Algebraic cycles on Hilb(K3) and the Virasoro algebra

Geometry, Symmetry and Physics
Event time: 
Thursday, October 25, 2018 - 10:20am
LOM 200
Andrei Negut
Speaker affiliation: 
Event description: 

We will present a geometric representation theory proof of a mild version of the Beauville-Voisin conjecture for Hilbert schemes of K3 surfaces, namely the injectivity of the cycle map on the subring of Chow generated by tautological classes. To this end, we lift formulas of Lehn and Li-Qin-Wang from cohomology to Chow groups, and use them to quickly solve the problem by invoking the irreducibility criteria of Virasoro algebra modules. Joint work with Davesh Maulik.