22 nov 2017 -- 14:00
Aula di Consiglio, Dip.Matematica, Università "La Sapienza", Roma
Abstract.
We establish geometric vanishings in certain ranges for top Segre classes of tautological bundles of punctual Hilbert schemes of K3 surfaces and K3 surfaces blown-up at one point. We show how all these Segre numbers for any surface and any polarization are formally determined by these vanishings. Building on these results, Marian-Oprea-Pandharipande and Szenes-Vergne completed the proof of the Lehn conjecture giving a formula for the generating function determined by these numbers.