##### Department of Mathematics,

University of California San Diego

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### Math 209 - Number Theory Seminar

## Federico Pellarin

#### U. Jean Monnet, Saint-Etienne, France

## On Drinfeld modular forms in Tate algebras

##### Abstract:

In this talk we will describe some recent works on Drinfeld modular forms with values in Tate algebras (in `equal positive characteristic'). In particular, we will discuss some remarkable identities (proved or conjectural) for Eisenstein and Poincar\'e series, and the problem of analytically interpolate families of Drinfeld modular forms for congruence subgroups at the infinity place.

Host: Nathan Green

### May 14, 2020

### 10:00 AM

### Zoom: https://kskedlaya.org/nts.cgi

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