July 2, 2020

Webinar: Distance sets on Riemannian surfaces and microlocal decoupling inequalities

Yakun Xi

University of Rochester

Abstract:

In this talk, we discuss the generalization of the Falconer distance problem to the Riemannian setting. In particular, we extend the recent result of Guth-Iosevich-Ou-Wang for the distance set in the plane to general Riemannian surfaces. The key new ingredient is a family of refined decoupling inequalities associated to phase functions that satisfy Carleson-Sj´’olin condition. This is a joint work with Iosevich and Liu.

Slides for the talk (click)

Recorded video for the talk (click)