Representations of surface groups and Higgs bundles  II
Add to your list(s)
Download to your calendar using vCal
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 oneform, 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 HitchinKobayashi 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:
Note that exdirectory lists are not shown.
