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Speaker:

Zili Zhang
Affiliation:

Stony Brook U./MPIM
Date:

Thu, 2017-06-08 15:00 - 16:00
Location:

MPIM Lecture Hall
Parent event:

MPI-Oberseminar Given a proper morphism between algebraic varieties, the rational cohomology groups of the source are endowed with the perverse filtration. In this talk, I will introduce five families of Hitchin systems which are Hilbert schemes of points on surfaces. I will discuss why the perverse filtrations associated with these Hitchin maps are multiplicative. The same method works for Hilbert schemes of points of elliptic K3 surfaces. I will also discuss the connection between the multiplicativity of the perverse filtration and the P=W conjecture for reductive groups.

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