04/05/2024
By Joris Roos

The Department of Mathematics & Statistics invites you to attend a colloquium lecture by Dominique Maldague from Massachusetts Institute of Technology.

The talk will be delivered in person, but it is also possible to attend via Zoom.
Everyone is welcome.

Title: Sharp square function estimates in Fourier restriction theory
Date: Wednesday, April 10
Time: 11 a.m. to noon
Room: Southwick 350W

Abstract: This talk will provide an overview of recent developments in Fourier restriction theory, which is the study of exponential sums over restricted frequency sets with geometric structure, typically arising in pde or number theory. Decoupling inequalities measure the square root cancellation behavior of these exponential sums. I will highlight recent work which uses the latest tools developed in decoupling theory to prove much more delicate sharp square function estimates for frequencies lying in the cone in R^3 (Guth-Wang-Zhang) and moment curves (t,t^2,...,t^n) in all dimensions (Guth-Maldague).

For future events in this colloquium series, visit the Math website.