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Analysis&PDE | Distance sets on Riemannian surfaces and microlocal decoupling inequalities

编辑: 时间:2020年01月07日 访问次数:214

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:2020110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!