Difference between revisions of "Analysis Seminar"
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The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger. | The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger. | ||
It will be online at least for the Fall semester, with details to be announced in September. | It will be online at least for the Fall semester, with details to be announced in September. | ||
− | 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). | + | 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). |
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 | 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 | ||
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|Polona Durcik | |Polona Durcik | ||
| Chapman University | | Chapman University | ||
− | |[[# | + | |[[#Polona Durcik and Joris Rooslinktoabstract | A triangular Hilbert transform with curvature, I ]] |
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− | |September 30 | + | |Wednesday September 30, 4 p.m. |
|Joris Roos | |Joris Roos | ||
|University of Massachusetts - Lowell | |University of Massachusetts - Lowell | ||
− | |[[# | + | |[[#Polona Durcik and Joris Roos | A triangular Hilbert transform with curvature, II ]] |
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|David Beltran | |David Beltran | ||
|UW - Madison | |UW - Madison | ||
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− | === | + | ===Polona Durcik and Joris Roos=== |
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− | + | Title: A triangular Hilbert transform with curvature, I & II. | |
+ | Abstract: The triangular Hilbert is a two-dimensional bilinear singular | ||
+ | originating in time-frequency analysis. No Lp bounds are currently | ||
+ | known for this operator. | ||
+ | In these two talks we discuss a recent joint work with Michael Christ | ||
+ | on a variant of the triangular Hilbert transform involving curvature. | ||
+ | This object is closely related to the bilinear Hilbert transform with | ||
+ | curvature and a maximally modulated singular integral of Stein-Wainger | ||
+ | type. As an application we also discuss a quantitative nonlinear Roth | ||
+ | type theorem on patterns in the Euclidean plane. | ||
+ | The second talk will focus on the proof of a key ingredient, a certain | ||
+ | regularity estimate for a local operator. | ||
===Name=== | ===Name=== |
Revision as of 00:57, 25 September 2020
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger. It will be online at least for the Fall semester, with details to be announced in September. 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).
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
If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).
Contents
Previous_Analysis_seminars
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars
Current Analysis Seminar Schedule
date | speaker | institution | title | host(s) |
---|---|---|---|---|
September 22 | Alexei Poltoratski | UW Madison | Dirac inner functions | |
September 29 | Polona Durcik | Chapman University | A triangular Hilbert transform with curvature, I | |
Wednesday September 30, 4 p.m. | Joris Roos | University of Massachusetts - Lowell | A triangular Hilbert transform with curvature, II | |
October 6 | Andrew Zimmer | UW Madison | Title | |
October 13 | Hong Wang | Princeton/IAS | Title | |
October 20 | Kevin Luli | UC Davis | Title | |
October 27 | Terence Harris | Cornell University | Title | |
Monday, November 2, 4 p.m. | Yuval Wigderson | Stanford University | Title | |
November 10 | Óscar Domínguez | Universidad Complutense de Madrid | Title | |
November 17 | Tamas Titkos | BBS U of Applied Sciences and Renyi Institute | Title | |
November 24 | Shukun Wu | University of Illinois (Urbana-Champaign) | Title | |
December 1 | Jonathan Hickman | The University of Edinburgh | Title | |
December 8 | TBA | Title | ||
February 2 | Jongchon Kim | UBC | Title | |
February 9 | Bingyang Hu | Purdue University | Title | |
February 16 | David Beltran | UW - Madison | Title | |
February 23 | Title | |||
March 2 | Title | |||
March 9 | Title | |||
March 16 | TBA | Title | ||
March 23 | Title | |||
March 30 | Title | |||
April 6 | Title | |||
April 13 | Title | |||
April 20 | Title | |||
April 27 | Title | |||
May 4 | Title |
Abstracts
Alexei Poltoratski
Title: Dirac inner functions
Abstract: My talk will focus on some new (and old) complex analytic objects arising from Dirac systems of differential equations. We will discuss connections between problems in complex function theory, spectral and scattering problems for differential operators and the non-linear Fourier transform.
Polona Durcik and Joris Roos
Title: A triangular Hilbert transform with curvature, I & II.
Abstract: The triangular Hilbert is a two-dimensional bilinear singular originating in time-frequency analysis. No Lp bounds are currently known for this operator. In these two talks we discuss a recent joint work with Michael Christ on a variant of the triangular Hilbert transform involving curvature. This object is closely related to the bilinear Hilbert transform with curvature and a maximally modulated singular integral of Stein-Wainger type. As an application we also discuss a quantitative nonlinear Roth type theorem on patterns in the Euclidean plane. The second talk will focus on the proof of a key ingredient, a certain regularity estimate for a local operator.
Name
Title
Abstract
Name
Title
Abstract
Name
Title
Abstract
Extras
Blank Analysis Seminar Template
Graduate Student Seminar:
https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html