Fall 2021 and Spring 2022 Analysis Seminars

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 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).

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
September 30	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

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

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.

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Blank Analysis Seminar Template

Graduate Student Seminar:

https://www.math.wisc.edu/~sguo223/2020Fall_graduate_seminar.html