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Speaker:
Jessica Fintzen
Zugehörigkeit:
Harvard Unviversity/MPI
Datum:
Mit, 16/08/2017 - 14:15 - 15:15
Location:
MPIM Lecture Hall
Parent event:
Number theory lunch seminar 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.
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