July 2, 2020
Webinar: Distance sets on Riemannian surfaces and microlocal decoupling inequalities
University of Rochester
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)