一、题目

Distance sets on Riemannian surfaces and microlocal decoupling inequalities

二、主讲人

席亚昆

三、摘要

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.

四、主讲人简介

席亚昆，浙江大学数学科学学院百人计划研究员，博士生导师。美国《数学评论》与德国《数学文摘》评论员。席亚昆教授于2017年毕业于美国约翰霍普金斯大学，获得理学博士。已在American Journal of Mathematics, Transactions of the American Mathematical Society, Communications in Mathematical Physics等国际著名期刊发表论文多篇。

五、邀请人

孟宪昌 数学学院教授

六、时间

10月28日（周四）16:00-17:00

七、地点

腾讯会议，会议ID: 616 030 597

八、主办方

山东大学数学学院