##### Department of Mathematics,

University of California San Diego

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### Math 248 - Real Analysis

## Xiaojun Huang

#### Rutgers University

## Local measure preserving maps between Hermitian symmetric spaces

##### Abstract:

In this talk I would like to discuss the global rigidity property for local holomorphic maps from an open piece of a Hermitian symmetric space $M$ into a Cartesian product of $M$. This study has been related to problems in number theory in classifying the modular correspondences, as initated by the work of Clozel-Ullmo. We will discuss the work of Mok-Ng on the rigidity pehomenon when the map is local area preserving and $M$ is of non-compact type. We then focus on our recent joint work with H. Fang and M. Xiao when $M$ is of compact type.

Host: Peter Ebenfelt

### April 18, 2016

### 2:00 PM

### AP&M 7321

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