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Zili Zhang "P=W: a strange identity for affine Dynkin diagrams"
Start Date: 9/18/2018Start Time: 4:30 PM
End Date: 9/18/2018End Time: 5:30 PM
Event Description:
Speaker: Zili Zhang, Michigan

Abstract: : Start with a compact Riemann surface X with marked points and a complex reductive group G. According to Hitchin-Simpson's nonabelian Hodge theory, the pair (X,G) comes with two new complex
varieties: the character variety M_B and the Higgs moduli M_D. I will present some aspects of this story and discuss a new identity P=W indexed by affine Dynkin diagrams - occurring in the singular cohomology groups of M_D and M_B, where P and W dwell. Based on joint work with Junliang Shen.
Location Information:
Homewood - Krieger
Room: 302
Remarks:
Department Mathematics
Algebraic Geometry

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