Toeplitz Operators and Hilbert Modules on Bounded Symmetric Domains
报告人：Harald Upmeier (University of Marburg,Germany)
时间：2020-10-12 16:00-17:00 (Beijing Time)
地点：Zoom meeting
Abstract: Bounded symmetric domains D=G/K are an important class of multivariable pseudo-convex domains, with close connection to representation theory of semi-simple Lie groups G and the theory of automorphic forms. We study Toeplitz operators on Hilbert spaces of holomorphic functions on D, the so-called weighted Bergman spaces, and present two recent results:
(i) Eigenvalue formulas for K-invariant Toeplitz operators, where K is the maximal compact subgroup of G, using the theory of Schur functions and partitions.
(ii) A stratification of the eigenspace bundle for K-invariant Hilbert modules, which have singularities given by determinantal varieties. The talk will include some introduction to the Jordan algebraic description of bounded symmetric domains.
Join Zoom meeting:
https://zoom.com.cn/j/64192767505?pwd=WTc2cDZYQnYxNk8xcmRkRnM4M2VwZz09
Meeting ID：641 9276 7505
Password：733772
