##### Department of Mathematics,

University of California San Diego

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### Math 209: Number Theory Seminar

## Aranya Lahiri

#### UC San Diego

## Distribution algebras of p-adic groups

##### Abstract:

My goal will be to motivate why looking at distribution algebras associated to p-adic lie groups is natural in the context of number theory. More specifically I will try to briefly outline their importance in the p-adic Langlands program. And then I will give a simple example of an overconvergent distribution algebra of certain kinds of p-adic groups with an eye towards illuminating techniques used in my work Dagger groups and p-adic distribution algebras (joint w/ Matthias Strauch and Claus Sorensen).

### April 18, 2024

### 2:00 PM

APM 6402 and online (see https://www.math.ucsd.edu/~nts

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