Event time:

Thursday, October 25, 2018 - 10:20am

Location:

LOM 200

Speaker:

Andrei Negut

Speaker affiliation:

MIT

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.