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Speaker:

Sho Takemori
Affiliation:

Hokkaido University/MPI
Date:

Thu, 2017-08-03 15:00 - 16:00
Location:

MPIM Lecture Hall
Parent event:

MPI-Oberseminar In this talk, I will talk about some congruence relations of Siegel/Hermitian modular forms

modulo a prime.

Prof. Böcherer and Prof. Nagaoka generalized theta operator, which Swinnerton-Dyer, Serre and

Katz considered in elliptic modular form case, to Siegel modular form case.

We are interested in investigating the mod p kernel of the theta operator.

In this talk, I will construct some elements of the mod p kernel of the theta operator

using Siegel-Eisenstein series of odd degrees.

I will also talk about a similar result in Hermitian modular form case if time permits.

This is a joint work with Prof. Nagaoka (Kindai university).

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