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SUMMARY:Jef Laga (Cambridge)
DTSTART:20230309T220000Z
DTEND:20230309T230000Z
DTSTAMP:20260423T022813Z
UID:UCSD_NTS/80
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCSD_NTS/80/
 ">Arithmetic statistics via graded Lie algebras</a>\nby Jef Laga (Cambridg
 e) as part of UCSD number theory seminar\n\nLecture held in APM 6402 and o
 nline.\n\nAbstract\nI will explain how various results in arithmetic stati
 stics by Bhargava\, Gross\, Shankar and others on 2-Selmer groups of Jacob
 ians of (hyper)elliptic curves can be organised and reproved using the the
 ory of graded Lie algebras\, following earlier work of Thorne. This gives 
 a uniform proof of these results and yields new theorems for certain famil
 ies of non-hyperelliptic curves. I will also mention some applications to 
 rational points on certain families of curves.\n\nThe talk will involve a 
 mixture of representation theory\, number theory and algebraic geometry an
 d I will assume no familiarity with arithmetic statistics.\n\npre-talk at 
 1:20pm\n
LOCATION:https://researchseminars.org/talk/UCSD_NTS/80/
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