Arithmetic statistics via graded Lie algebras

Jef Laga (University of Cambridge)

Wednesday 9th February, 2022 16:00-17:00 Maths 110


I will explain how various results in arithmetic statistics by Bhargava, Gross, Shankar and others on 2-Selmer groups of Jacobians of (hyper)elliptic curves can be organised and reproved using the theory of graded Lie algebras, following earlier work of Thorne. This gives a uniform proof of these results and yields new theorems for certain families of non-hyperelliptic curves.

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