### Arithmetic statistics via graded Lie algebras

Heilbronn Number Theory Seminar

13th February 2019, 4:00 pm – 5:00 pm

Howard House, 4th Floor Seminar Room

I will talk about recent work with Jack Thorne in which we find the average size of the 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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