报告题目：

Equivariant Eigenvalues on Manifolds with Large Symmetry

报 告 人：

王作勤 教授（中国科学技术大学

报告时间：

2018年03月28日 10:30--11:30

报告地点：

数学院三楼报告厅

报告摘要：

Let $M$ be a compact Riemannian manifold on which a compact Lie group acts by isometries. In this talk I will explain how the symmetry induces extra structures in the spectrum of Laplace-type operators, and how to apply symplectic techniques to study the induced equivariant spectrum. In particular, I will discuss a) my joint works with V. Guillemin on inverse spectral results for Schrodinger operators on toric manifolds; b) my joint work with Y. Qin on the first equivariant eigenvalues of toric Kahler manifolds.