Seminar series
Date
Thu, 26 May 2022
Time
16:00 -
17:00
Location
L5
Speaker
Jef Laga
Organisation
University of Cambridge
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. I will also mention some applications to rational points on certain families of curves.