|Date: Monday, January 30, 2017
Location: 4088 East Hall (4:10 PM to 5:30 PM)
Title: Families of p-adic automorphic forms on unitary groups
Abstract: We will start with an introduction to p-adic automorphic forms and then discuss a variant of the q-expansion principle (called the Serre-Tate expansion principle) for p-adic automorphic forms on unitary groups of arbitrary signature. We outline how this can be used to produce p-adic families of automorphic forms on unitary groups, which has applications to the construction of p-adic L-functions. This is done via an explicit description of the action of certain differential operators on the Serre-Tate expansion.
The talk is based on joint work with Ana Caraiani, Ellen Eischen, Elena Mantovan and Ila Varma.
Speaker: Jessica Fintzen
Institution: University of Michigan