BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Arul Shankar (University of Toronto)
DTSTART:20201105T183000Z
DTEND:20201105T193000Z
DTSTAMP:20260423T024536Z
UID:MAGIC/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MAGIC/22/">T
 he number of $D_4$-extensions of $\\mathbb Q$</a>\nby Arul Shankar (Univer
 sity of Toronto) as part of MAGIC (Michigan - Arithmetic Geometry Initiati
 ve - Columbia)\n\n\nAbstract\nWe will begin with a summary of how Malle's 
 conjecture and Bhargava's heuristics can be used to develop the "Malle--Bh
 argava heuristics"\, predicting the asymptotics in families of number fiel
 ds\, ordered by a general class of invariants.\n\nWe will then specialize 
 to the case of $D_4$-number fields. Even in this (fairly simple) case\, wh
 ere the fields can be parametrized quite explicitly\, the question of dete
 rmining asymptotics can get quite complicated. We will discuss joint work 
 with Altug\, Varma\, and Wilson\, in which we recover asymptotics when qua
 rtic $D_4$ fields are ordered by conductor. And we will finally discuss jo
 int work with Varma\, in which we recover Malle's conjecture for octic $D_
 4$-fields.\n
LOCATION:https://researchseminars.org/talk/MAGIC/22/
END:VEVENT
END:VCALENDAR