Arithmetic statistics via graded Lie algebras

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• Jef Laga, University of Cambridge
• Tuesday 01 March 2022, 14:30-15:30
• MR13.

If you have a question about this talk, please contact Rong Zhou.

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.

This talk is part of the Number Theory Seminar series.

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