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).
Current Analysis Seminar Schedule
|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|
|February 2||Jongchon Kim||UBC||Title|
|February 9||Bingyang Hu||Purdue University||Title|
|February 16||David Beltran||UW - Madison||Title|
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.
Graduate Student Seminar: