Speaker:Xi Yakun,Researcher of the Hundred Talents Program, School of Mathematical Sciences, Zhejiang University

Date:Oct.28, 2021

Time:16:00-17:00

Location:Tencent Meeting, ID:616 030 597

Sponsor:School of Mathematics, Shandong University

Abstract:

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 with phase functions that satisfy Carleson-Sjölin condition. This is joint work with Alex Iosevich and Bochen Liu.

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