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Speaker:

Shaunak Deo
Affiliation:

University of Luxembourg
Date:

Wed, 2017-04-05 14:15 - 15:15
Location:

MPIM Lecture Hall
Parent event:

Number theory lunch seminar Recently, Joel Bellaiche and Chandrashekhar Khare studied the structure of local components

of the Hecke algebras acting on modular forms modulo primes $p \geq 5$ of level $1$ and proved

that they have Krull dimension at least 2, establishing the equality under certain assumptions.

In this talk, I will explain their method and show how to generalize their results to Hecke algebras

acting on modular forms modulo $p$ of level $\Gamma_0(N)$, $\Gamma_1(N)$ where $p \geq 5$ and $(p,N) =1$.

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