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UID:20251122T034229EST-5197IRm91n@132.216.98.100
DTSTAMP:20251122T084229Z
DESCRIPTION:Title: On Malle's conjecture for nilpotent groups.\n\nAbstract:
  Malle's conjecture is a strengthening of the Galois inverse problem\, ask
 ing for an asymptotic formula for the count of G-extensions with bounded r
 amification invariant (discriminant\, conductor etc). Yet\, even in the ca
 se of nilpotent groups\, where the Galois inverse problem was solved by Sh
 afarevich\, Malle's conjecture is as of now wide open\, with the exception
  of abelian groups (Wright) and a few sporadic families of exceptions.\n	I 
 will discuss past and ongoing joint work in progress with Peter Koymans on
  this conjecture\, for various orderings. I will explain how the problem i
 s sensitive to the ordering of the fields\, and the connection between the
  discriminant count and the Cohen--Lenstra heuristics. Next\, I will expla
 in a new approach we have introduced\, in 2021\, to attack nilpotent Malle
  and the partial results obtained so far with that method. Finally\, I wil
 l discuss work in progress where\, under GRH\, we prove Malle's conjecture
  for all odd nilpotent groups\, when extensions are ordered by the product
  of ramified primes.\n\nSéminaire Québec-Vermont Number Theory\n	Concordia 
 University\, Library Building\, 9th floor\, room LB 921-4\n\nSite web : ht
 tps://montrealnumbertheory.org/seminars\n
DTSTART:20221124T193000Z
DTEND:20221124T210000Z
SUMMARY:Carlo Pagano (Concordia Unversity
URL:/mathstat/channels/event/carlo-pagano-concordia-un
 versity-343762
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