Arithmetic statistics via graded Lie algebras

Speaker:

Beth Romano

Affiliation:

University of Cambridge

Date:

Tue, 04/06/2019 - 16:45 - 17:45

Location:

MPIM Lecture Hall [2]

Parent event:

Conference on "Enumerative Arithmetic and the Cohen–Lenstra Heuristics", June 3 - 7, 2019 [3]

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.