##### Department of Mathematics,

University of California San Diego

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### Analysis Seminar Talk

## Prof. Nordine Mir

#### Texas A&M University at Qatar

## Finite jet determination of CR maps into real-algebraic sets

##### Abstract:

We present recent results about finite jet determination of CR maps of positive codimension from real-analytic CR manifolds into real-algebraic subsets in complex space, or more generally Nash subsets. One instance of such results is the unique jet determination of germs of CR maps from minimal real-analytic CR submanifolds in $\C^N$ into Nash subsets in $\C^{N'}$ of D'Angelo finite type, for arbitrary $N,N'\geq 2$. This is joint work with B. Lamel.

Hosts: Peter Ebenfelt and Ming Xiao

### December 6, 2022

### 3:00 PM

APM 5402

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