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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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RTG Colloquium
Benedict Gross
UCSD
On Hecke's decomposition of the regular differentials on the modular curve of level p (part I)
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.
Organizers: Algebra/Algebraic Geometry/Number Theory RTG Group
October 6, 2016
4:00 PM
AP&M 6402
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