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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Representations of surface groups and Higgs bundles - II

## Representations of surface groups and Higgs bundles - IIAdd to your list(s) Download to your calendar using vCal - Gothen, P (Universidade do Porto)
- Monday 10 January 2011, 11:30-12:30
- Seminar Room 1 Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Moduli Spaces A Higgs bundle on a Riemann surface is a pair consisting of a holomorphic bundle and a holomorphic one-form, the Higgs field, with values in a certain associated vector bundle. A theorem of Hitchin and Simpson says that a stable Higgs bundle admits a metric satisfying Hitchin’s equations. 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 between isomorphism classes of Higgs bundles and representations of the fundamental group of the surface. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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