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SUMMARY:Ila Varma (University of Toronto)
DTSTART:20210427T203000Z
DTEND:20210427T213000Z
DTSTAMP:20260423T125923Z
UID:MITNT/28
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/28/">M
 alle's conjecture for octic $D_4$-fields.</a>\nby Ila Varma (University of
  Toronto) as part of MIT number theory seminar\n\n\nAbstract\nWe consider 
 the family of normal octic fields with Galois group $D_4$\, ordered by the
 ir discriminant. In forthcoming joint work with Arul Shankar\, we verify t
 he strong form of Malle's conjecture for this family of number fields\, ob
 taining the order of growth as well as the constant of proportionality. In
  this talk\, we will discuss and review the combination of techniques from
  analytic number theory and geometry-of-numbers methods used to prove this
  and related results.\n
LOCATION:https://researchseminars.org/talk/MITNT/28/
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