“*p*-adic *L*-functions, with a view toward unitary groups”

One approach to studying the p-adic behavior of L-functions relies on understanding p-adic

properties of certain modular (or automorphic) forms, such as congruences satisfied by their

Fourier coefficients.

In this talk, I will give an overview of p-adic L-functions and an approach to constructing

them, which relies on relating them to certain p-adic families of Eisenstein series. I will start

with the earliest examples of p-adic L-functions (due to Serre, Kubota, and Leopoldt) and

conclude with a recently completed construction of myself, Harris, Li, and Skinner.

### Details

Number Theory SeminarEllen Eischen (University of Oregon)

May 14, 2018

2:30 PM - 3:30 PM

More information available at:

http://mathematics.stanford.edu/number-theory-seminar/

### Location

Math 383-N450 Serra Mall

Bldg. 380

Room 383-N

Stanford CA 94305