中科院数学与系统科学研究院

数学研究所

几何分析研讨班

报告人： 王作勤 教授（中国科技大学）

题  目：On the remainders in the two-term Weyl law of planar disks and annuli

时  间：2021.08.07（星期六），10:15-11:15

地  点：思源楼817

摘  要：Weyl laws relate the asymptotic behaviors of the eigenvalues of certain geometric operators with the geometric /dynamical properties of the underlying space. In this talk I will briefly describe these connections, with an emphasis on the relation between the eigenvalue counting problem for special planar domains with integrable billiard flows and the classical lattice points counting problem. This talk is mainly based on joint works with Jingwei Guo, Wolfgang Muller and Weiwei Wang.