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SUMMARY:On the mod 2 cohomology of moduli spaces of Real vector bundles.
DTSTART:20150217T151500
DTEND:20150217T170000
DTSTAMP:20260916T203806Z
UID:4c3a654d738cd8ca12cb2ebf3da8f6e03b6695d62e2e6af8b4f29d58
CATEGORIES:Conferences - Seminars
DESCRIPTION:Florent Schaffhauser\, Universidad de Los Andes\nIn their 1982
  paper on Yang-MIlls equations over Riemann surfaces\, Atiyah and Bott use
 d a gauge-theoretic approach to compute the rational Betti numbers of modu
 li spaces of stable vector bundles of coprime rank and degree over a compa
 ct Riemann surface of genus 2 or higher\, and to find generators of the co
 homology rings of those spaces. When the Riemann surface is endowed with a
 n anti-holomorphic involution\, one can construct moduli spaces of Real an
 d Quaternionic vector bundles over it\, again via a gauge-theoretic approa
 ch. In this talk\, we describe what is known about the mod 2 cohomology ri
 ng of those moduli spaces. This is based on joint work with Chiu-Chu Melis
 sa Liu.
LOCATION:MAA330 http://plan.epfl.ch/?zoom=20&recenter_y=5864131.98476&rece
 nter_x=731135.48838&layerNodes=fonds\,batiments\,labels\,information\,park
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STATUS:CONFIRMED
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