bilinear singular<br />
originating in time-frequency analysis. No Lp bounds are currently<br />
known for this operator.<br />
In these two talks we discuss a recent joint work with Michael Christ<br />
on a variant of the triangular Hilbert transform involving curvature.<br />
This object is closely related to the bilinear Hilbert transform with<br />
curvature and a maximally modulated singular integral of Stein-Wainger<br />
type. As an application we also discuss a quantitative nonlinear Roth<br />
type theorem on patterns in the Euclidean plane.<br />
The second talk will focus on the proof of a key ingredient, a certain<br />
regularity estimate for a local operator.<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19936Analysis Seminar2020-09-23T21:45:24Z<p>Seeger: </p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier, or on different days, to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#Alexei Poltoratski | Dirac inner functions ]]<br />
| <br />
|-<br />
|September 29<br />
|Polona Durcik<br />
| Chapman University<br />
|[[#Polona Durcik and Joris Rooslinktoabstract | A triangular Hilbert transform with curvature, I ]]<br />
| <br />
|-<br />
|Wednesday September 30, 4 p.m.<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#Polona Durcik and Joris Roos | A triangular Hilbert transform with curvature, II ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|Monday, November 2, 4 p.m.<br />
|Yuval Wigderson<br />
|Stanford University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
|Shukun Wu<br />
|University of Illinois (Urbana-Champaign)<br />
||[[#linktoabstract | Title ]] <br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|TBA<br />
| <br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 9<br />
|Bingyang Hu<br />
|Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 16<br />
|David Beltran<br />
|UW - Madison<br />
|[[#linktoabstract | Title ]]<br />
|}<br />
<br />
=Abstracts=<br />
===Alexei Poltoratski===<br />
<br />
Title: Dirac inner functions<br />
<br />
Abstract: My talk will focus on some new (and old) complex analytic objects arising from Dirac systems of differential equations.<br />
We will discuss connections between problems in complex function theory, spectral and scattering problems for differential<br />
operators and the non-linear Fourier transform.<br />
<br />
<br />
===Polona Durcik and Joris Roos===<br />
<br />
Title: A triangular Hilbert transform with curvature<br />
<br />
Abstract: The triangular Hilbert is a two-dimensional bilinear singular<br />
originating in time-frequency analysis. No Lp bounds are currently<br />
known for this operator.<br />
In these two talks we discuss a recent joint work with Michael Christ<br />
on a variant of the triangular Hilbert transform involving curvature.<br />
This object is closely related to the bilinear Hilbert transform with<br />
curvature and a maximally modulated singular integral of Stein-Wainger<br />
type. As an application we also discuss a quantitative nonlinear Roth<br />
type theorem on patterns in the Euclidean plane.<br />
The second talk will focus on the proof of a key ingredient, a certain<br />
regularity estimate for a local operator.<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19907Analysis Seminar2020-09-21T23:14:56Z<p>Seeger: /* Current Analysis Seminar Schedule */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#Alexei Poltoratski | Dirac inner functions ]]<br />
| <br />
|-<br />
|September 29<br />
|Polona Durcik<br />
| Chapman University<br />
|[[#Polona Durcik and Joris Rooslinktoabstract | A triangular Hilbert transform with curvature, I ]]<br />
| <br />
|-<br />
|Wednesday September 30, 4 p.m.<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#Polona Durcik and Joris Roos | A triangular Hilbert transform with curvature, II ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|Monday, November 2, 4 p.m.<br />
|Yuval Wigderson<br />
|Stanford University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
|Shukun Wu<br />
|University of Illinois (Urbana-Champaign)<br />
||[[#linktoabstract | Title ]] <br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|TBA<br />
| <br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 9<br />
|Bingyang Hu<br />
|Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 16<br />
|David Beltran<br />
|UW - Madison<br />
|[[#linktoabstract | Title ]]<br />
|}<br />
<br />
=Abstracts=<br />
===Alexei Poltoratski===<br />
<br />
Title: Dirac inner functions<br />
<br />
Abstract: My talk will focus on some new (and old) complex analytic objects arising from Dirac systems of differential equations.<br />
We will discuss connections between problems in complex function theory, spectral and scattering problems for differential<br />
operators and the non-linear Fourier transform.<br />
<br />
<br />
===Polona Durcik and Joris Roos===<br />
<br />
Title: A triangular Hilbert transform with curvature<br />
<br />
Abstract: The triangular Hilbert is a two-dimensional bilinear singular<br />
originating in time-frequency analysis. No Lp bounds are currently<br />
known for this operator.<br />
In these two talks we discuss a recent joint work with Michael Christ<br />
on a variant of the triangular Hilbert transform involving curvature.<br />
This object is closely related to the bilinear Hilbert transform with<br />
curvature and a maximally modulated singular integral of Stein-Wainger<br />
type. As an application we also discuss a quantitative nonlinear Roth<br />
type theorem on patterns in the Euclidean plane.<br />
The second talk will focus on the proof of a key ingredient, a certain<br />
regularity estimate for a local operator.<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19906Analysis Seminar2020-09-21T23:11:42Z<p>Seeger: /* Name */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#Alexei Poltoratski | Dirac inner functions ]]<br />
| <br />
|-<br />
|September 29<br />
|Polona Durcik<br />
| Chapman University<br />
|[[#Polona Durcik and Joris Rooslinktoabstract | A triangular Hilbert transform with curvature, I ]]<br />
| <br />
|-<br />
|September 30<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#Polona Durcik and Joris Roos | A triangular Hilbert transform with curvature, II ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|Monday, November 2, 4 p.m.<br />
|Yuval Wigderson<br />
|Stanford University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
|Shukun Wu<br />
|University of Illinois (Urbana-Champaign)<br />
||[[#linktoabstract | Title ]] <br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|TBA<br />
| <br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 9<br />
|Bingyang Hu<br />
|Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 16<br />
|David Beltran<br />
|UW - Madison<br />
|[[#linktoabstract | Title ]]<br />
|}<br />
<br />
=Abstracts=<br />
===Alexei Poltoratski===<br />
<br />
Title: Dirac inner functions<br />
<br />
Abstract: My talk will focus on some new (and old) complex analytic objects arising from Dirac systems of differential equations.<br />
We will discuss connections between problems in complex function theory, spectral and scattering problems for differential<br />
operators and the non-linear Fourier transform.<br />
<br />
<br />
===Polona Durcik and Joris Roos===<br />
<br />
Title: A triangular Hilbert transform with curvature<br />
<br />
Abstract: The triangular Hilbert is a two-dimensional bilinear singular<br />
originating in time-frequency analysis. No Lp bounds are currently<br />
known for this operator.<br />
In these two talks we discuss a recent joint work with Michael Christ<br />
on a variant of the triangular Hilbert transform involving curvature.<br />
This object is closely related to the bilinear Hilbert transform with<br />
curvature and a maximally modulated singular integral of Stein-Wainger<br />
type. As an application we also discuss a quantitative nonlinear Roth<br />
type theorem on patterns in the Euclidean plane.<br />
The second talk will focus on the proof of a key ingredient, a certain<br />
regularity estimate for a local operator.<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19905Analysis Seminar2020-09-21T23:10:14Z<p>Seeger: /* Current Analysis Seminar Schedule */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#Alexei Poltoratski | Dirac inner functions ]]<br />
| <br />
|-<br />
|September 29<br />
|Polona Durcik<br />
| Chapman University<br />
|[[#Polona Durcik and Joris Rooslinktoabstract | A triangular Hilbert transform with curvature, I ]]<br />
| <br />
|-<br />
|September 30<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#Polona Durcik and Joris Roos | A triangular Hilbert transform with curvature, II ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|Monday, November 2, 4 p.m.<br />
|Yuval Wigderson<br />
|Stanford University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
|Shukun Wu<br />
|University of Illinois (Urbana-Champaign)<br />
||[[#linktoabstract | Title ]] <br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|TBA<br />
| <br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 9<br />
|Bingyang Hu<br />
|Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 16<br />
|David Beltran<br />
|UW - Madison<br />
|[[#linktoabstract | Title ]]<br />
|}<br />
<br />
=Abstracts=<br />
===Alexei Poltoratski===<br />
<br />
Title: Dirac inner functions<br />
<br />
Abstract: My talk will focus on some new (and old) complex analytic objects arising from Dirac systems of differential equations.<br />
We will discuss connections between problems in complex function theory, spectral and scattering problems for differential<br />
operators and the non-linear Fourier transform.<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19896Analysis Seminar2020-09-20T00:30:12Z<p>Seeger: /* Current Analysis Seminar Schedule */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#Alexei Poltoratski | Dirac inner functions ]]<br />
| <br />
|-<br />
|September 29<br />
|Polona Durcik<br />
| Chapman University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 30<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|Monday, November 2, 4 p.m.<br />
|Yuval Wigderson<br />
|Stanford University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
|Shukun Wu<br />
|University of Illinois (Urbana-Champaign)<br />
||[[#linktoabstract | Title ]] <br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|TBA<br />
| <br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 9<br />
|Bingyang Hu<br />
|Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 16<br />
|David Beltran<br />
|UW - Madison<br />
|[[#linktoabstract | Title ]]<br />
|}<br />
<br />
=Abstracts=<br />
===Alexei Poltoratski===<br />
<br />
Title: Dirac inner functions<br />
<br />
Abstract: My talk will focus on some new (and old) complex analytic objects arising from Dirac systems of differential equations.<br />
We will discuss connections between problems in complex function theory, spectral and scattering problems for differential<br />
operators and the non-linear Fourier transform.<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19895Analysis Seminar2020-09-20T00:27:42Z<p>Seeger: /* Abstracts */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#linktoabstract | Dirac inner functions ]]<br />
| <br />
|-<br />
|September 29<br />
|Polona Durcik<br />
| Chapman University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 30<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|Monday, November 2, 4 p.m.<br />
|Yuval Wigderson<br />
|Stanford University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
|Shukun Wu<br />
|University of Illinois (Urbana-Champaign)<br />
||[[#linktoabstract | Title ]] <br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|TBA<br />
| <br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 9<br />
|Bingyang Hu<br />
|Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 16<br />
|David Beltran<br />
|UW - Madison<br />
|[[#linktoabstract | Title ]]<br />
|}<br />
<br />
=Abstracts=<br />
===Alexei Poltoratski===<br />
<br />
Title: Dirac inner functions<br />
<br />
Abstract: My talk will focus on some new (and old) complex analytic objects arising from Dirac systems of differential equations.<br />
We will discuss connections between problems in complex function theory, spectral and scattering problems for differential<br />
operators and the non-linear Fourier transform.<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19894Analysis Seminar2020-09-20T00:26:35Z<p>Seeger: /* Current Analysis Seminar Schedule */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#linktoabstract | Dirac inner functions ]]<br />
| <br />
|-<br />
|September 29<br />
|Polona Durcik<br />
| Chapman University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 30<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|Monday, November 2, 4 p.m.<br />
|Yuval Wigderson<br />
|Stanford University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
|Shukun Wu<br />
|University of Illinois (Urbana-Champaign)<br />
||[[#linktoabstract | Title ]] <br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|TBA<br />
| <br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 9<br />
|Bingyang Hu<br />
|Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 16<br />
|David Beltran<br />
|UW - Madison<br />
|[[#linktoabstract | Title ]]<br />
|}<br />
<br />
=Abstracts=<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19879Analysis Seminar2020-09-18T18:30:44Z<p>Seeger: /* Current Analysis Seminar Schedule */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 29<br />
|Polona Durcik<br />
| Chapman University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 30<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|Monday, November 2, 4 p.m.<br />
|Yuval Wigderson<br />
|Stanford University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
|Shukun Wu<br />
|University of Illinois (Urbana-Champaign)<br />
||[[#linktoabstract | Title ]] <br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|TBA<br />
| <br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 9<br />
|Bingyang Hu<br />
|Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 16<br />
|David Beltran<br />
|UW - Madison<br />
|[[#linktoabstract | Title ]]<br />
|}<br />
<br />
=Abstracts=<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19842Analysis Seminar2020-09-17T23:09:28Z<p>Seeger: /* Current Analysis Seminar Schedule */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 29<br />
|Polona Durcik<br />
| Chapman University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 30<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 3<br />
|No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
|Shukun Wu<br />
|University of Illinois (Urbana-Champaign)<br />
||[[#linktoabstract | Title ]] <br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|TBA<br />
| <br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 9<br />
|Bingyang Hu<br />
|Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 16<br />
|David Beltran<br />
|UW - Madison<br />
|[[#linktoabstract | Title ]]<br />
|}<br />
<br />
=Abstracts=<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19817Analysis Seminar2020-09-15T14:30:10Z<p>Seeger: /* Current Analysis Seminar Schedule */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 29<br />
|Polona Durcik<br />
| Chapman University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 30<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 3<br />
|No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
|Shukun Wu<br />
|University of Illinois (Urbana-Champaign)<br />
||[[#linktoabstract | Title ]] <br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|David Beltran<br />
| UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 9<br />
|Bingyang Hu<br />
|Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
<br />
|}<br />
<br />
=Abstracts=<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19741Analysis Seminar2020-09-11T22:58:08Z<p>Seeger: /* Current Analysis Seminar Schedule */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 29<br />
|Polona Durcik<br />
| Chapman University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 30<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 3<br />
|No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
| No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|David Beltran<br />
| UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 9<br />
|Bingyang Hu<br />
|Purdue University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
<br />
|}<br />
<br />
=Abstracts=<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19740Analysis Seminar2020-09-11T20:05:38Z<p>Seeger: /* Current Analysis Seminar Schedule */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 29<br />
|Polona Durcik<br />
| Chapman University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 30<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 3<br />
|No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
| No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|David Beltran<br />
| UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 9<br />
|TBA<br />
| <br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
<br />
|}<br />
<br />
=Abstracts=<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19739Analysis Seminar2020-09-11T20:04:54Z<p>Seeger: /* Current Analysis Seminar Schedule */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 29<br />
|Polona Durcik<br />
| Chapman University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 30<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 3<br />
|No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
| No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|David Beltran<br />
| UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|February 2<br />
|Jongchon Kim<br />
| UBC<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
<br />
<br />
|}<br />
<br />
=Abstracts=<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19702Analysis Seminar2020-09-08T21:48:13Z<p>Seeger: /* Extras */</p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 29<br />
|Polona Durcik<br />
| Chapman University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 30<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 3<br />
|No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
| No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|David Beltran<br />
| UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
<br />
|}<br />
<br />
=Abstracts=<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]<br />
<br />
<br />
Graduate Student Seminar:<br />
<br />
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19620Analysis Seminar2020-09-01T11:08:51Z<p>Seeger: </p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier to accomodate speakers).<br />
<br />
Zoom links will be sent to those who have signed up for the Analysis Seminar List. For instructions how to sign up for seminar lists, see https://www.math.wisc.edu/node/230<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 29<br />
|Polona Durcik<br />
| Chapman University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 30<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 3<br />
|No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
| No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|David Beltran<br />
| UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
<br />
|}<br />
<br />
=Abstracts=<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19542Analysis Seminar2020-08-14T12:25:41Z<p>Seeger: </p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
The regular time for the Seminar will be Tuesdays at 4:00 p.m. (in some cases we will schedule the seminar earlier to accomodate speakers).<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 29<br />
|Polona Durcik<br />
| Chapman University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 30<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|Terence Harris<br />
| Cornell University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 3<br />
|No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|November 10<br />
|Óscar Domínguez<br />
| Universidad Complutense de Madrid<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
| No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|December 1<br />
| Jonathan Hickman<br />
| The University of Edinburgh<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|David Beltran<br />
| UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
<br />
|}<br />
<br />
=Abstracts=<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19509Analysis Seminar2020-08-04T00:21:07Z<p>Seeger: </p>
<hr />
<div><br />
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 29<br />
|Polona Durcik<br />
| Chapman University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 30<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 3<br />
|No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|November 10<br />
|TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
| No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|December 1<br />
| TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
<br />
|}<br />
<br />
=Abstracts=<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19508Analysis Seminar2020-08-03T21:12:46Z<p>Seeger: /* Current Analysis Seminar Schedule */</p>
<hr />
<div><br />
The Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 29<br />
|Polona Durcik<br />
| Chapman University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 30<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 3<br />
|No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|November 10<br />
|TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
| No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|December 1<br />
| TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
<br />
|}<br />
<br />
=Abstracts=<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19507Analysis Seminar2020-08-03T21:10:28Z<p>Seeger: </p>
<hr />
<div><br />
The Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online at least for the Fall semester, with details to be announced in September.<br />
<br />
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 29<br />
|Polona Durcik<br />
| Chapman University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 30<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 3<br />
|No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|November 10<br />
|TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
| No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|December 1<br />
| TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|TBA<br />
| Institution<br />
|<br />
| <br />
|-<br />
<br />
|}<br />
<br />
=Abstracts=<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19506Analysis Seminar2020-08-03T21:08:58Z<p>Seeger: /* Current Analysis Seminar Schedule */</p>
<hr />
<div><br />
The Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online for the Fall semeter, with details to be announced in September.<br />
<br />
If you would like to bring speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 29<br />
|Polona Durcik<br />
| Chapman University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 30<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 3<br />
|No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|November 10<br />
|TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
| No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|December 1<br />
| TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|TBA<br />
| Institution<br />
|<br />
| <br />
|-<br />
<br />
|}<br />
<br />
=Abstracts=<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19505Analysis Seminar2020-08-03T21:06:20Z<p>Seeger: </p>
<hr />
<div><br />
The Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online for the Fall semeter, with details to be announced in September.<br />
<br />
If you would like to bring speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 29<br />
|Polona Durcik<br />
| Chapman University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 30<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 3<br />
|No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|November 10<br />
|TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
| No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|December 1<br />
| TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|TBA<br />
| <br />
|<br />
| <br />
|-<br />
<br />
|}<br />
<br />
=Abstracts=<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19504Analysis Seminar2020-08-03T21:04:59Z<p>Seeger: /* Current Analysis Seminar Schedule */</p>
<hr />
<div><br />
The Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online for the Fall semeter, with details TBA.<br />
<br />
If you would like to bring speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 29<br />
|Polona Durcik<br />
| Chapman University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 30<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 3<br />
|No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|November 10<br />
|TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
| No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|December 1<br />
| TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|December 8<br />
|TBA<br />
| <br />
|<br />
| <br />
|-<br />
<br />
|}<br />
<br />
=Abstracts=<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19503Analysis Seminar2020-08-03T21:04:11Z<p>Seeger: </p>
<hr />
<div><br />
The Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online for the Fall semeter, with details TBA.<br />
<br />
If you would like to bring speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 29<br />
|Polona Durcik<br />
| Chapman University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 30<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| Sponsor<br />
|-<br />
|November 3<br />
|No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|November 10<br />
|TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| Sponsor<br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
| No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|December 1<br />
| TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| Sponsor<br />
|-<br />
|December 8<br />
|TBA<br />
| <br />
|<br />
| <br />
|-<br />
<br />
|}<br />
<br />
=Abstracts=<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19502Analysis Seminar2020-08-03T21:03:37Z<p>Seeger: </p>
<hr />
<div><br />
The Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
It will be online for the Fall semeter, with details TBA.<br />
<br />
If you would like to bring speakers for the spring semester please contact David (dbeltran at math) and Andreas (seeger at math).<br />
<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 29<br />
|Polona Durcik<br />
| Chapman University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 30<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| Sponsor<br />
|-<br />
|November 3<br />
|No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|November 10<br />
|TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| Sponsor<br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
| No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|December 1<br />
| TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| Sponsor<br />
|-<br />
|December 8<br />
|TBA<br />
| <br />
|<br />
| <br />
|-<br />
<br />
|}<br />
<br />
=Abstracts=<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19501Analysis Seminar2020-08-03T21:02:23Z<p>Seeger: </p>
<hr />
<div><br />
The Analysis Seminar will be organized by David Beltran and Andreas Seeger.<br />
If you would like to bring speakers for the spring semester please contact David (dbeltran at math) and Andreas (seeger at math).<br />
(dbeltran(at)math) and Andreas Seeger (seeger at math<br />
<br />
<br />
=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 29<br />
|Polona Durcik<br />
| Chapman University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 30<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| Sponsor<br />
|-<br />
|November 3<br />
|No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|November 10<br />
|TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| Sponsor<br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
| No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|December 1<br />
| TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| Sponsor<br />
|-<br />
|December 8<br />
|TBA<br />
| <br />
|<br />
| <br />
|-<br />
<br />
|}<br />
<br />
=Abstracts=<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19500Analysis Seminar2020-08-03T20:58:29Z<p>Seeger: /* Current Analysis Seminar Schedule */</p>
<hr />
<div>=[[Previous_Analysis_seminars]]=<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars<br />
<br />
= Current Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 22<br />
|Alexei Poltoratski<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 29<br />
|Polona Durcik<br />
| Chapman University<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|September 30<br />
|Joris Roos<br />
|University of Massachusetts - Lowell<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 6<br />
|Andrew Zimmer<br />
|UW Madison<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 13<br />
|Hong Wang <br />
|Princeton/IAS<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 20<br />
|Kevin Luli<br />
|UC Davis<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|October 27<br />
|TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| Sponsor<br />
|-<br />
|November 3<br />
|No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|November 10<br />
|TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| Sponsor<br />
|-<br />
|November 17<br />
|Tamas Titkos<br />
|BBS U of Applied Sciences and Renyi Institute<br />
|[[#linktoabstract | Title ]]<br />
| <br />
|-<br />
|November 24<br />
| No seminar<br />
| <br />
|<br />
| <br />
|-<br />
|December 1<br />
| TBA<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| Sponsor<br />
|-<br />
|December 8<br />
|TBA<br />
| <br />
|<br />
| <br />
|-<br />
<br />
|}<br />
<br />
=Abstracts=<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19273Analysis Seminar2020-03-17T16:12:52Z<p>Seeger: /* Analysis Seminar Schedule */</p>
<hr />
<div>'''Fall 2019 and Spring 2020 Analysis Seminar Series<br />
'''<br />
<br />
The seminar will meet Tuesdays, 4:00 p.m. in VV B139, unless otherwise indicated.<br />
<br />
If you wish to invite a speaker please contact Brian at street(at)math<br />
<br />
===[[Previous Analysis seminars]]===<br />
<br />
= Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Sept 10<br />
| José Madrid<br />
| UCLA<br />
|[[#José Madrid | On the regularity of maximal operators on Sobolev Spaces ]]<br />
| Andreas, David<br />
|-<br />
|Sept 13 (Friday, B139)<br />
| Yakun Xi<br />
| University of Rochester<br />
|[[#Yakun Xi | Distance sets on Riemannian surfaces and microlocal decoupling inequalities ]]<br />
| Shaoming<br />
|-<br />
|Sept 17<br />
| Joris Roos<br />
| UW Madison<br />
|[[#Joris Roos | L^p improving estimates for maximal spherical averages ]]<br />
| Brian<br />
|-<br />
|Sept 20 (2:25 PM Friday, Room B139 VV)<br />
| Xiaojun Huang<br />
| Rutgers University–New Brunswick<br />
|[[#linktoabstract | A generalized Kerner theorem and hyperbolic metrics on Stein spaces with compact spherical boundaries ]]<br />
| Xianghong<br />
|-<br />
|Oct 1<br />
| Xiaocheng Li<br />
| UW Madison<br />
|[[#Xiaocheng Li | An Estimate for Spherical Functions on $\mathrm{SL}(3,\mathbb{R})$ ]]<br />
| Simon<br />
|-<br />
|Oct 8<br />
| Jeff Galkowski<br />
| Northeastern University<br />
|[[#Jeff Galkowski | Concentration and Growth of Laplace Eigenfunctions ]]<br />
| Betsy<br />
|-<br />
|Oct 15<br />
| David Beltran<br />
| UW Madison<br />
|[[#David Beltran | Regularity of the centered fractional maximal function ]]<br />
| Brian<br />
|-<br />
|Oct 22<br />
| Laurent Stolovitch<br />
| University of Côte d'Azur<br />
|[[#Laurent Stolovitch | Linearization of neighborhoods of embeddings of complex compact manifolds ]]<br />
| Xianghong<br />
|-<br />
|<b>Wednesday Oct 23 in B129</b><br />
|Dominique Kemp<br />
|Indiana University<br />
|[[#Dominique Kemp | Decoupling for Real Analytic Surfaces Exhibiting Zero Curvature]]<br />
|Betsy<br />
|-<br />
|Oct 29<br />
| Bingyang Hu<br />
| UW Madison<br />
|[[#Bingyang Hu | Sparse bounds of singular Radon transforms]]<br />
| Brian<br />
|-<br />
|Nov 5<br />
| Kevin O'Neill<br />
| UC Davis<br />
|[[#Kevin O'Neill | A Quantitative Stability Theorem for Convolution on the Heisenberg Group ]]<br />
| Betsy<br />
|-<br />
|Nov 12<br />
| Francesco di Plinio<br />
| Washington University in St. Louis<br />
|[[#Francesco di Plinio | Maximal directional integrals along algebraic and lacunary sets]]<br />
| Shaoming<br />
|-<br />
|Nov 13 (Wednesday)<br />
| Xiaochun Li <br />
| UIUC<br />
|[[#Xiaochun Li | Roth's type theorems on progressions]]<br />
| Brian, Shaoming<br />
|-<br />
|Nov 19<br />
| Joao Ramos<br />
| University of Bonn<br />
|[[#Joao Ramos | Fourier uncertainty principles, interpolation and uniqueness sets ]]<br />
| Joris, Shaoming<br />
|-<br />
|Jan 21<br />
| No Seminar<br />
| <br />
|<br />
|<br />
|-<br />
|Friday, Jan 31, 4 pm, B239, Colloquium<br />
| Lillian Pierce<br />
| Duke University<br />
|[[#Lillian Pierce | On Bourgain’s counterexample for the Schrödinger maximal function ]]<br />
| Andreas, Simon<br />
|-<br />
|Feb 4<br />
| Ruixiang Zhang<br />
| UW Madison<br />
|[[#Ruixiang Zhang | Local smoothing for the wave equation in 2+1 dimensions ]]<br />
| Andreas<br />
|-<br />
|Feb 11<br />
| Zane Li<br />
| Indiana University<br />
|[[#Zane Li | A bilinear proof of decoupling for the moment curve ]]<br />
| Betsy<br />
|-<br />
|Feb 18<br />
| Sergey Denisov<br />
| UW Madison<br />
|[[#linktoabstract | De Branges canonical systems with finite logarithmic integral ]]<br />
| Brian<br />
|-<br />
|Feb 25<br />
| Michel Alexis<br />
| UW Madison<br />
|[[#Michel Alexis | The Steklov problem for trigonometric polynomials orthogonal to a Muckenhoupt weight ]]<br />
| Sergey<br />
|-<br />
|Friday, Feb 28 (Colloquium)<br />
| Brett Wick<br />
| Washington University - St. Louis<br />
|[[#MBrett Wick | The Corona Theorem]]<br />
| Andreas<br />
|-<br />
|Mar 3<br />
| William Green<br />
| Rose-Hulman Institute of Technology<br />
|[[#William Green | Dispersive estimates for the Dirac equation ]]<br />
| Betsy<br />
|-<br />
|Mar 10<br />
| Ziming Shi<br />
| UW Madison<br />
|[[#linktoabstract |On the Sobolev space property of logarithmic modulus of holomorphic functions in C^n]]<br />
| Xianghong<br />
|-<br />
|Mar 17<br />
| Spring Break!<br />
|<br />
|<br />
| <br />
|-<br />
|Mar 24<br />
| Oscar Dominguez<br />
| Universidad Complutense de Madrid<br />
|Canceled<br />
| Andreas<br />
|-<br />
|Mar 31<br />
| Brian Street<br />
| University of Wisconsin-Madison<br />
|Canceled<br />
| Local<br />
|-<br />
|Apr 7<br />
| Hong Wang<br />
| Institution<br />
|Canceled<br />
| Street<br />
|-<br />
|<b>Monday, Apr 13</b><br />
|Yumeng Ou<br />
|CUNY, Baruch College<br />
|Canceled<br />
|Ruixiang<br />
|-<br />
|Apr 14<br />
| Tamás Titkos<br />
| BBS University of Applied Sciences & Rényi Institute<br />
|Canceled<br />
| Brian<br />
|-<br />
|Apr 21<br />
| Diogo Oliveira e Silva<br />
| University of Birmingham<br />
|Canceled<br />
| Betsy<br />
|-<br />
|Apr 28<br />
| No Seminar<br />
|-<br />
|May 5<br />
|Jonathan Hickman<br />
|University of Edinburgh<br />
|Canceled<br />
| Andreas<br />
|-<br />
|}<br />
<br />
=Abstracts=<br />
===José Madrid===<br />
<br />
Title: On the regularity of maximal operators on Sobolev Spaces<br />
<br />
Abstract: In this talk, we will discuss the regularity properties (boundedness and<br />
continuity) of the classical and fractional maximal<br />
operators when these act on the Sobolev space W^{1,p}(\R^n). We will<br />
focus on the endpoint case p=1. We will talk about<br />
some recent results and current open problems.<br />
<br />
===Yakun Xi===<br />
<br />
Title: Distance sets on Riemannian surfaces and microlocal decoupling inequalities <br />
<br />
Abstract: In this talk, we discuss the generalization of the Falconer distance problem to the Riemannian setting. In particular, we extend the recent result of Guth-Iosevich-Ou-Wang for the distance set in the plane to general Riemannian surfaces. The key new ingredient is a family of refined decoupling inequalities associated with phase functions that satisfy Carleson-Sj\”olin condition. This is joint work with Iosevich and Liu.<br />
<br />
===Joris Roos===<br />
<br />
Title: L^p improving estimates for maximal spherical averages<br />
<br />
Abstract: For a given compact set of radii $E$ we will discuss $L^p$ improving properties of maximal spherical averages with a supremum over $E$.<br />
Our results are sharp up to endpoints for a large class of $E$. A new feature is that the optimal exponents depend on both, the upper Minkowski dimension and the Assouad dimension of the set $E$.<br />
Joint work with Tess Anderson, Kevin Hughes and Andreas Seeger.<br />
<br />
<br />
<br />
===Joao Ramos===<br />
<br />
Title: Fourier uncertainty principles, interpolation and uniqueness sets<br />
<br />
Abstract: A classical result in the theory of entire functions of exponential type, Shannon’s interpolation formula predicates that, given a function whose Fourier transform vanishes outside the interval $[-1/2,1/2]$, it is possible to recover it from its values at the integers. More specifically, it holds, in a suitable sense of convergence, that <br />
<br />
$$ f(x) = \sum_{n \in \mathbb{Z}} f(n) \frac{\sin(\pi(x-n))}{\pi(x -n)}. $$ <br />
<br />
This formula is unfortunately unavailable for arbitrary Schwartz functions on the real line, but a recent result of Radchenko and Viazovska provides us with an explicit construction of an interpolation basis for even Schwartz functions. It states, in a nutshell, that we can recover explicitly the function given its values at the squares of roots of integers. <br />
<br />
We will discuss a bit these two results, and explore, in connection to classical Fourier uncertainty results, the question of determining which pairs of sets $(A,B)$ satisfy that, if a Schwartz function $f$ vanishes on A and its Fourier transform vanishes on B, then $f \equiv 0.$ <br />
<br />
In particular, we will give sufficient conditions on $(\alpha,\beta)$ pairs of positive numbers so that, if $f$ vanishes at $\pm n^{\alpha}$ and its Fourier transform vanishes at $\pm n^{\beta}$, then $f$ is identically zero.<br />
<br />
===Xiaojun Huang===<br />
<br />
Title: A generalized Kerner theorem and hyperbolic metrics on Stein spaces with compact spherical boundaries<br />
<br />
Abstract: This is a joint work with Ming Xiao. We discuss how to construct a hyperbolic metric over a Stein space with spherical boundary. The technique we use is to employ holomorphic continuation along curves for multiple valued functions.<br />
<br />
===Xiaocheng Li===<br />
<br />
Title: An Estimate for Spherical Functions on $\mathrm{SL}(3,\mathbb{R})$<br />
<br />
Abstract: We prove an estimate for spherical functions $\phi_\lambda(a)$ on $\mathrm{SL}(3,\mathbb{R})$, establishing uniform decay in the spectral parameter $\lambda$ when the group parameter $a$ is restricted to a compact subset of the abelian subgroup $\mathrm{A}$. In the case of $\mathrm{SL}(3,\mathbb{R})$, it improves a result by J.J. Duistermaat, J.A.C. Kolk and V.S. Varadarajan by removing the limitation that $a$ should remain regular. As in their work, we estimate the oscillatory integral that appears in the integral formula for spherical functions by the method of stationary phase. However, the major difference is that we investigate the stability of the singularities arising from the linearized phase function by classifying their local normal forms when the parameters $\lambda$ and $a$ vary.<br />
<br />
<br />
===Xiaochun Li===<br />
<br />
Title: Roth’s type theorems on progressions<br />
<br />
Abstract: The arithmetic progression problems were posed by Erd\”os-Turan, answered affirmatively by Semer\’edi. However, there are still many questions remained on precise quantitative description on how large a subset shall be in oredr to guarantee a progression in it. Involving with Fourier analysis, considerable work had been accomplished recently. We will give a survey on those progress, and report our recent progress on quantitative version of Roth’s type theorem on (polynomial) progressions of short length.<br />
<br />
===Jeff Galkowski===<br />
<br />
<b>Concentration and Growth of Laplace Eigenfunctions</b><br />
<br />
In this talk we will discuss a new approach to understanding eigenfunction concentration. We characterize the features that cause an eigenfunction to saturate the standard supremum bounds in terms of the distribution of L^2 mass along geodesic tubes emanating from a point. We also show that the phenomena behind extreme supremum norm growth is identical to that underlying extreme growth of eigenfunctions when averaged along submanifolds. Finally, we use these ideas to understand a variety of measures of concentration; in each case obtaining quantitative improvements over the known bounds.<br />
<br />
===David Beltran===<br />
<br />
Title: Regularity of the centered fractional maximal function<br />
<br />
Abstract: I will report some recent progress regarding the boundedness of the map $f \mapsto |\nabla M_\beta f|$ from the endpoint space $W^{1,1}(\mathbb{R}^d)$ to $L^{d/(d-\beta)}(\mathbb{R}^d)$, where $M_\beta$ denotes the fractional version of the centered Hardy--Littlewood maximal function. A key step in our analysis is a relation between the centered and non-centered fractional maximal functions at the derivative level, which allows to exploit the known techniques in the non-centered case.<br />
<br />
This is joint work with José Madrid.<br />
<br />
===Dominique Kemp===<br />
<br />
<b>Decoupling for Real Analytic Surfaces Exhibiting Zero Curvature</b><br />
<br />
The celebrated l^2 decoupling theorem of Jean Bourgain and Ciprian Demeter presented a new perspective on a range of problems related to hypersurfaces with nonzero Gaussian curvature, such as exponential sum estimates, additive energy estimates, local smoothing, and counting solutions to Diophantine inequalities. The same authors also extended their theory to the n-dimensional cone. Following their steps, we prove optimal l^2 decoupling results for the remaining class of zero-curvature two-dimensional surfaces without umbilical points (the so-called tangent surfaces). We are also able to prove a decoupling theorem for the real analytic surfaces of revolution. These results should be viewed as partial progress toward the goal of proving a decoupling theorem for arbitrary real analytic hypersurfaces.<br />
<br />
<br />
===Kevin O'Neill===<br />
<br />
<b>A Quantitative Stability Theorem for Convolution on the Heisenberg Group </b><br />
<br />
Although convolution on Euclidean space and the Heisenberg group satisfy the same $L^p$ bounds with the same optimal constants, the former has maximizers while the latter does not. However, as work of Christ has shown, it is still possible to characterize near-maximizers. Specifically, any near-maximizing triple of the trilinear form for convolution on the Heisenberg group must be close to a particular type of triple of ordered Gaussians after adjusting by symmetry. In this talk, we will use the expansion method to prove a quantitative version of this characterization.<br />
<br />
===Francesco di Plinio===<br />
<br />
<b>Maximal directional integrals along algebraic and lacunary sets </b><br />
<br />
I will discuss two recent results obtained in collaboration with (partly) Natalia Accomazzo and Ioannis Parissis (U Basque Country). The first is a sharp $L^2$ estimate for the maximal averaging operator associated to sets of directions from algebraic sets in R^n of arbitrary codimension. The proof uses a new scheme of polynomial partitioning on manifolds which extends ideas by Larry Guth. The second result is a sharp estimate in all dimensions for the maximal directional singular integrals along lacunary directions. This settles a question of Parcet and Rogers. The proof uses a combination of two-dimensional and $n$-dimensional coverings combining seemingly contrasting ideas of Parcet-Rogers and of Nagel-Stein-Wainger.<br />
<br />
===Laurent Stolovitch===<br />
<br />
<b>Linearization of neighborhoods of embeddings of complex compact manifolds </b><br />
<br />
In this work, we address the following question due to Grauert: if a neighborhood M of a holomorphically embedded complex compact manifold C is formally equivalent to another one, are two neighborhoods biholomorphically equivalent? We shall present the case where the other neighborhood is the neighborhood of the zero section of the normal bundle of C in M. The solution to this problem involves "small divisors problems". This is joint work with X. Gong.<br />
<br />
===Bingyang Hu===<br />
<br />
<b>Sparse bounds of singular Radon transforms</b><br />
<br />
In this talk, we will first briefly talk about the general theory of sparse domination, and then talk about the sparse bounds of singular Radon transforms, which strengths the $L^p$ boundedness of such operators due to Christ, Nagel, Stein and Wainger in 1999.<br />
<br />
===Lillian Pierce===<br />
<b> On Bourgain’s counterexample for the Schrödinger maximal function </b><br />
<br />
In 1980, Carleson asked a question in harmonic analysis: to which Sobolev space H^s must an initial data function belong, for a pointwise a.e. convergence result to hold for the solution to the associated linear Schrödinger equation? Over the next decades, many people developed counterexamples to push the (necessary) range of s up, and positive results to push the (sufficient) range of s down. Now, these ranges are finally meeting: Bourgain’s 2016 counterexample showed s < n/(2(n+1)) fails, and Du and Zhang’s 2019 paper shows that s>n/(2(n+1)) suffices. <br />
In this talk, we will give an overview of how to rigorously derive Bourgain’s 2016 counterexample, based on simple facts from number theory. We will show how to build Bourgain’s counterexample starting from “zero knowledge," and how to gradually optimize the set-up to arrive at the final counterexample. The talk will be broadly accessible, particularly if we live up to the claim of starting from “zero knowledge.”<br />
<br />
===Ruixiang Zhang===<br />
<br />
<b> Local smoothing for the wave equation in 2+1 dimensions </b><br />
<br />
Sogge's local smoothing conjecture for the wave equation predicts that the local L^p space-time estimate gains a fractional derivative of order almost 1/p compared to the fixed time L^p estimates, when p>2n/(n-1). Jointly with Larry Guth and Hong Wang, we recently proved the conjecture in $\mathbb{R}^{2+1}$. I will talk about a sharp square function estimate we proved which implies the local smoothing conjecture in dimensions 2+1. A key ingredient in the proof is an incidence type theorem.<br />
<br />
===Zane Li===<br />
<br />
<b> A bilinear proof of decoupling for the moment curve</b><br />
<br />
We give a proof of decoupling for the moment curve that is inspired from nested efficient congruencing. We also discuss the relationship between Wooley's nested efficient congruencing and Bourgain-Demeter-Guth's decoupling proofs of Vinogradov's Mean Value Theorem. This talk is based on joint work with Shaoming Guo, Po-Lam Yung, and Pavel Zorin-Kranich.<br />
<br />
<br />
===Sergey Denisov===<br />
<br />
<b> De Branges canonical systems with finite logarithmic integral </b><br />
<br />
We consider measures m on the real line for which logarithmic<br />
integral exists and give a complete characterization of all Hamiltonians<br />
in de Branges canonical system for which m is the spectral measure.<br />
This characterization involves the matrix A_2 Muckenhoupt condition on a<br />
fixed scale. Our result provides a generalization of the classical<br />
theorem of Szego for polynomials orthogonal on the unit circle and<br />
complements the Krein-Wiener theorem. Based on the joint work with R.<br />
Bessonov.<br />
<br />
<br />
===Michel Alexis===<br />
<br />
<b>The Steklov problem for Trigonometric Polynomials orthogonal to a Muckenhoupt weight</b><br />
<br />
Let $\{\varphi_n\}_{n=0}^{\infty}$ be the sequence of degree $n$ polynomials on $\mathbb{T}$, orthonormal with respect to a positive weight $w$. Steklov conjectured whenever $w \geq \delta> 0$ a.e.\ then $\{\varphi_n\}$ are uniformly bounded in $L^{\infty}$. While false, this conjecture brings us to ask the following: under what regularity conditions on $w$ are $\{\varphi_n\}$ uniformly bounded in $L^p (w)$ for some $p > 2$?<br />
<br />
We discuss some answers to this question using the contraction principle and operator estimates for the Hilbert transform, in particular recent joint work with Alexander Aptakarev and Sergey Denisov for when $w$ is a Muckenhoupt weight.<br />
<br />
===William Green===<br />
<br />
<b> Dispersive estimates for the Dirac equation </b><br />
<br />
The Dirac equation was derived by Dirac in 1928 to model the behavior of subatomic particles moving at relativistic speeds. Dirac formulated a hyberbolic system of partial differential equations<br />
That can be interpreted as a sort of square root of a system of Klein-Gordon equations.<br />
<br />
The Dirac equation is considerably less well studied than other dispersive equations such as the Schrodinger, wave or Klein-Gordon equations. We will survey recent work on time-decay estimates for the solution operator. Specifically the mapping properties of the solution operator between L^p spaces. As in other dispersive equations, the existence of eigenvalues and/or resonances at the edge of the continuous spectrum affects the dynamics of the solution. We classify the threshold eigenvalue and resonance structure in two and three spatial dimensions and study their effect on the time decay. The talk with survey joint works with B. Erdogan (Illinois), M. Goldberg (Cincinnati) and E. Toprak (Rutgers).<br />
<br />
===Yifei Pan===<br />
<br />
<b>On the Sobolev space property of logarithmic modulus of holomorphic functions in C^n</b><br />
<br />
In this talk, I will present a proof of the following Sobolev space property of logarithmic modulus of holomorphic functions in C^n. If f is a holomorphic function on the unit ball B(0,1) in C^n vanishing at the origin (i.e., f(0) = 0) but it is not identically zero, then log |f| ∈ W^{1,p}(B(0, r)) for any p < 2, but log |f| is not in W^{1,2}(B(0, r)) (r < 1). As you may see, this result is rather simple to prove in the complex plane due to the discreteness of zeros of holomorphic functions. In higher dimensions, we are going to apply Hironaka’s resolution of singularity and then Harvey- Polking removable singularity method to prove the existence of weak derivatives of log |f(z)|. This is part of a joint project with Ziming Shi at Madison.<br />
<br />
===Tamás Titkos===<br />
<br />
<b>Isometries of Wasserstein spaces</b><br />
<br />
Due to its nice theoretical properties and an astonishing number of applications via optimal transport problems, probably the most intensively studied metric nowadays is the $p$-Wasserstein metric. Given a complete and separable metric space $X$ and a real number $p\geq1$, one defines the $p$-Wasserstein space $\mathcal{W}_p(X)$ as the collection of Borel probability measures with finite $p$-th moment, endowed with a distance which is calculated by means of transport plans.<br />
<br />
The main aim of our research project is to reveal the structure of the isometry group $\mathrm{Isom}(\mathcal{W}_p(X))$. Although $\mathrm{Isom}(X)$ embeds naturally into $\mathrm{Isom}(\mathcal{W}_p(X))$ by push-forward, and this embedding turned out to be surjective in many cases, these two groups are not isomorphic in general. Recently, Kloeckner described the isometry group of the quadratic Wasserstein space over the real line. It turned out that this group is extremely rich: it contains a flow of wild behaving isometries that distort the shape of measures. Following this line of investigation, we described $\mathrm{Isom}(\mathcal{W}_p(\mathbb{R}))$ and $\mathrm{Isom}(\mathcal{W}_p([0,1])$ for all $p\geq 1$. In this talk I will survey first some of the earlier results in the subject, and then I will present the key results of our recent manuscript \emph{"Isometric study of Wasserstein spaces -- The real line"} (to appear in Trans. Amer. Math. Soc., arXiv:2002.00859).<br />
<br />
Joint work with György Pál Gehér (University of Reading) and Dániel Virosztek (IST Austria).<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19272Analysis Seminar2020-03-17T16:11:17Z<p>Seeger: /* Analysis Seminar Schedule */</p>
<hr />
<div>'''Fall 2019 and Spring 2020 Analysis Seminar Series<br />
'''<br />
<br />
The seminar will meet Tuesdays, 4:00 p.m. in VV B139, unless otherwise indicated.<br />
<br />
If you wish to invite a speaker please contact Brian at street(at)math<br />
<br />
===[[Previous Analysis seminars]]===<br />
<br />
= Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Sept 10<br />
| José Madrid<br />
| UCLA<br />
|[[#José Madrid | On the regularity of maximal operators on Sobolev Spaces ]]<br />
| Andreas, David<br />
|-<br />
|Sept 13 (Friday, B139)<br />
| Yakun Xi<br />
| University of Rochester<br />
|[[#Yakun Xi | Distance sets on Riemannian surfaces and microlocal decoupling inequalities ]]<br />
| Shaoming<br />
|-<br />
|Sept 17<br />
| Joris Roos<br />
| UW Madison<br />
|[[#Joris Roos | L^p improving estimates for maximal spherical averages ]]<br />
| Brian<br />
|-<br />
|Sept 20 (2:25 PM Friday, Room B139 VV)<br />
| Xiaojun Huang<br />
| Rutgers University–New Brunswick<br />
|[[#linktoabstract | A generalized Kerner theorem and hyperbolic metrics on Stein spaces with compact spherical boundaries ]]<br />
| Xianghong<br />
|-<br />
|Oct 1<br />
| Xiaocheng Li<br />
| UW Madison<br />
|[[#Xiaocheng Li | An Estimate for Spherical Functions on $\mathrm{SL}(3,\mathbb{R})$ ]]<br />
| Simon<br />
|-<br />
|Oct 8<br />
| Jeff Galkowski<br />
| Northeastern University<br />
|[[#Jeff Galkowski | Concentration and Growth of Laplace Eigenfunctions ]]<br />
| Betsy<br />
|-<br />
|Oct 15<br />
| David Beltran<br />
| UW Madison<br />
|[[#David Beltran | Regularity of the centered fractional maximal function ]]<br />
| Brian<br />
|-<br />
|Oct 22<br />
| Laurent Stolovitch<br />
| University of Côte d'Azur<br />
|[[#Laurent Stolovitch | Linearization of neighborhoods of embeddings of complex compact manifolds ]]<br />
| Xianghong<br />
|-<br />
|<b>Wednesday Oct 23 in B129</b><br />
|Dominique Kemp<br />
|Indiana University<br />
|[[#Dominique Kemp | Decoupling for Real Analytic Surfaces Exhibiting Zero Curvature]]<br />
|Betsy<br />
|-<br />
|Oct 29<br />
| Bingyang Hu<br />
| UW Madison<br />
|[[#Bingyang Hu | Sparse bounds of singular Radon transforms]]<br />
| Brian<br />
|-<br />
|Nov 5<br />
| Kevin O'Neill<br />
| UC Davis<br />
|[[#Kevin O'Neill | A Quantitative Stability Theorem for Convolution on the Heisenberg Group ]]<br />
| Betsy<br />
|-<br />
|Nov 12<br />
| Francesco di Plinio<br />
| Washington University in St. Louis<br />
|[[#Francesco di Plinio | Maximal directional integrals along algebraic and lacunary sets]]<br />
| Shaoming<br />
|-<br />
|Nov 13 (Wednesday)<br />
| Xiaochun Li <br />
| UIUC<br />
|[[#Xiaochun Li | Roth's type theorems on progressions]]<br />
| Brian, Shaoming<br />
|-<br />
|Nov 19<br />
| Joao Ramos<br />
| University of Bonn<br />
|[[#Joao Ramos | Fourier uncertainty principles, interpolation and uniqueness sets ]]<br />
| Joris, Shaoming<br />
|-<br />
|Jan 21<br />
| No Seminar<br />
| <br />
|<br />
|<br />
|-<br />
|Friday, Jan 31, 4 pm, B239, Colloquium<br />
| Lillian Pierce<br />
| Duke University<br />
|[[#Lillian Pierce | On Bourgain’s counterexample for the Schrödinger maximal function ]]<br />
| Andreas, Simon<br />
|-<br />
|Feb 4<br />
| Ruixiang Zhang<br />
| UW Madison<br />
|[[#Ruixiang Zhang | Local smoothing for the wave equation in 2+1 dimensions ]]<br />
| Andreas<br />
|-<br />
|Feb 11<br />
| Zane Li<br />
| Indiana University<br />
|[[#Zane Li | A bilinear proof of decoupling for the moment curve ]]<br />
| Betsy<br />
|-<br />
|Feb 18<br />
| Sergey Denisov<br />
| UW Madison<br />
|[[#linktoabstract | De Branges canonical systems with finite logarithmic integral ]]<br />
| Brian<br />
|-<br />
|Feb 25<br />
| Michel Alexis<br />
| UW Madison<br />
|[[#Michel Alexis | The Steklov problem for trigonometric polynomials orthogonal to a Muckenhoupt weight ]]<br />
| Sergey<br />
|-<br />
|Friday, Feb 28 (Colloquium)<br />
| Brett Wick<br />
| Washington University - St. Louis<br />
|[[#MBrett Wick | The Corona Theorem]]<br />
| Andreas<br />
|-<br />
|Mar 3<br />
| William Green<br />
| Rose-Hulman Institute of Technology<br />
|[[#William Green | Dispersive estimates for the Dirac equation ]]<br />
| Betsy<br />
|-<br />
|Mar 10<br />
| Ziming Shi<br />
| UW Madison<br />
|[[#linktoabstract |On the Sobolev space property of logarithmic modulus of holomorphic functions in C^n]]<br />
| Xianghong<br />
|-<br />
|Mar 17<br />
| Spring Break!<br />
|<br />
|<br />
| <br />
|-<br />
|Mar 24<br />
| Oscar Dominguez<br />
| Universidad Complutense de Madrid<br />
|Canceled<br />
| Andreas<br />
|-<br />
|Mar 31<br />
| Brian Street<br />
| University of Wisconsin-Madison<br />
|Canceled<br />
| Local<br />
|-<br />
|Apr 7<br />
| Hong Wang<br />
| Institution<br />
|Canceled<br />
| Street<br />
|-<br />
|<b>Monday, Apr 13</b><br />
|Yumeng Ou<br />
|CUNY, Baruch College<br />
|Canceled<br />
|Zhang<br />
|-<br />
|Apr 14<br />
| Tamás Titkos<br />
| BBS University of Applied Sciences & Rényi Institute<br />
|Canceled<br />
| Street<br />
|-<br />
|Apr 21<br />
| Diogo Oliveira e Silva<br />
| University of Birmingham<br />
|Canceled<br />
| Betsy<br />
|-<br />
|Apr 28<br />
| No Seminar<br />
|-<br />
|May 5<br />
|Jonathan Hickman<br />
|University of Edinburgh<br />
|Canceled<br />
| Andreas<br />
|-<br />
|}<br />
<br />
=Abstracts=<br />
===José Madrid===<br />
<br />
Title: On the regularity of maximal operators on Sobolev Spaces<br />
<br />
Abstract: In this talk, we will discuss the regularity properties (boundedness and<br />
continuity) of the classical and fractional maximal<br />
operators when these act on the Sobolev space W^{1,p}(\R^n). We will<br />
focus on the endpoint case p=1. We will talk about<br />
some recent results and current open problems.<br />
<br />
===Yakun Xi===<br />
<br />
Title: Distance sets on Riemannian surfaces and microlocal decoupling inequalities <br />
<br />
Abstract: In this talk, we discuss the generalization of the Falconer distance problem to the Riemannian setting. In particular, we extend the recent result of Guth-Iosevich-Ou-Wang for the distance set in the plane to general Riemannian surfaces. The key new ingredient is a family of refined decoupling inequalities associated with phase functions that satisfy Carleson-Sj\”olin condition. This is joint work with Iosevich and Liu.<br />
<br />
===Joris Roos===<br />
<br />
Title: L^p improving estimates for maximal spherical averages<br />
<br />
Abstract: For a given compact set of radii $E$ we will discuss $L^p$ improving properties of maximal spherical averages with a supremum over $E$.<br />
Our results are sharp up to endpoints for a large class of $E$. A new feature is that the optimal exponents depend on both, the upper Minkowski dimension and the Assouad dimension of the set $E$.<br />
Joint work with Tess Anderson, Kevin Hughes and Andreas Seeger.<br />
<br />
<br />
<br />
===Joao Ramos===<br />
<br />
Title: Fourier uncertainty principles, interpolation and uniqueness sets<br />
<br />
Abstract: A classical result in the theory of entire functions of exponential type, Shannon’s interpolation formula predicates that, given a function whose Fourier transform vanishes outside the interval $[-1/2,1/2]$, it is possible to recover it from its values at the integers. More specifically, it holds, in a suitable sense of convergence, that <br />
<br />
$$ f(x) = \sum_{n \in \mathbb{Z}} f(n) \frac{\sin(\pi(x-n))}{\pi(x -n)}. $$ <br />
<br />
This formula is unfortunately unavailable for arbitrary Schwartz functions on the real line, but a recent result of Radchenko and Viazovska provides us with an explicit construction of an interpolation basis for even Schwartz functions. It states, in a nutshell, that we can recover explicitly the function given its values at the squares of roots of integers. <br />
<br />
We will discuss a bit these two results, and explore, in connection to classical Fourier uncertainty results, the question of determining which pairs of sets $(A,B)$ satisfy that, if a Schwartz function $f$ vanishes on A and its Fourier transform vanishes on B, then $f \equiv 0.$ <br />
<br />
In particular, we will give sufficient conditions on $(\alpha,\beta)$ pairs of positive numbers so that, if $f$ vanishes at $\pm n^{\alpha}$ and its Fourier transform vanishes at $\pm n^{\beta}$, then $f$ is identically zero.<br />
<br />
===Xiaojun Huang===<br />
<br />
Title: A generalized Kerner theorem and hyperbolic metrics on Stein spaces with compact spherical boundaries<br />
<br />
Abstract: This is a joint work with Ming Xiao. We discuss how to construct a hyperbolic metric over a Stein space with spherical boundary. The technique we use is to employ holomorphic continuation along curves for multiple valued functions.<br />
<br />
===Xiaocheng Li===<br />
<br />
Title: An Estimate for Spherical Functions on $\mathrm{SL}(3,\mathbb{R})$<br />
<br />
Abstract: We prove an estimate for spherical functions $\phi_\lambda(a)$ on $\mathrm{SL}(3,\mathbb{R})$, establishing uniform decay in the spectral parameter $\lambda$ when the group parameter $a$ is restricted to a compact subset of the abelian subgroup $\mathrm{A}$. In the case of $\mathrm{SL}(3,\mathbb{R})$, it improves a result by J.J. Duistermaat, J.A.C. Kolk and V.S. Varadarajan by removing the limitation that $a$ should remain regular. As in their work, we estimate the oscillatory integral that appears in the integral formula for spherical functions by the method of stationary phase. However, the major difference is that we investigate the stability of the singularities arising from the linearized phase function by classifying their local normal forms when the parameters $\lambda$ and $a$ vary.<br />
<br />
<br />
===Xiaochun Li===<br />
<br />
Title: Roth’s type theorems on progressions<br />
<br />
Abstract: The arithmetic progression problems were posed by Erd\”os-Turan, answered affirmatively by Semer\’edi. However, there are still many questions remained on precise quantitative description on how large a subset shall be in oredr to guarantee a progression in it. Involving with Fourier analysis, considerable work had been accomplished recently. We will give a survey on those progress, and report our recent progress on quantitative version of Roth’s type theorem on (polynomial) progressions of short length.<br />
<br />
===Jeff Galkowski===<br />
<br />
<b>Concentration and Growth of Laplace Eigenfunctions</b><br />
<br />
In this talk we will discuss a new approach to understanding eigenfunction concentration. We characterize the features that cause an eigenfunction to saturate the standard supremum bounds in terms of the distribution of L^2 mass along geodesic tubes emanating from a point. We also show that the phenomena behind extreme supremum norm growth is identical to that underlying extreme growth of eigenfunctions when averaged along submanifolds. Finally, we use these ideas to understand a variety of measures of concentration; in each case obtaining quantitative improvements over the known bounds.<br />
<br />
===David Beltran===<br />
<br />
Title: Regularity of the centered fractional maximal function<br />
<br />
Abstract: I will report some recent progress regarding the boundedness of the map $f \mapsto |\nabla M_\beta f|$ from the endpoint space $W^{1,1}(\mathbb{R}^d)$ to $L^{d/(d-\beta)}(\mathbb{R}^d)$, where $M_\beta$ denotes the fractional version of the centered Hardy--Littlewood maximal function. A key step in our analysis is a relation between the centered and non-centered fractional maximal functions at the derivative level, which allows to exploit the known techniques in the non-centered case.<br />
<br />
This is joint work with José Madrid.<br />
<br />
===Dominique Kemp===<br />
<br />
<b>Decoupling for Real Analytic Surfaces Exhibiting Zero Curvature</b><br />
<br />
The celebrated l^2 decoupling theorem of Jean Bourgain and Ciprian Demeter presented a new perspective on a range of problems related to hypersurfaces with nonzero Gaussian curvature, such as exponential sum estimates, additive energy estimates, local smoothing, and counting solutions to Diophantine inequalities. The same authors also extended their theory to the n-dimensional cone. Following their steps, we prove optimal l^2 decoupling results for the remaining class of zero-curvature two-dimensional surfaces without umbilical points (the so-called tangent surfaces). We are also able to prove a decoupling theorem for the real analytic surfaces of revolution. These results should be viewed as partial progress toward the goal of proving a decoupling theorem for arbitrary real analytic hypersurfaces.<br />
<br />
<br />
===Kevin O'Neill===<br />
<br />
<b>A Quantitative Stability Theorem for Convolution on the Heisenberg Group </b><br />
<br />
Although convolution on Euclidean space and the Heisenberg group satisfy the same $L^p$ bounds with the same optimal constants, the former has maximizers while the latter does not. However, as work of Christ has shown, it is still possible to characterize near-maximizers. Specifically, any near-maximizing triple of the trilinear form for convolution on the Heisenberg group must be close to a particular type of triple of ordered Gaussians after adjusting by symmetry. In this talk, we will use the expansion method to prove a quantitative version of this characterization.<br />
<br />
===Francesco di Plinio===<br />
<br />
<b>Maximal directional integrals along algebraic and lacunary sets </b><br />
<br />
I will discuss two recent results obtained in collaboration with (partly) Natalia Accomazzo and Ioannis Parissis (U Basque Country). The first is a sharp $L^2$ estimate for the maximal averaging operator associated to sets of directions from algebraic sets in R^n of arbitrary codimension. The proof uses a new scheme of polynomial partitioning on manifolds which extends ideas by Larry Guth. The second result is a sharp estimate in all dimensions for the maximal directional singular integrals along lacunary directions. This settles a question of Parcet and Rogers. The proof uses a combination of two-dimensional and $n$-dimensional coverings combining seemingly contrasting ideas of Parcet-Rogers and of Nagel-Stein-Wainger.<br />
<br />
===Laurent Stolovitch===<br />
<br />
<b>Linearization of neighborhoods of embeddings of complex compact manifolds </b><br />
<br />
In this work, we address the following question due to Grauert: if a neighborhood M of a holomorphically embedded complex compact manifold C is formally equivalent to another one, are two neighborhoods biholomorphically equivalent? We shall present the case where the other neighborhood is the neighborhood of the zero section of the normal bundle of C in M. The solution to this problem involves "small divisors problems". This is joint work with X. Gong.<br />
<br />
===Bingyang Hu===<br />
<br />
<b>Sparse bounds of singular Radon transforms</b><br />
<br />
In this talk, we will first briefly talk about the general theory of sparse domination, and then talk about the sparse bounds of singular Radon transforms, which strengths the $L^p$ boundedness of such operators due to Christ, Nagel, Stein and Wainger in 1999.<br />
<br />
===Lillian Pierce===<br />
<b> On Bourgain’s counterexample for the Schrödinger maximal function </b><br />
<br />
In 1980, Carleson asked a question in harmonic analysis: to which Sobolev space H^s must an initial data function belong, for a pointwise a.e. convergence result to hold for the solution to the associated linear Schrödinger equation? Over the next decades, many people developed counterexamples to push the (necessary) range of s up, and positive results to push the (sufficient) range of s down. Now, these ranges are finally meeting: Bourgain’s 2016 counterexample showed s < n/(2(n+1)) fails, and Du and Zhang’s 2019 paper shows that s>n/(2(n+1)) suffices. <br />
In this talk, we will give an overview of how to rigorously derive Bourgain’s 2016 counterexample, based on simple facts from number theory. We will show how to build Bourgain’s counterexample starting from “zero knowledge," and how to gradually optimize the set-up to arrive at the final counterexample. The talk will be broadly accessible, particularly if we live up to the claim of starting from “zero knowledge.”<br />
<br />
===Ruixiang Zhang===<br />
<br />
<b> Local smoothing for the wave equation in 2+1 dimensions </b><br />
<br />
Sogge's local smoothing conjecture for the wave equation predicts that the local L^p space-time estimate gains a fractional derivative of order almost 1/p compared to the fixed time L^p estimates, when p>2n/(n-1). Jointly with Larry Guth and Hong Wang, we recently proved the conjecture in $\mathbb{R}^{2+1}$. I will talk about a sharp square function estimate we proved which implies the local smoothing conjecture in dimensions 2+1. A key ingredient in the proof is an incidence type theorem.<br />
<br />
===Zane Li===<br />
<br />
<b> A bilinear proof of decoupling for the moment curve</b><br />
<br />
We give a proof of decoupling for the moment curve that is inspired from nested efficient congruencing. We also discuss the relationship between Wooley's nested efficient congruencing and Bourgain-Demeter-Guth's decoupling proofs of Vinogradov's Mean Value Theorem. This talk is based on joint work with Shaoming Guo, Po-Lam Yung, and Pavel Zorin-Kranich.<br />
<br />
<br />
===Sergey Denisov===<br />
<br />
<b> De Branges canonical systems with finite logarithmic integral </b><br />
<br />
We consider measures m on the real line for which logarithmic<br />
integral exists and give a complete characterization of all Hamiltonians<br />
in de Branges canonical system for which m is the spectral measure.<br />
This characterization involves the matrix A_2 Muckenhoupt condition on a<br />
fixed scale. Our result provides a generalization of the classical<br />
theorem of Szego for polynomials orthogonal on the unit circle and<br />
complements the Krein-Wiener theorem. Based on the joint work with R.<br />
Bessonov.<br />
<br />
<br />
===Michel Alexis===<br />
<br />
<b>The Steklov problem for Trigonometric Polynomials orthogonal to a Muckenhoupt weight</b><br />
<br />
Let $\{\varphi_n\}_{n=0}^{\infty}$ be the sequence of degree $n$ polynomials on $\mathbb{T}$, orthonormal with respect to a positive weight $w$. Steklov conjectured whenever $w \geq \delta> 0$ a.e.\ then $\{\varphi_n\}$ are uniformly bounded in $L^{\infty}$. While false, this conjecture brings us to ask the following: under what regularity conditions on $w$ are $\{\varphi_n\}$ uniformly bounded in $L^p (w)$ for some $p > 2$?<br />
<br />
We discuss some answers to this question using the contraction principle and operator estimates for the Hilbert transform, in particular recent joint work with Alexander Aptakarev and Sergey Denisov for when $w$ is a Muckenhoupt weight.<br />
<br />
===William Green===<br />
<br />
<b> Dispersive estimates for the Dirac equation </b><br />
<br />
The Dirac equation was derived by Dirac in 1928 to model the behavior of subatomic particles moving at relativistic speeds. Dirac formulated a hyberbolic system of partial differential equations<br />
That can be interpreted as a sort of square root of a system of Klein-Gordon equations.<br />
<br />
The Dirac equation is considerably less well studied than other dispersive equations such as the Schrodinger, wave or Klein-Gordon equations. We will survey recent work on time-decay estimates for the solution operator. Specifically the mapping properties of the solution operator between L^p spaces. As in other dispersive equations, the existence of eigenvalues and/or resonances at the edge of the continuous spectrum affects the dynamics of the solution. We classify the threshold eigenvalue and resonance structure in two and three spatial dimensions and study their effect on the time decay. The talk with survey joint works with B. Erdogan (Illinois), M. Goldberg (Cincinnati) and E. Toprak (Rutgers).<br />
<br />
===Yifei Pan===<br />
<br />
<b>On the Sobolev space property of logarithmic modulus of holomorphic functions in C^n</b><br />
<br />
In this talk, I will present a proof of the following Sobolev space property of logarithmic modulus of holomorphic functions in C^n. If f is a holomorphic function on the unit ball B(0,1) in C^n vanishing at the origin (i.e., f(0) = 0) but it is not identically zero, then log |f| ∈ W^{1,p}(B(0, r)) for any p < 2, but log |f| is not in W^{1,2}(B(0, r)) (r < 1). As you may see, this result is rather simple to prove in the complex plane due to the discreteness of zeros of holomorphic functions. In higher dimensions, we are going to apply Hironaka’s resolution of singularity and then Harvey- Polking removable singularity method to prove the existence of weak derivatives of log |f(z)|. This is part of a joint project with Ziming Shi at Madison.<br />
<br />
===Tamás Titkos===<br />
<br />
<b>Isometries of Wasserstein spaces</b><br />
<br />
Due to its nice theoretical properties and an astonishing number of applications via optimal transport problems, probably the most intensively studied metric nowadays is the $p$-Wasserstein metric. Given a complete and separable metric space $X$ and a real number $p\geq1$, one defines the $p$-Wasserstein space $\mathcal{W}_p(X)$ as the collection of Borel probability measures with finite $p$-th moment, endowed with a distance which is calculated by means of transport plans.<br />
<br />
The main aim of our research project is to reveal the structure of the isometry group $\mathrm{Isom}(\mathcal{W}_p(X))$. Although $\mathrm{Isom}(X)$ embeds naturally into $\mathrm{Isom}(\mathcal{W}_p(X))$ by push-forward, and this embedding turned out to be surjective in many cases, these two groups are not isomorphic in general. Recently, Kloeckner described the isometry group of the quadratic Wasserstein space over the real line. It turned out that this group is extremely rich: it contains a flow of wild behaving isometries that distort the shape of measures. Following this line of investigation, we described $\mathrm{Isom}(\mathcal{W}_p(\mathbb{R}))$ and $\mathrm{Isom}(\mathcal{W}_p([0,1])$ for all $p\geq 1$. In this talk I will survey first some of the earlier results in the subject, and then I will present the key results of our recent manuscript \emph{"Isometric study of Wasserstein spaces -- The real line"} (to appear in Trans. Amer. Math. Soc., arXiv:2002.00859).<br />
<br />
Joint work with György Pál Gehér (University of Reading) and Dániel Virosztek (IST Austria).<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19265Analysis Seminar2020-03-13T00:56:52Z<p>Seeger: /* Yifei Pan */</p>
<hr />
<div>'''Fall 2019 and Spring 2020 Analysis Seminar Series<br />
'''<br />
<br />
The seminar will meet Tuesdays, 4:00 p.m. in VV B139, unless otherwise indicated.<br />
<br />
If you wish to invite a speaker please contact Brian at street(at)math<br />
<br />
===[[Previous Analysis seminars]]===<br />
<br />
= Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Sept 10<br />
| José Madrid<br />
| UCLA<br />
|[[#José Madrid | On the regularity of maximal operators on Sobolev Spaces ]]<br />
| Andreas, David<br />
|-<br />
|Sept 13 (Friday, B139)<br />
| Yakun Xi<br />
| University of Rochester<br />
|[[#Yakun Xi | Distance sets on Riemannian surfaces and microlocal decoupling inequalities ]]<br />
| Shaoming<br />
|-<br />
|Sept 17<br />
| Joris Roos<br />
| UW Madison<br />
|[[#Joris Roos | L^p improving estimates for maximal spherical averages ]]<br />
| Brian<br />
|-<br />
|Sept 20 (2:25 PM Friday, Room B139 VV)<br />
| Xiaojun Huang<br />
| Rutgers University–New Brunswick<br />
|[[#linktoabstract | A generalized Kerner theorem and hyperbolic metrics on Stein spaces with compact spherical boundaries ]]<br />
| Xianghong<br />
|-<br />
|Oct 1<br />
| Xiaocheng Li<br />
| UW Madison<br />
|[[#Xiaocheng Li | An Estimate for Spherical Functions on $\mathrm{SL}(3,\mathbb{R})$ ]]<br />
| Simon<br />
|-<br />
|Oct 8<br />
| Jeff Galkowski<br />
| Northeastern University<br />
|[[#Jeff Galkowski | Concentration and Growth of Laplace Eigenfunctions ]]<br />
| Betsy<br />
|-<br />
|Oct 15<br />
| David Beltran<br />
| UW Madison<br />
|[[#David Beltran | Regularity of the centered fractional maximal function ]]<br />
| Brian<br />
|-<br />
|Oct 22<br />
| Laurent Stolovitch<br />
| University of Côte d'Azur<br />
|[[#Laurent Stolovitch | Linearization of neighborhoods of embeddings of complex compact manifolds ]]<br />
| Xianghong<br />
|-<br />
|<b>Wednesday Oct 23 in B129</b><br />
|Dominique Kemp<br />
|Indiana University<br />
|[[#Dominique Kemp | Decoupling for Real Analytic Surfaces Exhibiting Zero Curvature]]<br />
|Betsy<br />
|-<br />
|Oct 29<br />
| Bingyang Hu<br />
| UW Madison<br />
|[[#Bingyang Hu | Sparse bounds of singular Radon transforms]]<br />
| Brian<br />
|-<br />
|Nov 5<br />
| Kevin O'Neill<br />
| UC Davis<br />
|[[#Kevin O'Neill | A Quantitative Stability Theorem for Convolution on the Heisenberg Group ]]<br />
| Betsy<br />
|-<br />
|Nov 12<br />
| Francesco di Plinio<br />
| Washington University in St. Louis<br />
|[[#Francesco di Plinio | Maximal directional integrals along algebraic and lacunary sets]]<br />
| Shaoming<br />
|-<br />
|Nov 13 (Wednesday)<br />
| Xiaochun Li <br />
| UIUC<br />
|[[#Xiaochun Li | Roth's type theorems on progressions]]<br />
| Brian, Shaoming<br />
|-<br />
|Nov 19<br />
| Joao Ramos<br />
| University of Bonn<br />
|[[#Joao Ramos | Fourier uncertainty principles, interpolation and uniqueness sets ]]<br />
| Joris, Shaoming<br />
|-<br />
|Jan 21<br />
| No Seminar<br />
| <br />
|<br />
|<br />
|-<br />
|Friday, Jan 31, 4 pm, B239, Colloquium<br />
| Lillian Pierce<br />
| Duke University<br />
|[[#Lillian Pierce | On Bourgain’s counterexample for the Schrödinger maximal function ]]<br />
| Andreas, Simon<br />
|-<br />
|Feb 4<br />
| Ruixiang Zhang<br />
| UW Madison<br />
|[[#Ruixiang Zhang | Local smoothing for the wave equation in 2+1 dimensions ]]<br />
| Andreas<br />
|-<br />
|Feb 11<br />
| Zane Li<br />
| Indiana University<br />
|[[#Zane Li | A bilinear proof of decoupling for the moment curve ]]<br />
| Betsy<br />
|-<br />
|Feb 18<br />
| Sergey Denisov<br />
| UW Madison<br />
|[[#linktoabstract | De Branges canonical systems with finite logarithmic integral ]]<br />
| Brian<br />
|-<br />
|Feb 25<br />
| Michel Alexis<br />
| UW Madison<br />
|[[#Michel Alexis | The Steklov problem for trigonometric polynomials orthogonal to a Muckenhoupt weight ]]<br />
| Sergey<br />
|-<br />
|Friday, Feb 28 (Colloquium)<br />
| Brett Wick<br />
| Washington University - St. Louis<br />
|[[#MBrett Wick | The Corona Theorem]]<br />
| Andreas<br />
|-<br />
|Mar 3<br />
| William Green<br />
| Rose-Hulman Institute of Technology<br />
|[[#William Green | Dispersive estimates for the Dirac equation ]]<br />
| Betsy<br />
|-<br />
|Mar 10<br />
| Ziming Shi<br />
| UW Madison<br />
|[[#linktoabstract |On the Sobolev space property of logarithmic modulus of holomorphic functions in C^n]]<br />
| Xianghong<br />
|-<br />
|Mar 17<br />
| Spring Break!<br />
|<br />
|<br />
| <br />
|-<br />
|Mar 24<br />
| Oscar Dominguez<br />
| Universidad Complutense de Madrid<br />
|Canceled<br />
| Andreas<br />
|-<br />
|Mar 31<br />
| Brian Street<br />
| University of Wisconsin-Madison<br />
|Canceled<br />
| Local<br />
|-<br />
|Apr 7<br />
| Hong Wang<br />
| Institution<br />
|Canceled<br />
| Street<br />
|-<br />
|<b>Monday, Apr 13</b><br />
|Yumeng Ou<br />
|CUNY, Baruch College<br />
|Canceled<br />
|Zhang<br />
|-<br />
|Apr 14<br />
| Tamás Titkos<br />
| BBS University of Applied Sciences & Rényi Institute<br />
|Canceled<br />
| Street<br />
|-<br />
|Apr 21<br />
| Diogo Oliveira e Silva<br />
| University of Birmingham<br />
|Canceled<br />
| Betsy<br />
|-<br />
|Apr 28<br />
| No Seminar<br />
|-<br />
|May 5<br />
|Jonathan Hickman<br />
|University of Edinburgh<br />
|<br />
| Andreas<br />
|-<br />
|}<br />
<br />
=Abstracts=<br />
===José Madrid===<br />
<br />
Title: On the regularity of maximal operators on Sobolev Spaces<br />
<br />
Abstract: In this talk, we will discuss the regularity properties (boundedness and<br />
continuity) of the classical and fractional maximal<br />
operators when these act on the Sobolev space W^{1,p}(\R^n). We will<br />
focus on the endpoint case p=1. We will talk about<br />
some recent results and current open problems.<br />
<br />
===Yakun Xi===<br />
<br />
Title: Distance sets on Riemannian surfaces and microlocal decoupling inequalities <br />
<br />
Abstract: In this talk, we discuss the generalization of the Falconer distance problem to the Riemannian setting. In particular, we extend the recent result of Guth-Iosevich-Ou-Wang for the distance set in the plane to general Riemannian surfaces. The key new ingredient is a family of refined decoupling inequalities associated with phase functions that satisfy Carleson-Sj\”olin condition. This is joint work with Iosevich and Liu.<br />
<br />
===Joris Roos===<br />
<br />
Title: L^p improving estimates for maximal spherical averages<br />
<br />
Abstract: For a given compact set of radii $E$ we will discuss $L^p$ improving properties of maximal spherical averages with a supremum over $E$.<br />
Our results are sharp up to endpoints for a large class of $E$. A new feature is that the optimal exponents depend on both, the upper Minkowski dimension and the Assouad dimension of the set $E$.<br />
Joint work with Tess Anderson, Kevin Hughes and Andreas Seeger.<br />
<br />
<br />
<br />
===Joao Ramos===<br />
<br />
Title: Fourier uncertainty principles, interpolation and uniqueness sets<br />
<br />
Abstract: A classical result in the theory of entire functions of exponential type, Shannon’s interpolation formula predicates that, given a function whose Fourier transform vanishes outside the interval $[-1/2,1/2]$, it is possible to recover it from its values at the integers. More specifically, it holds, in a suitable sense of convergence, that <br />
<br />
$$ f(x) = \sum_{n \in \mathbb{Z}} f(n) \frac{\sin(\pi(x-n))}{\pi(x -n)}. $$ <br />
<br />
This formula is unfortunately unavailable for arbitrary Schwartz functions on the real line, but a recent result of Radchenko and Viazovska provides us with an explicit construction of an interpolation basis for even Schwartz functions. It states, in a nutshell, that we can recover explicitly the function given its values at the squares of roots of integers. <br />
<br />
We will discuss a bit these two results, and explore, in connection to classical Fourier uncertainty results, the question of determining which pairs of sets $(A,B)$ satisfy that, if a Schwartz function $f$ vanishes on A and its Fourier transform vanishes on B, then $f \equiv 0.$ <br />
<br />
In particular, we will give sufficient conditions on $(\alpha,\beta)$ pairs of positive numbers so that, if $f$ vanishes at $\pm n^{\alpha}$ and its Fourier transform vanishes at $\pm n^{\beta}$, then $f$ is identically zero.<br />
<br />
===Xiaojun Huang===<br />
<br />
Title: A generalized Kerner theorem and hyperbolic metrics on Stein spaces with compact spherical boundaries<br />
<br />
Abstract: This is a joint work with Ming Xiao. We discuss how to construct a hyperbolic metric over a Stein space with spherical boundary. The technique we use is to employ holomorphic continuation along curves for multiple valued functions.<br />
<br />
===Xiaocheng Li===<br />
<br />
Title: An Estimate for Spherical Functions on $\mathrm{SL}(3,\mathbb{R})$<br />
<br />
Abstract: We prove an estimate for spherical functions $\phi_\lambda(a)$ on $\mathrm{SL}(3,\mathbb{R})$, establishing uniform decay in the spectral parameter $\lambda$ when the group parameter $a$ is restricted to a compact subset of the abelian subgroup $\mathrm{A}$. In the case of $\mathrm{SL}(3,\mathbb{R})$, it improves a result by J.J. Duistermaat, J.A.C. Kolk and V.S. Varadarajan by removing the limitation that $a$ should remain regular. As in their work, we estimate the oscillatory integral that appears in the integral formula for spherical functions by the method of stationary phase. However, the major difference is that we investigate the stability of the singularities arising from the linearized phase function by classifying their local normal forms when the parameters $\lambda$ and $a$ vary.<br />
<br />
<br />
===Xiaochun Li===<br />
<br />
Title: Roth’s type theorems on progressions<br />
<br />
Abstract: The arithmetic progression problems were posed by Erd\”os-Turan, answered affirmatively by Semer\’edi. However, there are still many questions remained on precise quantitative description on how large a subset shall be in oredr to guarantee a progression in it. Involving with Fourier analysis, considerable work had been accomplished recently. We will give a survey on those progress, and report our recent progress on quantitative version of Roth’s type theorem on (polynomial) progressions of short length.<br />
<br />
===Jeff Galkowski===<br />
<br />
<b>Concentration and Growth of Laplace Eigenfunctions</b><br />
<br />
In this talk we will discuss a new approach to understanding eigenfunction concentration. We characterize the features that cause an eigenfunction to saturate the standard supremum bounds in terms of the distribution of L^2 mass along geodesic tubes emanating from a point. We also show that the phenomena behind extreme supremum norm growth is identical to that underlying extreme growth of eigenfunctions when averaged along submanifolds. Finally, we use these ideas to understand a variety of measures of concentration; in each case obtaining quantitative improvements over the known bounds.<br />
<br />
===David Beltran===<br />
<br />
Title: Regularity of the centered fractional maximal function<br />
<br />
Abstract: I will report some recent progress regarding the boundedness of the map $f \mapsto |\nabla M_\beta f|$ from the endpoint space $W^{1,1}(\mathbb{R}^d)$ to $L^{d/(d-\beta)}(\mathbb{R}^d)$, where $M_\beta$ denotes the fractional version of the centered Hardy--Littlewood maximal function. A key step in our analysis is a relation between the centered and non-centered fractional maximal functions at the derivative level, which allows to exploit the known techniques in the non-centered case.<br />
<br />
This is joint work with José Madrid.<br />
<br />
===Dominique Kemp===<br />
<br />
<b>Decoupling for Real Analytic Surfaces Exhibiting Zero Curvature</b><br />
<br />
The celebrated l^2 decoupling theorem of Jean Bourgain and Ciprian Demeter presented a new perspective on a range of problems related to hypersurfaces with nonzero Gaussian curvature, such as exponential sum estimates, additive energy estimates, local smoothing, and counting solutions to Diophantine inequalities. The same authors also extended their theory to the n-dimensional cone. Following their steps, we prove optimal l^2 decoupling results for the remaining class of zero-curvature two-dimensional surfaces without umbilical points (the so-called tangent surfaces). We are also able to prove a decoupling theorem for the real analytic surfaces of revolution. These results should be viewed as partial progress toward the goal of proving a decoupling theorem for arbitrary real analytic hypersurfaces.<br />
<br />
<br />
===Kevin O'Neill===<br />
<br />
<b>A Quantitative Stability Theorem for Convolution on the Heisenberg Group </b><br />
<br />
Although convolution on Euclidean space and the Heisenberg group satisfy the same $L^p$ bounds with the same optimal constants, the former has maximizers while the latter does not. However, as work of Christ has shown, it is still possible to characterize near-maximizers. Specifically, any near-maximizing triple of the trilinear form for convolution on the Heisenberg group must be close to a particular type of triple of ordered Gaussians after adjusting by symmetry. In this talk, we will use the expansion method to prove a quantitative version of this characterization.<br />
<br />
===Francesco di Plinio===<br />
<br />
<b>Maximal directional integrals along algebraic and lacunary sets </b><br />
<br />
I will discuss two recent results obtained in collaboration with (partly) Natalia Accomazzo and Ioannis Parissis (U Basque Country). The first is a sharp $L^2$ estimate for the maximal averaging operator associated to sets of directions from algebraic sets in R^n of arbitrary codimension. The proof uses a new scheme of polynomial partitioning on manifolds which extends ideas by Larry Guth. The second result is a sharp estimate in all dimensions for the maximal directional singular integrals along lacunary directions. This settles a question of Parcet and Rogers. The proof uses a combination of two-dimensional and $n$-dimensional coverings combining seemingly contrasting ideas of Parcet-Rogers and of Nagel-Stein-Wainger.<br />
<br />
===Laurent Stolovitch===<br />
<br />
<b>Linearization of neighborhoods of embeddings of complex compact manifolds </b><br />
<br />
In this work, we address the following question due to Grauert: if a neighborhood M of a holomorphically embedded complex compact manifold C is formally equivalent to another one, are two neighborhoods biholomorphically equivalent? We shall present the case where the other neighborhood is the neighborhood of the zero section of the normal bundle of C in M. The solution to this problem involves "small divisors problems". This is joint work with X. Gong.<br />
<br />
===Bingyang Hu===<br />
<br />
<b>Sparse bounds of singular Radon transforms</b><br />
<br />
In this talk, we will first briefly talk about the general theory of sparse domination, and then talk about the sparse bounds of singular Radon transforms, which strengths the $L^p$ boundedness of such operators due to Christ, Nagel, Stein and Wainger in 1999.<br />
<br />
===Lillian Pierce===<br />
<b> On Bourgain’s counterexample for the Schrödinger maximal function </b><br />
<br />
In 1980, Carleson asked a question in harmonic analysis: to which Sobolev space H^s must an initial data function belong, for a pointwise a.e. convergence result to hold for the solution to the associated linear Schrödinger equation? Over the next decades, many people developed counterexamples to push the (necessary) range of s up, and positive results to push the (sufficient) range of s down. Now, these ranges are finally meeting: Bourgain’s 2016 counterexample showed s < n/(2(n+1)) fails, and Du and Zhang’s 2019 paper shows that s>n/(2(n+1)) suffices. <br />
In this talk, we will give an overview of how to rigorously derive Bourgain’s 2016 counterexample, based on simple facts from number theory. We will show how to build Bourgain’s counterexample starting from “zero knowledge," and how to gradually optimize the set-up to arrive at the final counterexample. The talk will be broadly accessible, particularly if we live up to the claim of starting from “zero knowledge.”<br />
<br />
===Ruixiang Zhang===<br />
<br />
<b> Local smoothing for the wave equation in 2+1 dimensions </b><br />
<br />
Sogge's local smoothing conjecture for the wave equation predicts that the local L^p space-time estimate gains a fractional derivative of order almost 1/p compared to the fixed time L^p estimates, when p>2n/(n-1). Jointly with Larry Guth and Hong Wang, we recently proved the conjecture in $\mathbb{R}^{2+1}$. I will talk about a sharp square function estimate we proved which implies the local smoothing conjecture in dimensions 2+1. A key ingredient in the proof is an incidence type theorem.<br />
<br />
===Zane Li===<br />
<br />
<b> A bilinear proof of decoupling for the moment curve</b><br />
<br />
We give a proof of decoupling for the moment curve that is inspired from nested efficient congruencing. We also discuss the relationship between Wooley's nested efficient congruencing and Bourgain-Demeter-Guth's decoupling proofs of Vinogradov's Mean Value Theorem. This talk is based on joint work with Shaoming Guo, Po-Lam Yung, and Pavel Zorin-Kranich.<br />
<br />
<br />
===Sergey Denisov===<br />
<br />
<b> De Branges canonical systems with finite logarithmic integral </b><br />
<br />
We consider measures m on the real line for which logarithmic<br />
integral exists and give a complete characterization of all Hamiltonians<br />
in de Branges canonical system for which m is the spectral measure.<br />
This characterization involves the matrix A_2 Muckenhoupt condition on a<br />
fixed scale. Our result provides a generalization of the classical<br />
theorem of Szego for polynomials orthogonal on the unit circle and<br />
complements the Krein-Wiener theorem. Based on the joint work with R.<br />
Bessonov.<br />
<br />
<br />
===Michel Alexis===<br />
<br />
<b>The Steklov problem for Trigonometric Polynomials orthogonal to a Muckenhoupt weight</b><br />
<br />
Let $\{\varphi_n\}_{n=0}^{\infty}$ be the sequence of degree $n$ polynomials on $\mathbb{T}$, orthonormal with respect to a positive weight $w$. Steklov conjectured whenever $w \geq \delta> 0$ a.e.\ then $\{\varphi_n\}$ are uniformly bounded in $L^{\infty}$. While false, this conjecture brings us to ask the following: under what regularity conditions on $w$ are $\{\varphi_n\}$ uniformly bounded in $L^p (w)$ for some $p > 2$?<br />
<br />
We discuss some answers to this question using the contraction principle and operator estimates for the Hilbert transform, in particular recent joint work with Alexander Aptakarev and Sergey Denisov for when $w$ is a Muckenhoupt weight.<br />
<br />
===William Green===<br />
<br />
<b> Dispersive estimates for the Dirac equation </b><br />
<br />
The Dirac equation was derived by Dirac in 1928 to model the behavior of subatomic particles moving at relativistic speeds. Dirac formulated a hyberbolic system of partial differential equations<br />
That can be interpreted as a sort of square root of a system of Klein-Gordon equations.<br />
<br />
The Dirac equation is considerably less well studied than other dispersive equations such as the Schrodinger, wave or Klein-Gordon equations. We will survey recent work on time-decay estimates for the solution operator. Specifically the mapping properties of the solution operator between L^p spaces. As in other dispersive equations, the existence of eigenvalues and/or resonances at the edge of the continuous spectrum affects the dynamics of the solution. We classify the threshold eigenvalue and resonance structure in two and three spatial dimensions and study their effect on the time decay. The talk with survey joint works with B. Erdogan (Illinois), M. Goldberg (Cincinnati) and E. Toprak (Rutgers).<br />
<br />
===Yifei Pan===<br />
<br />
<b>On the Sobolev space property of logarithmic modulus of holomorphic functions in C^n</b><br />
<br />
In this talk, I will present a proof of the following Sobolev space property of logarithmic modulus of holomorphic functions in C^n. If f is a holomorphic function on the unit ball B(0,1) in C^n vanishing at the origin (i.e., f(0) = 0) but it is not identically zero, then log |f| ∈ W^{1,p}(B(0, r)) for any p < 2, but log |f| is not in W^{1,2}(B(0, r)) (r < 1). As you may see, this result is rather simple to prove in the complex plane due to the discreteness of zeros of holomorphic functions. In higher dimensions, we are going to apply Hironaka’s resolution of singularity and then Harvey- Polking removable singularity method to prove the existence of weak derivatives of log |f(z)|. This is part of a joint project with Ziming Shi at Madison.<br />
<br />
===Tamás Titkos===<br />
<br />
<b>Isometries of Wasserstein spaces</b><br />
<br />
Due to its nice theoretical properties and an astonishing number of applications via optimal transport problems, probably the most intensively studied metric nowadays is the $p$-Wasserstein metric. Given a complete and separable metric space $X$ and a real number $p\geq1$, one defines the $p$-Wasserstein space $\mathcal{W}_p(X)$ as the collection of Borel probability measures with finite $p$-th moment, endowed with a distance which is calculated by means of transport plans.<br />
<br />
The main aim of our research project is to reveal the structure of the isometry group $\mathrm{Isom}(\mathcal{W}_p(X))$. Although $\mathrm{Isom}(X)$ embeds naturally into $\mathrm{Isom}(\mathcal{W}_p(X))$ by push-forward, and this embedding turned out to be surjective in many cases, these two groups are not isomorphic in general. Recently, Kloeckner described the isometry group of the quadratic Wasserstein space over the real line. It turned out that this group is extremely rich: it contains a flow of wild behaving isometries that distort the shape of measures. Following this line of investigation, we described $\mathrm{Isom}(\mathcal{W}_p(\mathbb{R}))$ and $\mathrm{Isom}(\mathcal{W}_p([0,1])$ for all $p\geq 1$. In this talk I will survey first some of the earlier results in the subject, and then I will present the key results of our recent manuscript \emph{"Isometric study of Wasserstein spaces -- The real line"} (to appear in Trans. Amer. Math. Soc., arXiv:2002.00859).<br />
<br />
Joint work with György Pál Gehér (University of Reading) and Dániel Virosztek (IST Austria).<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19264Analysis Seminar2020-03-13T00:56:32Z<p>Seeger: /* Analysis Seminar Schedule */</p>
<hr />
<div>'''Fall 2019 and Spring 2020 Analysis Seminar Series<br />
'''<br />
<br />
The seminar will meet Tuesdays, 4:00 p.m. in VV B139, unless otherwise indicated.<br />
<br />
If you wish to invite a speaker please contact Brian at street(at)math<br />
<br />
===[[Previous Analysis seminars]]===<br />
<br />
= Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Sept 10<br />
| José Madrid<br />
| UCLA<br />
|[[#José Madrid | On the regularity of maximal operators on Sobolev Spaces ]]<br />
| Andreas, David<br />
|-<br />
|Sept 13 (Friday, B139)<br />
| Yakun Xi<br />
| University of Rochester<br />
|[[#Yakun Xi | Distance sets on Riemannian surfaces and microlocal decoupling inequalities ]]<br />
| Shaoming<br />
|-<br />
|Sept 17<br />
| Joris Roos<br />
| UW Madison<br />
|[[#Joris Roos | L^p improving estimates for maximal spherical averages ]]<br />
| Brian<br />
|-<br />
|Sept 20 (2:25 PM Friday, Room B139 VV)<br />
| Xiaojun Huang<br />
| Rutgers University–New Brunswick<br />
|[[#linktoabstract | A generalized Kerner theorem and hyperbolic metrics on Stein spaces with compact spherical boundaries ]]<br />
| Xianghong<br />
|-<br />
|Oct 1<br />
| Xiaocheng Li<br />
| UW Madison<br />
|[[#Xiaocheng Li | An Estimate for Spherical Functions on $\mathrm{SL}(3,\mathbb{R})$ ]]<br />
| Simon<br />
|-<br />
|Oct 8<br />
| Jeff Galkowski<br />
| Northeastern University<br />
|[[#Jeff Galkowski | Concentration and Growth of Laplace Eigenfunctions ]]<br />
| Betsy<br />
|-<br />
|Oct 15<br />
| David Beltran<br />
| UW Madison<br />
|[[#David Beltran | Regularity of the centered fractional maximal function ]]<br />
| Brian<br />
|-<br />
|Oct 22<br />
| Laurent Stolovitch<br />
| University of Côte d'Azur<br />
|[[#Laurent Stolovitch | Linearization of neighborhoods of embeddings of complex compact manifolds ]]<br />
| Xianghong<br />
|-<br />
|<b>Wednesday Oct 23 in B129</b><br />
|Dominique Kemp<br />
|Indiana University<br />
|[[#Dominique Kemp | Decoupling for Real Analytic Surfaces Exhibiting Zero Curvature]]<br />
|Betsy<br />
|-<br />
|Oct 29<br />
| Bingyang Hu<br />
| UW Madison<br />
|[[#Bingyang Hu | Sparse bounds of singular Radon transforms]]<br />
| Brian<br />
|-<br />
|Nov 5<br />
| Kevin O'Neill<br />
| UC Davis<br />
|[[#Kevin O'Neill | A Quantitative Stability Theorem for Convolution on the Heisenberg Group ]]<br />
| Betsy<br />
|-<br />
|Nov 12<br />
| Francesco di Plinio<br />
| Washington University in St. Louis<br />
|[[#Francesco di Plinio | Maximal directional integrals along algebraic and lacunary sets]]<br />
| Shaoming<br />
|-<br />
|Nov 13 (Wednesday)<br />
| Xiaochun Li <br />
| UIUC<br />
|[[#Xiaochun Li | Roth's type theorems on progressions]]<br />
| Brian, Shaoming<br />
|-<br />
|Nov 19<br />
| Joao Ramos<br />
| University of Bonn<br />
|[[#Joao Ramos | Fourier uncertainty principles, interpolation and uniqueness sets ]]<br />
| Joris, Shaoming<br />
|-<br />
|Jan 21<br />
| No Seminar<br />
| <br />
|<br />
|<br />
|-<br />
|Friday, Jan 31, 4 pm, B239, Colloquium<br />
| Lillian Pierce<br />
| Duke University<br />
|[[#Lillian Pierce | On Bourgain’s counterexample for the Schrödinger maximal function ]]<br />
| Andreas, Simon<br />
|-<br />
|Feb 4<br />
| Ruixiang Zhang<br />
| UW Madison<br />
|[[#Ruixiang Zhang | Local smoothing for the wave equation in 2+1 dimensions ]]<br />
| Andreas<br />
|-<br />
|Feb 11<br />
| Zane Li<br />
| Indiana University<br />
|[[#Zane Li | A bilinear proof of decoupling for the moment curve ]]<br />
| Betsy<br />
|-<br />
|Feb 18<br />
| Sergey Denisov<br />
| UW Madison<br />
|[[#linktoabstract | De Branges canonical systems with finite logarithmic integral ]]<br />
| Brian<br />
|-<br />
|Feb 25<br />
| Michel Alexis<br />
| UW Madison<br />
|[[#Michel Alexis | The Steklov problem for trigonometric polynomials orthogonal to a Muckenhoupt weight ]]<br />
| Sergey<br />
|-<br />
|Friday, Feb 28 (Colloquium)<br />
| Brett Wick<br />
| Washington University - St. Louis<br />
|[[#MBrett Wick | The Corona Theorem]]<br />
| Andreas<br />
|-<br />
|Mar 3<br />
| William Green<br />
| Rose-Hulman Institute of Technology<br />
|[[#William Green | Dispersive estimates for the Dirac equation ]]<br />
| Betsy<br />
|-<br />
|Mar 10<br />
| Ziming Shi<br />
| UW Madison<br />
|[[#linktoabstract |On the Sobolev space property of logarithmic modulus of holomorphic functions in C^n]]<br />
| Xianghong<br />
|-<br />
|Mar 17<br />
| Spring Break!<br />
|<br />
|<br />
| <br />
|-<br />
|Mar 24<br />
| Oscar Dominguez<br />
| Universidad Complutense de Madrid<br />
|Canceled<br />
| Andreas<br />
|-<br />
|Mar 31<br />
| Brian Street<br />
| University of Wisconsin-Madison<br />
|Canceled<br />
| Local<br />
|-<br />
|Apr 7<br />
| Hong Wang<br />
| Institution<br />
|Canceled<br />
| Street<br />
|-<br />
|<b>Monday, Apr 13</b><br />
|Yumeng Ou<br />
|CUNY, Baruch College<br />
|Canceled<br />
|Zhang<br />
|-<br />
|Apr 14<br />
| Tamás Titkos<br />
| BBS University of Applied Sciences & Rényi Institute<br />
|Canceled<br />
| Street<br />
|-<br />
|Apr 21<br />
| Diogo Oliveira e Silva<br />
| University of Birmingham<br />
|Canceled<br />
| Betsy<br />
|-<br />
|Apr 28<br />
| No Seminar<br />
|-<br />
|May 5<br />
|Jonathan Hickman<br />
|University of Edinburgh<br />
|<br />
| Andreas<br />
|-<br />
|}<br />
<br />
=Abstracts=<br />
===José Madrid===<br />
<br />
Title: On the regularity of maximal operators on Sobolev Spaces<br />
<br />
Abstract: In this talk, we will discuss the regularity properties (boundedness and<br />
continuity) of the classical and fractional maximal<br />
operators when these act on the Sobolev space W^{1,p}(\R^n). We will<br />
focus on the endpoint case p=1. We will talk about<br />
some recent results and current open problems.<br />
<br />
===Yakun Xi===<br />
<br />
Title: Distance sets on Riemannian surfaces and microlocal decoupling inequalities <br />
<br />
Abstract: In this talk, we discuss the generalization of the Falconer distance problem to the Riemannian setting. In particular, we extend the recent result of Guth-Iosevich-Ou-Wang for the distance set in the plane to general Riemannian surfaces. The key new ingredient is a family of refined decoupling inequalities associated with phase functions that satisfy Carleson-Sj\”olin condition. This is joint work with Iosevich and Liu.<br />
<br />
===Joris Roos===<br />
<br />
Title: L^p improving estimates for maximal spherical averages<br />
<br />
Abstract: For a given compact set of radii $E$ we will discuss $L^p$ improving properties of maximal spherical averages with a supremum over $E$.<br />
Our results are sharp up to endpoints for a large class of $E$. A new feature is that the optimal exponents depend on both, the upper Minkowski dimension and the Assouad dimension of the set $E$.<br />
Joint work with Tess Anderson, Kevin Hughes and Andreas Seeger.<br />
<br />
<br />
<br />
===Joao Ramos===<br />
<br />
Title: Fourier uncertainty principles, interpolation and uniqueness sets<br />
<br />
Abstract: A classical result in the theory of entire functions of exponential type, Shannon’s interpolation formula predicates that, given a function whose Fourier transform vanishes outside the interval $[-1/2,1/2]$, it is possible to recover it from its values at the integers. More specifically, it holds, in a suitable sense of convergence, that <br />
<br />
$$ f(x) = \sum_{n \in \mathbb{Z}} f(n) \frac{\sin(\pi(x-n))}{\pi(x -n)}. $$ <br />
<br />
This formula is unfortunately unavailable for arbitrary Schwartz functions on the real line, but a recent result of Radchenko and Viazovska provides us with an explicit construction of an interpolation basis for even Schwartz functions. It states, in a nutshell, that we can recover explicitly the function given its values at the squares of roots of integers. <br />
<br />
We will discuss a bit these two results, and explore, in connection to classical Fourier uncertainty results, the question of determining which pairs of sets $(A,B)$ satisfy that, if a Schwartz function $f$ vanishes on A and its Fourier transform vanishes on B, then $f \equiv 0.$ <br />
<br />
In particular, we will give sufficient conditions on $(\alpha,\beta)$ pairs of positive numbers so that, if $f$ vanishes at $\pm n^{\alpha}$ and its Fourier transform vanishes at $\pm n^{\beta}$, then $f$ is identically zero.<br />
<br />
===Xiaojun Huang===<br />
<br />
Title: A generalized Kerner theorem and hyperbolic metrics on Stein spaces with compact spherical boundaries<br />
<br />
Abstract: This is a joint work with Ming Xiao. We discuss how to construct a hyperbolic metric over a Stein space with spherical boundary. The technique we use is to employ holomorphic continuation along curves for multiple valued functions.<br />
<br />
===Xiaocheng Li===<br />
<br />
Title: An Estimate for Spherical Functions on $\mathrm{SL}(3,\mathbb{R})$<br />
<br />
Abstract: We prove an estimate for spherical functions $\phi_\lambda(a)$ on $\mathrm{SL}(3,\mathbb{R})$, establishing uniform decay in the spectral parameter $\lambda$ when the group parameter $a$ is restricted to a compact subset of the abelian subgroup $\mathrm{A}$. In the case of $\mathrm{SL}(3,\mathbb{R})$, it improves a result by J.J. Duistermaat, J.A.C. Kolk and V.S. Varadarajan by removing the limitation that $a$ should remain regular. As in their work, we estimate the oscillatory integral that appears in the integral formula for spherical functions by the method of stationary phase. However, the major difference is that we investigate the stability of the singularities arising from the linearized phase function by classifying their local normal forms when the parameters $\lambda$ and $a$ vary.<br />
<br />
<br />
===Xiaochun Li===<br />
<br />
Title: Roth’s type theorems on progressions<br />
<br />
Abstract: The arithmetic progression problems were posed by Erd\”os-Turan, answered affirmatively by Semer\’edi. However, there are still many questions remained on precise quantitative description on how large a subset shall be in oredr to guarantee a progression in it. Involving with Fourier analysis, considerable work had been accomplished recently. We will give a survey on those progress, and report our recent progress on quantitative version of Roth’s type theorem on (polynomial) progressions of short length.<br />
<br />
===Jeff Galkowski===<br />
<br />
<b>Concentration and Growth of Laplace Eigenfunctions</b><br />
<br />
In this talk we will discuss a new approach to understanding eigenfunction concentration. We characterize the features that cause an eigenfunction to saturate the standard supremum bounds in terms of the distribution of L^2 mass along geodesic tubes emanating from a point. We also show that the phenomena behind extreme supremum norm growth is identical to that underlying extreme growth of eigenfunctions when averaged along submanifolds. Finally, we use these ideas to understand a variety of measures of concentration; in each case obtaining quantitative improvements over the known bounds.<br />
<br />
===David Beltran===<br />
<br />
Title: Regularity of the centered fractional maximal function<br />
<br />
Abstract: I will report some recent progress regarding the boundedness of the map $f \mapsto |\nabla M_\beta f|$ from the endpoint space $W^{1,1}(\mathbb{R}^d)$ to $L^{d/(d-\beta)}(\mathbb{R}^d)$, where $M_\beta$ denotes the fractional version of the centered Hardy--Littlewood maximal function. A key step in our analysis is a relation between the centered and non-centered fractional maximal functions at the derivative level, which allows to exploit the known techniques in the non-centered case.<br />
<br />
This is joint work with José Madrid.<br />
<br />
===Dominique Kemp===<br />
<br />
<b>Decoupling for Real Analytic Surfaces Exhibiting Zero Curvature</b><br />
<br />
The celebrated l^2 decoupling theorem of Jean Bourgain and Ciprian Demeter presented a new perspective on a range of problems related to hypersurfaces with nonzero Gaussian curvature, such as exponential sum estimates, additive energy estimates, local smoothing, and counting solutions to Diophantine inequalities. The same authors also extended their theory to the n-dimensional cone. Following their steps, we prove optimal l^2 decoupling results for the remaining class of zero-curvature two-dimensional surfaces without umbilical points (the so-called tangent surfaces). We are also able to prove a decoupling theorem for the real analytic surfaces of revolution. These results should be viewed as partial progress toward the goal of proving a decoupling theorem for arbitrary real analytic hypersurfaces.<br />
<br />
<br />
===Kevin O'Neill===<br />
<br />
<b>A Quantitative Stability Theorem for Convolution on the Heisenberg Group </b><br />
<br />
Although convolution on Euclidean space and the Heisenberg group satisfy the same $L^p$ bounds with the same optimal constants, the former has maximizers while the latter does not. However, as work of Christ has shown, it is still possible to characterize near-maximizers. Specifically, any near-maximizing triple of the trilinear form for convolution on the Heisenberg group must be close to a particular type of triple of ordered Gaussians after adjusting by symmetry. In this talk, we will use the expansion method to prove a quantitative version of this characterization.<br />
<br />
===Francesco di Plinio===<br />
<br />
<b>Maximal directional integrals along algebraic and lacunary sets </b><br />
<br />
I will discuss two recent results obtained in collaboration with (partly) Natalia Accomazzo and Ioannis Parissis (U Basque Country). The first is a sharp $L^2$ estimate for the maximal averaging operator associated to sets of directions from algebraic sets in R^n of arbitrary codimension. The proof uses a new scheme of polynomial partitioning on manifolds which extends ideas by Larry Guth. The second result is a sharp estimate in all dimensions for the maximal directional singular integrals along lacunary directions. This settles a question of Parcet and Rogers. The proof uses a combination of two-dimensional and $n$-dimensional coverings combining seemingly contrasting ideas of Parcet-Rogers and of Nagel-Stein-Wainger.<br />
<br />
===Laurent Stolovitch===<br />
<br />
<b>Linearization of neighborhoods of embeddings of complex compact manifolds </b><br />
<br />
In this work, we address the following question due to Grauert: if a neighborhood M of a holomorphically embedded complex compact manifold C is formally equivalent to another one, are two neighborhoods biholomorphically equivalent? We shall present the case where the other neighborhood is the neighborhood of the zero section of the normal bundle of C in M. The solution to this problem involves "small divisors problems". This is joint work with X. Gong.<br />
<br />
===Bingyang Hu===<br />
<br />
<b>Sparse bounds of singular Radon transforms</b><br />
<br />
In this talk, we will first briefly talk about the general theory of sparse domination, and then talk about the sparse bounds of singular Radon transforms, which strengths the $L^p$ boundedness of such operators due to Christ, Nagel, Stein and Wainger in 1999.<br />
<br />
===Lillian Pierce===<br />
<b> On Bourgain’s counterexample for the Schrödinger maximal function </b><br />
<br />
In 1980, Carleson asked a question in harmonic analysis: to which Sobolev space H^s must an initial data function belong, for a pointwise a.e. convergence result to hold for the solution to the associated linear Schrödinger equation? Over the next decades, many people developed counterexamples to push the (necessary) range of s up, and positive results to push the (sufficient) range of s down. Now, these ranges are finally meeting: Bourgain’s 2016 counterexample showed s < n/(2(n+1)) fails, and Du and Zhang’s 2019 paper shows that s>n/(2(n+1)) suffices. <br />
In this talk, we will give an overview of how to rigorously derive Bourgain’s 2016 counterexample, based on simple facts from number theory. We will show how to build Bourgain’s counterexample starting from “zero knowledge," and how to gradually optimize the set-up to arrive at the final counterexample. The talk will be broadly accessible, particularly if we live up to the claim of starting from “zero knowledge.”<br />
<br />
===Ruixiang Zhang===<br />
<br />
<b> Local smoothing for the wave equation in 2+1 dimensions </b><br />
<br />
Sogge's local smoothing conjecture for the wave equation predicts that the local L^p space-time estimate gains a fractional derivative of order almost 1/p compared to the fixed time L^p estimates, when p>2n/(n-1). Jointly with Larry Guth and Hong Wang, we recently proved the conjecture in $\mathbb{R}^{2+1}$. I will talk about a sharp square function estimate we proved which implies the local smoothing conjecture in dimensions 2+1. A key ingredient in the proof is an incidence type theorem.<br />
<br />
===Zane Li===<br />
<br />
<b> A bilinear proof of decoupling for the moment curve</b><br />
<br />
We give a proof of decoupling for the moment curve that is inspired from nested efficient congruencing. We also discuss the relationship between Wooley's nested efficient congruencing and Bourgain-Demeter-Guth's decoupling proofs of Vinogradov's Mean Value Theorem. This talk is based on joint work with Shaoming Guo, Po-Lam Yung, and Pavel Zorin-Kranich.<br />
<br />
<br />
===Sergey Denisov===<br />
<br />
<b> De Branges canonical systems with finite logarithmic integral </b><br />
<br />
We consider measures m on the real line for which logarithmic<br />
integral exists and give a complete characterization of all Hamiltonians<br />
in de Branges canonical system for which m is the spectral measure.<br />
This characterization involves the matrix A_2 Muckenhoupt condition on a<br />
fixed scale. Our result provides a generalization of the classical<br />
theorem of Szego for polynomials orthogonal on the unit circle and<br />
complements the Krein-Wiener theorem. Based on the joint work with R.<br />
Bessonov.<br />
<br />
<br />
===Michel Alexis===<br />
<br />
<b>The Steklov problem for Trigonometric Polynomials orthogonal to a Muckenhoupt weight</b><br />
<br />
Let $\{\varphi_n\}_{n=0}^{\infty}$ be the sequence of degree $n$ polynomials on $\mathbb{T}$, orthonormal with respect to a positive weight $w$. Steklov conjectured whenever $w \geq \delta> 0$ a.e.\ then $\{\varphi_n\}$ are uniformly bounded in $L^{\infty}$. While false, this conjecture brings us to ask the following: under what regularity conditions on $w$ are $\{\varphi_n\}$ uniformly bounded in $L^p (w)$ for some $p > 2$?<br />
<br />
We discuss some answers to this question using the contraction principle and operator estimates for the Hilbert transform, in particular recent joint work with Alexander Aptakarev and Sergey Denisov for when $w$ is a Muckenhoupt weight.<br />
<br />
===William Green===<br />
<br />
<b> Dispersive estimates for the Dirac equation </b><br />
<br />
The Dirac equation was derived by Dirac in 1928 to model the behavior of subatomic particles moving at relativistic speeds. Dirac formulated a hyberbolic system of partial differential equations<br />
That can be interpreted as a sort of square root of a system of Klein-Gordon equations.<br />
<br />
The Dirac equation is considerably less well studied than other dispersive equations such as the Schrodinger, wave or Klein-Gordon equations. We will survey recent work on time-decay estimates for the solution operator. Specifically the mapping properties of the solution operator between L^p spaces. As in other dispersive equations, the existence of eigenvalues and/or resonances at the edge of the continuous spectrum affects the dynamics of the solution. We classify the threshold eigenvalue and resonance structure in two and three spatial dimensions and study their effect on the time decay. The talk with survey joint works with B. Erdogan (Illinois), M. Goldberg (Cincinnati) and E. Toprak (Rutgers).<br />
<br />
===Yifei Pan===<br />
<br />
<b>On the Sobolev space property of logarithmic modulus of holomorphic functions in C^n</b><br />
<br />
In this talk, I will present a proof of the following Sobolev space property of logarithmic modulus of holomorphic functions in C^n. If f is a holomorphic function on the unit ball B(0,1) in C^n vanishing at the origin (i.e., f(0) = 0) but it is not identically zero, then log |f| ∈ W^{1,p}(B(0, r)) for any p < 2, but log |f| is not in W^{1,2}(B(0, r)) (r < 1). As you may see, this result is rather simple to prove in the complex plane due to the discreteness of zeros of holomorphic functions. In higher dimensions, we are going to apply Hironaka’s resolution of singularity and then Harvey- Polking removable singularity method to prove the existence of weak derivatives of log |f(z)|. This is part of a joint project with Ziming Shi at Madison.<br />
<br />
<br />
===Tamás Titkos===<br />
<br />
<b>Isometries of Wasserstein spaces</b><br />
<br />
Due to its nice theoretical properties and an astonishing number of applications via optimal transport problems, probably the most intensively studied metric nowadays is the $p$-Wasserstein metric. Given a complete and separable metric space $X$ and a real number $p\geq1$, one defines the $p$-Wasserstein space $\mathcal{W}_p(X)$ as the collection of Borel probability measures with finite $p$-th moment, endowed with a distance which is calculated by means of transport plans.<br />
<br />
The main aim of our research project is to reveal the structure of the isometry group $\mathrm{Isom}(\mathcal{W}_p(X))$. Although $\mathrm{Isom}(X)$ embeds naturally into $\mathrm{Isom}(\mathcal{W}_p(X))$ by push-forward, and this embedding turned out to be surjective in many cases, these two groups are not isomorphic in general. Recently, Kloeckner described the isometry group of the quadratic Wasserstein space over the real line. It turned out that this group is extremely rich: it contains a flow of wild behaving isometries that distort the shape of measures. Following this line of investigation, we described $\mathrm{Isom}(\mathcal{W}_p(\mathbb{R}))$ and $\mathrm{Isom}(\mathcal{W}_p([0,1])$ for all $p\geq 1$. In this talk I will survey first some of the earlier results in the subject, and then I will present the key results of our recent manuscript \emph{"Isometric study of Wasserstein spaces -- The real line"} (to appear in Trans. Amer. Math. Soc., arXiv:2002.00859).<br />
<br />
Joint work with György Pál Gehér (University of Reading) and Dániel Virosztek (IST Austria).<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]</div>Seegerhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=19263Analysis Seminar2020-03-13T00:55:39Z<p>Seeger: /* Analysis Seminar Schedule */</p>
<hr />
<div>'''Fall 2019 and Spring 2020 Analysis Seminar Series<br />
'''<br />
<br />
The seminar will meet Tuesdays, 4:00 p.m. in VV B139, unless otherwise indicated.<br />
<br />
If you wish to invite a speaker please contact Brian at street(at)math<br />
<br />
===[[Previous Analysis seminars]]===<br />
<br />
= Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Sept 10<br />
| José Madrid<br />
| UCLA<br />
|[[#José Madrid | On the regularity of maximal operators on Sobolev Spaces ]]<br />
| Andreas, David<br />
|-<br />
|Sept 13 (Friday, B139)<br />
| Yakun Xi<br />
| University of Rochester<br />
|[[#Yakun Xi | Distance sets on Riemannian surfaces and microlocal decoupling inequalities ]]<br />
| Shaoming<br />
|-<br />
|Sept 17<br />
| Joris Roos<br />
| UW Madison<br />
|[[#Joris Roos | L^p improving estimates for maximal spherical averages ]]<br />
| Brian<br />
|-<br />
|Sept 20 (2:25 PM Friday, Room B139 VV)<br />
| Xiaojun Huang<br />
| Rutgers University–New Brunswick<br />
|[[#linktoabstract | A generalized Kerner theorem and hyperbolic metrics on Stein spaces with compact spherical boundaries ]]<br />
| Xianghong<br />
|-<br />
|Oct 1<br />
| Xiaocheng Li<br />
| UW Madison<br />
|[[#Xiaocheng Li | An Estimate for Spherical Functions on $\mathrm{SL}(3,\mathbb{R})$ ]]<br />
| Simon<br />
|-<br />
|Oct 8<br />
| Jeff Galkowski<br />
| Northeastern University<br />
|[[#Jeff Galkowski | Concentration and Growth of Laplace Eigenfunctions ]]<br />
| Betsy<br />
|-<br />
|Oct 15<br />
| David Beltran<br />
| UW Madison<br />
|[[#David Beltran | Regularity of the centered fractional maximal function ]]<br />
| Brian<br />
|-<br />
|Oct 22<br />
| Laurent Stolovitch<br />
| University of Côte d'Azur<br />
|[[#Laurent Stolovitch | Linearization of neighborhoods of embeddings of complex compact manifolds ]]<br />
| Xianghong<br />
|-<br />
|<b>Wednesday Oct 23 in B129</b><br />
|Dominique Kemp<br />
|Indiana University<br />
|[[#Dominique Kemp | Decoupling for Real Analytic Surfaces Exhibiting Zero Curvature]]<br />
|Betsy<br />
|-<br />
|Oct 29<br />
| Bingyang Hu<br />
| UW Madison<br />
|[[#Bingyang Hu | Sparse bounds of singular Radon transforms]]<br />
| Brian<br />
|-<br />
|Nov 5<br />
| Kevin O'Neill<br />
| UC Davis<br />
|[[#Kevin O'Neill | A Quantitative Stability Theorem for Convolution on the Heisenberg Group ]]<br />
| Betsy<br />
|-<br />
|Nov 12<br />
| Francesco di Plinio<br />
| Washington University in St. Louis<br />
|[[#Francesco di Plinio | Maximal directional integrals along algebraic and lacunary sets]]<br />
| Shaoming<br />
|-<br />
|Nov 13 (Wednesday)<br />
| Xiaochun Li <br />
| UIUC<br />
|[[#Xiaochun Li | Roth's type theorems on progressions]]<br />
| Brian, Shaoming<br />
|-<br />
|Nov 19<br />
| Joao Ramos<br />
| University of Bonn<br />
|[[#Joao Ramos | Fourier uncertainty principles, interpolation and uniqueness sets ]]<br />
| Joris, Shaoming<br />
|-<br />
|Jan 21<br />
| No Seminar<br />
| <br />
|<br />
|<br />
|-<br />
|Friday, Jan 31, 4 pm, B239, Colloquium<br />
| Lillian Pierce<br />
| Duke University<br />
|[[#Lillian Pierce | On Bourgain’s counterexample for the Schrödinger maximal function ]]<br />
| Andreas, Simon<br />
|-<br />
|Feb 4<br />
| Ruixiang Zhang<br />
| UW Madison<br />
|[[#Ruixiang Zhang | Local smoothing for the wave equation in 2+1 dimensions ]]<br />
| Andreas<br />
|-<br />
|Feb 11<br />
| Zane Li<br />
| Indiana University<br />
|[[#Zane Li | A bilinear proof of decoupling for the moment curve ]]<br />
| Betsy<br />
|-<br />
|Feb 18<br />
| Sergey Denisov<br />
| UW Madison<br />
|[[#linktoabstract | De Branges canonical systems with finite logarithmic integral ]]<br />
| Brian<br />
|-<br />
|Feb 25<br />
| Michel Alexis<br />
| UW Madison<br />
|[[#Michel Alexis | The Steklov problem for trigonometric polynomials orthogonal to a Muckenhoupt weight ]]<br />
| Sergey<br />
|-<br />
|Friday, Feb 28 (Colloquium)<br />
| Brett Wick<br />
| Washington University - St. Louis<br />
|[[#MBrett Wick | The Corona Theorem]]<br />
| Andreas<br />
|-<br />
|Mar 3<br />
| William Green<br />
| Rose-Hulman Institute of Technology<br />
|[[#William Green | Dispersive estimates for the Dirac equation ]]<br />
| Betsy<br />
|-<br />
|Mar 10<br />
| Yifei Pan<br />
| Purdue University Fort Wayne<br />
|[[#linktoabstract |On the Sobolev space property of logarithmic modulus of holomorphic functions in C^n]]<br />
| Xianghong<br />
|-<br />
|Mar 17<br />
| Spring Break!<br />
|<br />
|<br />
| <br />
|-<br />
|Mar 24<br />
| Oscar Dominguez<br />
| Universidad Complutense de Madrid<br />
|Canceled<br />
| Andreas<br />
|-<br />
|Mar 31<br />
| Brian Street<br />
| University of Wisconsin-Madison<br />
|Canceled<br />
| Local<br />
|-<br />
|Apr 7<br />
| Hong Wang<br />
| Institution<br />
|Canceled<br />
| Street<br />
|-<br />
|<b>Monday, Apr 13</b><br />
|Yumeng Ou<br />
|CUNY, Baruch College<br />
|Canceled<br />
|Zhang<br />
|-<br />
|Apr 14<br />
| Tamás Titkos<br />
| BBS University of Applied Sciences & Rényi Institute<br />
|Canceled<br />
| Street<br />
|-<br />
|Apr 21<br />
| Diogo Oliveira e Silva<br />
| University of Birmingham<br />
|Canceled<br />
| Betsy<br />
|-<br />
|Apr 28<br />
| No Seminar<br />
|-<br />
|May 5<br />
|Jonathan Hickman<br />
|University of Edinburgh<br />
|<br />
| Andreas<br />
|-<br />
|}<br />
<br />
=Abstracts=<br />
===José Madrid===<br />
<br />
Title: On the regularity of maximal operators on Sobolev Spaces<br />
<br />
Abstract: In this talk, we will discuss the regularity properties (boundedness and<br />
continuity) of the classical and fractional maximal<br />
operators when these act on the Sobolev space W^{1,p}(\R^n). We will<br />
focus on the endpoint case p=1. We will talk about<br />
some recent results and current open problems.<br />
<br />
===Yakun Xi===<br />
<br />
Title: Distance sets on Riemannian surfaces and microlocal decoupling inequalities <br />
<br />
Abstract: In this talk, we discuss the generalization of the Falconer distance problem to the Riemannian setting. In particular, we extend the recent result of Guth-Iosevich-Ou-Wang for the distance set in the plane to general Riemannian surfaces. The key new ingredient is a family of refined decoupling inequalities associated with phase functions that satisfy Carleson-Sj\”olin condition. This is joint work with Iosevich and Liu.<br />
<br />
===Joris Roos===<br />
<br />
Title: L^p improving estimates for maximal spherical averages<br />
<br />
Abstract: For a given compact set of radii $E$ we will discuss $L^p$ improving properties of maximal spherical averages with a supremum over $E$.<br />
Our results are sharp up to endpoints for a large class of $E$. A new feature is that the optimal exponents depend on both, the upper Minkowski dimension and the Assouad dimension of the set $E$.<br />
Joint work with Tess Anderson, Kevin Hughes and Andreas Seeger.<br />
<br />
<br />
<br />
===Joao Ramos===<br />
<br />
Title: Fourier uncertainty principles, interpolation and uniqueness sets<br />
<br />
Abstract: A classical result in the theory of entire functions of exponential type, Shannon’s interpolation formula predicates that, given a function whose Fourier transform vanishes outside the interval $[-1/2,1/2]$, it is possible to recover it from its values at the integers. More specifically, it holds, in a suitable sense of convergence, that <br />
<br />
$$ f(x) = \sum_{n \in \mathbb{Z}} f(n) \frac{\sin(\pi(x-n))}{\pi(x -n)}. $$ <br />
<br />
This formula is unfortunately unavailable for arbitrary Schwartz functions on the real line, but a recent result of Radchenko and Viazovska provides us with an explicit construction of an interpolation basis for even Schwartz functions. It states, in a nutshell, that we can recover explicitly the function given its values at the squares of roots of integers. <br />
<br />
We will discuss a bit these two results, and explore, in connection to classical Fourier uncertainty results, the question of determining which pairs of sets $(A,B)$ satisfy that, if a Schwartz function $f$ vanishes on A and its Fourier transform vanishes on B, then $f \equiv 0.$ <br />
<br />
In particular, we will give sufficient conditions on $(\alpha,\beta)$ pairs of positive numbers so that, if $f$ vanishes at $\pm n^{\alpha}$ and its Fourier transform vanishes at $\pm n^{\beta}$, then $f$ is identically zero.<br />
<br />
===Xiaojun Huang===<br />
<br />
Title: A generalized Kerner theorem and hyperbolic metrics on Stein spaces with compact spherical boundaries<br />
<br />
Abstract: This is a joint work with Ming Xiao. We discuss how to construct a hyperbolic metric over a Stein space with spherical boundary. The technique we use is to employ holomorphic continuation along curves for multiple valued functions.<br />
<br />
===Xiaocheng Li===<br />
<br />
Title: An Estimate for Spherical Functions on $\mathrm{SL}(3,\mathbb{R})$<br />
<br />
Abstract: We prove an estimate for spherical functions $\phi_\lambda(a)$ on $\mathrm{SL}(3,\mathbb{R})$, establishing uniform decay in the spectral parameter $\lambda$ when the group parameter $a$ is restricted to a compact subset of the abelian subgroup $\mathrm{A}$. In the case of $\mathrm{SL}(3,\mathbb{R})$, it improves a result by J.J. Duistermaat, J.A.C. Kolk and V.S. Varadarajan by removing the limitation that $a$ should remain regular. As in their work, we estimate the oscillatory integral that appears in the integral formula for spherical functions by the method of stationary phase. However, the major difference is that we investigate the stability of the singularities arising from the linearized phase function by classifying their local normal forms when the parameters $\lambda$ and $a$ vary.<br />
<br />
<br />
===Xiaochun Li===<br />
<br />
Title: Roth’s type theorems on progressions<br />
<br />
Abstract: The arithmetic progression problems were posed by Erd\”os-Turan, answered affirmatively by Semer\’edi. However, there are still many questions remained on precise quantitative description on how large a subset shall be in oredr to guarantee a progression in it. Involving with Fourier analysis, considerable work had been accomplished recently. We will give a survey on those progress, and report our recent progress on quantitative version of Roth’s type theorem on (polynomial) progressions of short length.<br />
<br />
===Jeff Galkowski===<br />
<br />
<b>Concentration and Growth of Laplace Eigenfunctions</b><br />
<br />
In this talk we will discuss a new approach to understanding eigenfunction concentration. We characterize the features that cause an eigenfunction to saturate the standard supremum bounds in terms of the distribution of L^2 mass along geodesic tubes emanating from a point. We also show that the phenomena behind extreme supremum norm growth is identical to that underlying extreme growth of eigenfunctions when averaged along submanifolds. Finally, we use these ideas to understand a variety of measures of concentration; in each case obtaining quantitative improvements over the known bounds.<br />
<br />
===David Beltran===<br />
<br />
Title: Regularity of the centered fractional maximal function<br />
<br />
Abstract: I will report some recent progress regarding the boundedness of the map $f \mapsto |\nabla M_\beta f|$ from the endpoint space $W^{1,1}(\mathbb{R}^d)$ to $L^{d/(d-\beta)}(\mathbb{R}^d)$, where $M_\beta$ denotes the fractional version of the centered Hardy--Littlewood maximal function. A key step in our analysis is a relation between the centered and non-centered fractional maximal functions at the derivative level, which allows to exploit the known techniques in the non-centered case.<br />
<br />
This is joint work with José Madrid.<br />
<br />
===Dominique Kemp===<br />
<br />
<b>Decoupling for Real Analytic Surfaces Exhibiting Zero Curvature</b><br />
<br />
The celebrated l^2 decoupling theorem of Jean Bourgain and Ciprian Demeter presented a new perspective on a range of problems related to hypersurfaces with nonzero Gaussian curvature, such as exponential sum estimates, additive energy estimates, local smoothing, and counting solutions to Diophantine inequalities. The same authors also extended their theory to the n-dimensional cone. Following their steps, we prove optimal l^2 decoupling results for the remaining class of zero-curvature two-dimensional surfaces without umbilical points (the so-called tangent surfaces). We are also able to prove a decoupling theorem for the real analytic surfaces of revolution. These results should be viewed as partial progress toward the goal of proving a decoupling theorem for arbitrary real analytic hypersurfaces.<br />
<br />
<br />
===Kevin O'Neill===<br />
<br />
<b>A Quantitative Stability Theorem for Convolution on the Heisenberg Group </b><br />
<br />
Although convolution on Euclidean space and the Heisenberg group satisfy the same $L^p$ bounds with the same optimal constants, the former has maximizers while the latter does not. However, as work of Christ has shown, it is still possible to characterize near-maximizers. Specifically, any near-maximizing triple of the trilinear form for convolution on the Heisenberg group must be close to a particular type of triple of ordered Gaussians after adjusting by symmetry. In this talk, we will use the expansion method to prove a quantitative version of this characterization.<br />
<br />
===Francesco di Plinio===<br />
<br />
<b>Maximal directional integrals along algebraic and lacunary sets </b><br />
<br />
I will discuss two recent results obtained in collaboration with (partly) Natalia Accomazzo and Ioannis Parissis (U Basque Country). The first is a sharp $L^2$ estimate for the maximal averaging operator associated to sets of directions from algebraic sets in R^n of arbitrary codimension. The proof uses a new scheme of polynomial partitioning on manifolds which extends ideas by Larry Guth. The second result is a sharp estimate in all dimensions for the maximal directional singular integrals along lacunary directions. This settles a question of Parcet and Rogers. The proof uses a combination of two-dimensional and $n$-dimensional coverings combining seemingly contrasting ideas of Parcet-Rogers and of Nagel-Stein-Wainger.<br />
<br />
===Laurent Stolovitch===<br />
<br />
<b>Linearization of neighborhoods of embeddings of complex compact manifolds </b><br />
<br />
In this work, we address the following question due to Grauert: if a neighborhood M of a holomorphically embedded complex compact manifold C is formally equivalent to another one, are two neighborhoods biholomorphically equivalent? We shall present the case where the other neighborhood is the neighborhood of the zero section of the normal bundle of C in M. The solution to this problem involves "small divisors problems". This is joint work with X. Gong.<br />
<br />
===Bingyang Hu===<br />
<br />
<b>Sparse bounds of singular Radon transforms</b><br />
<br />
In this talk, we will first briefly talk about the general theory of sparse domination, and then talk about the sparse bounds of singular Radon transforms, which strengths the $L^p$ boundedness of such operators due to Christ, Nagel, Stein and Wainger in 1999.<br />
<br />
===Lillian Pierce===<br />
<b> On Bourgain’s counterexample for the Schrödinger maximal function </b><br />
<br />
In 1980, Carleson asked a question in harmonic analysis: to which Sobolev space H^s must an initial data function belong, for a pointwise a.e. convergence result to hold for the solution to the associated linear Schrödinger equation? Over the next decades, many people developed counterexamples to push the (necessary) range of s up, and positive results to push the (sufficient) range of s down. Now, these ranges are finally meeting: Bourgain’s 2016 counterexample showed s < n/(2(n+1)) fails, and Du and Zhang’s 2019 paper shows that s>n/(2(n+1)) suffices. <br />
In this talk, we will give an overview of how to rigorously derive Bourgain’s 2016 counterexample, based on simple facts from number theory. We will show how to build Bourgain’s counterexample starting from “zero knowledge," and how to gradually optimize the set-up to arrive at the final counterexample. The talk will be broadly accessible, particularly if we live up to the claim of starting from “zero knowledge.”<br />
<br />
===Ruixiang Zhang===<br />
<br />
<b> Local smoothing for the wave equation in 2+1 dimensions </b><br />
<br />
Sogge's local smoothing conjecture for the wave equation predicts that the local L^p space-time estimate gains a fractional derivative of order almost 1/p compared to the fixed time L^p estimates, when p>2n/(n-1). Jointly with Larry Guth and Hong Wang, we recently proved the conjecture in $\mathbb{R}^{2+1}$. I will talk about a sharp square function estimate we proved which implies the local smoothing conjecture in dimensions 2+1. A key ingredient in the proof is an incidence type theorem.<br />
<br />
===Zane Li===<br />
<br />
<b> A bilinear proof of decoupling for the moment curve</b><br />
<br />
We give a proof of decoupling for the moment curve that is inspired from nested efficient congruencing. We also discuss the relationship between Wooley's nested efficient congruencing and Bourgain-Demeter-Guth's decoupling proofs of Vinogradov's Mean Value Theorem. This talk is based on joint work with Shaoming Guo, Po-Lam Yung, and Pavel Zorin-Kranich.<br />
<br />
<br />
===Sergey Denisov===<br />
<br />
<b> De Branges canonical systems with finite logarithmic integral </b><br />
<br />
We consider measures m on the real line for which logarithmic<br />
integral exists and give a complete characterization of all Hamiltonians<br />
in de Branges canonical system for which m is the spectral measure.<br />
This characterization involves the matrix A_2 Muckenhoupt condition on a<br />
fixed scale. Our result provides a generalization of the classical<br />
theorem of Szego for polynomials orthogonal on the unit circle and<br />
complements the Krein-Wiener theorem. Based on the joint work with R.<br />
Bessonov.<br />
<br />
<br />
===Michel Alexis===<br />
<br />
<b>The Steklov problem for Trigonometric Polynomials orthogonal to a Muckenhoupt weight</b><br />
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Let $\{\varphi_n\}_{n=0}^{\infty}$ be the sequence of degree $n$ polynomials on $\mathbb{T}$, orthonormal with respect to a positive weight $w$. Steklov conjectured whenever $w \geq \delta> 0$ a.e.\ then $\{\varphi_n\}$ are uniformly bounded in $L^{\infty}$. While false, this conjecture brings us to ask the following: under what regularity conditions on $w$ are $\{\varphi_n\}$ uniformly bounded in $L^p (w)$ for some $p > 2$?<br />
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We discuss some answers to this question using the contraction principle and operator estimates for the Hilbert transform, in particular recent joint work with Alexander Aptakarev and Sergey Denisov for when $w$ is a Muckenhoupt weight.<br />
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===William Green===<br />
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<b> Dispersive estimates for the Dirac equation </b><br />
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The Dirac equation was derived by Dirac in 1928 to model the behavior of subatomic particles moving at relativistic speeds. Dirac formulated a hyberbolic system of partial differential equations<br />
That can be interpreted as a sort of square root of a system of Klein-Gordon equations.<br />
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The Dirac equation is considerably less well studied than other dispersive equations such as the Schrodinger, wave or Klein-Gordon equations. We will survey recent work on time-decay estimates for the solution operator. Specifically the mapping properties of the solution operator between L^p spaces. As in other dispersive equations, the existence of eigenvalues and/or resonances at the edge of the continuous spectrum affects the dynamics of the solution. We classify the threshold eigenvalue and resonance structure in two and three spatial dimensions and study their effect on the time decay. The talk with survey joint works with B. Erdogan (Illinois), M. Goldberg (Cincinnati) and E. Toprak (Rutgers).<br />
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===Yifei Pan===<br />
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<b>On the Sobolev space property of logarithmic modulus of holomorphic functions in C^n</b><br />
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In this talk, I will present a proof of the following Sobolev space property of logarithmic modulus of holomorphic functions in C^n. If f is a holomorphic function on the unit ball B(0,1) in C^n vanishing at the origin (i.e., f(0) = 0) but it is not identically zero, then log |f| ∈ W^{1,p}(B(0, r)) for any p < 2, but log |f| is not in W^{1,2}(B(0, r)) (r < 1). As you may see, this result is rather simple to prove in the complex plane due to the discreteness of zeros of holomorphic functions. In higher dimensions, we are going to apply Hironaka’s resolution of singularity and then Harvey- Polking removable singularity method to prove the existence of weak derivatives of log |f(z)|. This is part of a joint project with Ziming Shi at Madison.<br />
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===Tamás Titkos===<br />
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<b>Isometries of Wasserstein spaces</b><br />
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Due to its nice theoretical properties and an astonishing number of applications via optimal transport problems, probably the most intensively studied metric nowadays is the $p$-Wasserstein metric. Given a complete and separable metric space $X$ and a real number $p\geq1$, one defines the $p$-Wasserstein space $\mathcal{W}_p(X)$ as the collection of Borel probability measures with finite $p$-th moment, endowed with a distance which is calculated by means of transport plans.<br />
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The main aim of our research project is to reveal the structure of the isometry group $\mathrm{Isom}(\mathcal{W}_p(X))$. Although $\mathrm{Isom}(X)$ embeds naturally into $\mathrm{Isom}(\mathcal{W}_p(X))$ by push-forward, and this embedding turned out to be surjective in many cases, these two groups are not isomorphic in general. Recently, Kloeckner described the isometry group of the quadratic Wasserstein space over the real line. It turned out that this group is extremely rich: it contains a flow of wild behaving isometries that distort the shape of measures. Following this line of investigation, we described $\mathrm{Isom}(\mathcal{W}_p(\mathbb{R}))$ and $\mathrm{Isom}(\mathcal{W}_p([0,1])$ for all $p\geq 1$. In this talk I will survey first some of the earlier results in the subject, and then I will present the key results of our recent manuscript \emph{"Isometric study of Wasserstein spaces -- The real line"} (to appear in Trans. Amer. Math. Soc., arXiv:2002.00859).<br />
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Joint work with György Pál Gehér (University of Reading) and Dániel Virosztek (IST Austria).<br />
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=Extras=<br />
[[Blank Analysis Seminar Template]]</div>Seeger