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Arithmetic statistics via graded Lie algebras

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Beth Romano
University of Cambridge
Tue, 2019-06-04 16:45 - 17:45
MPIM Lecture Hall

I will talk about recent work with Jack Thorne in which we find the average size of the 3-Selmer group for a family of genus-2 curves by analyzing a graded Lie algebra of type $E_8$. I  will focus on the role representation theory plays in our proofs.

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