Betsy Stovall, Associate Professor and L&S Mary Herman Rubenstein Professor at the University of Wisconsin-Madison, will present a colloquium titled “Maximizers and Near-Maximizers for Fourier Restriction Inequalities” as part of the Mathematics Department Women Lecture Series in celebration of the 50th anniversary of the Association for Women in Mathematics.
The abstract for the lecture is: Fourier restriction phenomena allow us to make sense out of the restriction of the Fourier transform of an Lp function (nominally only defined almost everywhere) on measure zero sets, provided these sets possess sufficient curvature. In the dual formulation, "tubes" whose directions are restricted to lie along some curved set can only overlap with one another on a relatively small region of space. More quantitatively, such phenomena are reflected by Lebesgue space bounds for the Fourier restriction operator. In this talk, we will describe some open questions and recent results regarding the existence of functions that provide a worst-case scenario by saturating these Lebesgue space bounds.
Streamed live: : https://youtu.be/u2kW4PTRxek
Tuesday, March 30 at 2:30pm to 3:20pm