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Structure of Hecke algebras modulo $p$

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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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