Analysis&PDE | Distance sets on Riemannian surfaces and microlocal decoupling inequalities
报告题目:Distance sets on Riemannian surfaces and microlocal decoupling inequalities
报告人:席亚昆(美国 罗切斯特大学)
时间:2020年1月10日下午2:00-3:00
地点:浙江大学玉泉校区工商楼200-9
报告摘要: 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 with phase functions that satisfy Carleson-Sj\”olin condition. This is joint work with Iosevich and Liu.
联系人:王成波 (wangcbo@zju.edu.cn)
All are welcome!