Posted in
Speaker:
Zili Zhang
Zugehörigkeit:
Stony Brook U./MPIM
Datum:
Don, 08/06/2017 - 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.
© MPI f. Mathematik, Bonn | Impressum & Datenschutz |