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Algebra and Geometry Seminar

Wednesday, May 29, 2019
4:00pm to 5:00pm
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Linde Hall 387
Perverse sheaves, the Katz-Klemm-Vafa formula, and the P=W conjecture
Junliang Shen, Department of Mathematics, MIT,

Perverse sheaves and their associated invariants appear naturally in the study of certain abelian fibrations. A striking example is the P=W conjecture by de Cataldo, Hausel, and Migliorini connecting the topology of Hitchin systems and Hodge theory of character varieties via non-abelian Hodge theory. I will discuss recent progress on the P=W conjecture, as well as connections to enumerative geometry for K3 surfaces, and topology of hyperkaehler manifold

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