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Department of Mathematics,
University of California San Diego

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Math 209 - Number Theory

Benedict Gross

UCSD

On Hecke's decomposition of the regular differentials on the modular curve of level p (part II)

Abstract:

In a series of papers, E. Hecke described the representation of the group $SL(2,p)$ on the regular differentials of the modular curve $X$ of level $p$. This was one of the first applications of character theory outside of finite group theory, and one of the first constructions of representations using cohomology. I will review Hecke's results, and interpret them in the modern language of automorphic representations.

Organizer: Cristian Popescu

October 13, 2016

2:00 PM

AP&M 7321

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