##### Department of Mathematics,

University of California San Diego

****************************

### Math 248 - Analysis Seminar

## Prof. Weixia Zhu

#### University of Vienna

## Deformation of CR structures and Spectral Stability of the Kohn Laplacian

##### Abstract:

The interplay between deformation of complex structures and stability of spectrum for the complex Laplacian on compact complex manifolds was studied extensively by Kodaira and Spencer in the 1950s.

In this talk, we will discuss analogous problems for complex manifolds with boundaries and for compact CR manifolds. This talk is based on joint work with Howard Jacobowitz and Siqi Fu.

Hosts: Peter Ebenfelt and Ming Xiao

### January 10, 2024

### 4:00 PM

APM 7218

****************************