##### Department of Mathematics,

University of California San Diego

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

### Math 209: Number Theory Seminar

## Jon Aycock

#### UC San Diego

## A p-adic Family of Quaternionic Modular Forms on a Group of Type G_2

##### Abstract:

The concept of p-adic families of automorphic forms has far reaching applications in number theory. In this talk, we will discuss one of the first examples of such a family, built from the Eisenstein series, before allowing this to inform a construction of a family on an exceptional group of type G_2.

[pre-talk at 1:20PM in APM 6402]

### December 7, 2023

### 2:00 PM

APM 7218

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