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.

number theory

Audience: researchers in the topic

Comments: pre-talk at 1:20pm in APM 6402

UCSD number theory seminar

Series comments: Most talks are preceded by a pre-talk for graduate students and postdocs. The pre-talks start 40 minutes prior to the posted time (usually at 1:20pm Pacific) and last about 30 minutes.