Algebra Seminar

Adam Wood
"Representation Theory of the Space of Holomorphic Polydifferentials"

Let $X$ be a smooth projective curve over an algebraically closed field and let $G$ be a finite group acting on $X$. The space of holomorphic m-polydifferentials is defined to be the space of global sections of the m-fold tensor product of the sheaf of relative differentials with itself. This space provides a representation of $G$ and a classical problem is to determine the decomposition of the space of holomorphic polydifferentials as a direct sum of indecomposable representations. We discuss work on this problem in the case when $k$ has prime characteristic $p$ and $G$ has cyclic Sylow p-subgroups.

Event Date: 
September 23, 2019 - 3:30pm to 4:20pm
217 MLH
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