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Wednesday, May 29, 2019
4:00 PM - 5:00 PM
Linde Hall 387

Algebra and Geometry Seminar

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

For more information, please contact Math Department by phone at 626-395-4335 or by email at mathinfo@caltech.edu.