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SUMMARY:Brandon Alberts (UCSD)
DTSTART:20201029T210000Z
DTEND:20201029T220000Z
DTSTAMP:20260423T022807Z
UID:UCSD_NTS/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCSD_NTS/14/
 ">Modeling Malle's Conjecture with Random Groups</a>\nby Brandon Alberts (
 UCSD) as part of UCSD number theory seminar\n\nLecture held in normally AP
 M 7321\, currently online.\n\nAbstract\nWe construct a random group with a
  local structure that models the behavior of the absolute Galois group ${\
 \rm Gal}(\\overline{K}/K)$\, and prove that this random group satisfies Ma
 lle's conjecture for counting number fields ordered by discriminant with p
 robability 1. This work is motivated by the use of random groups to model 
 class group statistics in families of number fields (and generalizations).
  We take care to address the known counter-examples to Malle's conjecture 
 and how these may be incorporated into the random group.\n\npre-talk at 1:
 30\n
LOCATION:https://researchseminars.org/talk/UCSD_NTS/14/
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