Intercontinental Moduli and Algebraic Geometry Seminar

Davesh Maulik
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November 7, 2022

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The $P=W$ conjecture, first proposed by de Cataldo-Hausel-Migliorini in 2010, gives a link between the topology of the moduli space of Higgs bundles on a curve and the Hodge theory of the corresponding character variety, using non-abelian Hodge theory. In this talk, I will explain this circle of ideas and discuss a recent proof of the conjecture for $GL_n$ (joint with Junliang Shen).

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