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 Poincaré series, and the problem of analytically interpolate families of Drinfeld modular forms for congruence subgroups at the infinity place.

number theory

Audience: researchers in the topic

Comments: The pre-talk will begin 30 minutes prior (09:30 local time).

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.