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SUMMARY:Representations of surface groups and Higgs bundles - II - Gothen\
 , P (Universidade do Porto)
DTSTART:20110110T113000Z
DTEND:20110110T123000Z
UID:TALK28803@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:A Higgs bundle on a Riemann surface is a pair consisting of a 
 holomorphic bundle and a holomorphic one-form\, the Higgs field\, with val
 ues in a certain associated vector bundle. A theorem of Hitchin and Simpso
 n says that a stable Higgs bundle admits a metric satisfying Hitchin's equ
 ations. Together with the Theorem of Corlette and Donaldson\, the Hitchin-
 Kobayashi correspondence generalizes the classical Hodge decomposition of 
 the first cohomology of the Riemann surface\, providing a correspondence b
 etween isomorphism classes of Higgs bundles and representations of the fun
 damental group of the surface.\n
LOCATION:Seminar Room 1 Newton Institute
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