BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY: The Tamagawa Number Formula for Affine Kac-Moody Groups (joint wo
 rk with D. Kazhdan)
DTSTART:20160307T161500
DTEND:20160307T173000
DTSTAMP:20260916T065534Z
UID:53ab6e49f9536d5c3bdee8a1b41a94ac75c5991e895c16b0d6e85cc2
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Alexander Braverman\, University of Toronto\nLet G be an
  algebraic semi-simple group (e.g. G = SL(n)). Let also F be a global fiel
 d (e.g. F = Q) and let A denote its adele ring. The "usual" Tamagawa numbe
 r formula (proved by Langlands in 1966) computes the (suitably normalized)
  volume of the quotient G(A)/G(F) in terms of values of the zeta-function 
 of F at certain numbers\, called the exponents of G (these numbers are equ
 al to 2\, 3\,…\, n when G = SL(n)). When F is the field of rational func
 tions on an algebraic curve X over a finite field\, this computation is cl
 osely related to the so called Atiyah-Bott computation of the cohomology o
 f the moduli space of G-bundles on a smooth projective curve.\nAfter expla
 ining the above results I am going to present a (somewhat indirect) genera
 lization of the Tamagawa formula to the case when G is an affine Kac-Moody
  group and F is a function field. Surprisingly\, the proof heavily uses th
 e so called Macdonald constant term identity. We are going to discuss poss
 ible (conjectural) geometric interpretations of this formula (related to m
 oduli spaces of bundles on surfaces).
LOCATION:CM04 http://plan.epfl.ch/?lang=fr&room=cm4
STATUS:CONFIRMED
END:VEVENT
END:VCALENDAR