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SUMMARY:Arithmetic statistics via graded Lie algebras - Jef Laga\, Univers
 ity of Cambridge
DTSTART:20220301T143000Z
DTEND:20220301T153000Z
UID:TALK170864@talks.cam.ac.uk
CONTACT:Rong Zhou
DESCRIPTION: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 g
 raded Lie algebras\, following earlier work of Thorne. This gives a unifor
 m proof of these results and yields new theorems for certain families of n
 on-hyperelliptic curves.
LOCATION:MR13
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