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VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:Counting Higgs bundles
DTSTART:20141016T141500
DTEND:20141016T160000
DTSTAMP:20260503T035912Z
UID:17eb17193ddeb4d57526c65c3987f5f601199043c121d5c96e27b08e
CATEGORIES:Conferences - Seminars
DESCRIPTION:Olivier Schiffmann (Orsay)\n(Note unusual day\, time and place
  of the seminar.)\nWe give a closed formula (in the form of generating fun
 ctions) for the number of absolutely\nindecomposable vector bundles of giv
 en rank and degree on a smooth projective curve X of genus g over a finite
  field F_q. The answer is given by some polynomial in the Weil numbers of 
 the curve (or\, more loosely speaking\, in the 'motive' of the\ncurve). Th
 is may be viewed as an analog of the famous theorems of Kac on the number 
 of indecomposable reprsentations of quivers over finite fields.\nAdapting 
 ideas of Crawley-Boevey and Van den Bergh\, we then show that this number 
 coincides (up to an explicit power of q) with the number of stable Higgs b
 undles over X (of same rank and degree). This entails a closed formula for
  the Poincarre\npolynomial of the moduli spaces of stable Higgs bundles.
LOCATION:MA A1 10 http://plan.epfl.ch/?zoom=20&recenter_y=5864094.13968&re
 center_x=731149.38531&layerNodes=fonds\,batiments\,labels\,information\,pa
 rkings_publics\,arrets_metro\,transports_publics&floor=1&q=MA_A1%2010
STATUS:CONFIRMED
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