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Higgs Bundles on Riemann Surfaces

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Dr. Eugene Xia, University of Massachusetts, Amherst

What
  • Topology Seminar
When Thu, Feb 14, 2002
from 04:10 PM to 05:00 PM
Where RH 237
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Abstract: We construct Higgs bundles on a Riemann surface and describe how the moduli of Higgs bundles relates to the representation variety of the surface. The talk will present the main structure of the theory by using the abelian Hodge theory as examples for exposition. Applications include the study of the topology of the representation varieties of Riemann surfaces.

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