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Session
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Geometry of moduli spaces of Higgs bundles on curves |
Jochen Heinloth, Universität Duisburg-Essen, Germany
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A part of this talk is based on joint work with O. García-Prada and A. Schmitt
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Moduli spaces of Higgs bundles possess a wealth of unusual geometric
properties that made them appear in very different contexts:
They admit a natural family of different complex structures,
form an integrable system, give a geometric description of terms appearing
in the trace formula, are diffeomorphic to character varieties, etc.
In the talk I will try to explain some of these structures and report on some recent results and open questions on the geometry of these spaces.
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