题目: Weyl asymptotic for hypoelliptic operators on graded Lie group

报告人：新南威尔士大学刘诗琪博士后

时间：2024年12月17日19:00-20:00

腾讯会议：502-456-650

会议密码：3346

摘要: Weyl-type asymptotics have a long history, dating back to H. Weyl. In our recent work, we establish a spectral asymptotic formula for the negative powers of hypoelliptic operators on graded Lie groups. Along the way, we derive elliptic estimates for hypoelliptic operators on graded Lie groups without relying on pseudodifferential calculus, which is a common tool in this area. This is a joint work with Edward McDonald, Fedor Sukochev, and Dmitriy Zanin.

简介：刘诗琪，2023年Ph.D.毕业于Penn State University (宾州州立大学,美国)，师从Nigel Higson，现为UNSW Sydney博士后。博士期间主要工作是重构Hypoelliptic Laplacian算子的分析，这是由法国数学家Jean-Michel Bismut构造的含参数亚椭圆算子，在指标定理、李群表示论中有重要应用。