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UID:20260909T032234EDT-7920K8fJHv@132.216.98.100
DTSTAMP:20260909T072234Z
DESCRIPTION:TITLE :\n	Stark's Conjectures and Hilbert's 12th Problem.\n\nABS
 TRACT :\n	In this talk we will discuss two central problems in algebraic nu
 mber theory and their interconnections: explicit class field theory and th
 e special values of L-functions. The goal of explicit class field theory i
 s to describe the abelian extensions of a ground number field via analytic
  means intrinsic to the ground field\; this question lies at the core of H
 ilbert's 12th Problem. Meanwhile\, there is an abundance of conjectures on
  the values of L-functions at certain special points. Of these\, Stark's C
 onjecture has relevance toward explicit class field theory. I will describ
 e two recent joint results with Mahesh Kakde on these topics. The first is
  a proof of the Brumer-Stark conjecture away from p=2. This conjecture sta
 tes the existence of certain canonical elements in abelian extensions of t
 otally real fields. The second is a proof of an exact formula for Brumer-S
 tark units that has been developed over the last 15 years. We show that th
 ese units together with other easily written explicit elements generate th
 e maximal abelian extension of a totally real field\, thereby giving a p-a
 dic solution to the question of explicit class field theory for these fiel
 ds.\n\nHYBRIDE\n\nThis conference will be held in hybrid mode with a limit
 ed number of 21 participants on site. To reserve your place by first come\
 , first serve\, please use the link below.\n	\n	ON-SITE : CRM - Pavillon And
 ré Aisenstadt: Salle/ Room 5340\n\nhttps://www.eventbrite.ca/e/inscription
 -csmq-decembre-2021-december-215934143837\n\nVaccination passport and ID w
 ill be required\n\n \n\nZOOM:\n\nPlease download and import the following 
 iCalendar (.ics) files to your calendar system.\n\nWeekly: https://umontre
 al.zoom.us/meeting/tJckf-qrrzgoG9EqIxUGtZlCaHo_F4k2H9ZF/ics?icsToken=98tyK
 uCrpzMpGdWWshiCRowqHYqgb-nzmHZBjfp4jTb9NgdHWA_VN8pNDZQrG4r4\n\n\n	Zoom: htt
 ps://umontreal.zoom.us/j/93983313215?pwd=clB6cUNsSjAvRmFMME1PblhkTUtsQT09
 \n	ID de réunion : 939 8331 3215\n	Code secret : 096952\n	 \n\n\n	 \n\n \n
DTSTART:20211210T190000Z
DTEND:20211210T200000Z
SUMMARY:Samit Dasgupta (Duke University)
URL:https://www.mcgill.ca/mathstat/channels/event/samit-dasgupta-duke-unive
 rsity-335377
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