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SUMMARY:Weitong Wang (Harvard University)
DTSTART:20220321T153000Z
DTEND:20220321T160000Z
DTSTAMP:20260423T021228Z
UID:POINT/44
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/POINT/44/">T
 he bad part of the class group</a>\nby Weitong Wang (Harvard University) a
 s part of POINT: New Developments in Number Theory\n\n\nAbstract\nThe Cohe
 n-Lenstra-Martinet Heuristics provide us with basic ideas on the statistic
 al results class groups of number fields. We can apply the heuristics to t
 he $p$-Sylow subgroups of the class groups when $p$ does not divide the or
 der of the Galois group. In this talk\, however\, I will first present an 
 algebraic result on the structure of the $p$-Sylow subgroups of the class 
 groups when $p$ divides the Galois group. Then I will show that some of th
 ese primes can give us statistical results which show qualitative differen
 ce from primes not dividing the order of the Galois group.\n
LOCATION:https://researchseminars.org/talk/POINT/44/
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