K-theoretic invariants of Hilbert schemes of points and Quot schemes on surfaces

In the first part of the talk, I will establish the rationality of generating series formed from Euler characteristics of tautological bundles over Hilbert schemes of points on surfaces. In the second part, I will present results on virtual invariants of Quot schemes parameterizing rank zero quotients of trivial bundles on surfaces. The second part of the talk is based on work with Y. Kononov and work with D. Johnson, W. Lim, D. Oprea and R. Pandharipande.

Zoom: https://harvard.zoom.us/j/96709211410?pwd=SHJyUUc4NzU5Y1d0N2FKVzIwcmEzdz09