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SUMMARY:Topology of moduli spaces of vector bundles on a real algebraic cu
 rve - Schaffhauser\, FMR (Los Andes)
DTSTART:20110628T134000Z
DTEND:20110628T141000Z
UID:TALK31912@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Moduli spaces of real and quaternionic vector bundles on a cur
 ve can be expressed as Lagrangian quotients and embedded into the symplect
 ic quotient corresponding to the moduli variety of holomorphic vector bund
 les of fixed rank and degree on a smooth complex projective curve. From th
 e algebraic point of view\, these Lagrangian quotients are irreducible set
 s of real points inside a complex moduli variety endowed with an anti-holo
 morphic involution. This presentation as a quotient enables us to generali
 se the equivariant methods of Atiyah and Bott to a setting with involution
 s\, and compute the mod 2 Poincar series of these real algebraic varieties
 . This is joint work with Chiu-Chu Melissa Liu (Columbia). \n
LOCATION:Seminar Room 1\, Newton Institute
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