Arithmetic statistics and graded Lie algebras
Arithmetic statistics and graded Lie algebras
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Jef Laga, University of Cambridge
Online Talk听 *Please note the change in time*
Zoom Link:听
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.