K-theoretic sheaf counting invariants on C^4

Date: 2021-10-26

Time: 13:15 - 14:15

Zoom link: https://kva-se.zoom.us/j/9217561880


Jørgen Vold Rennemo


Oh and Thomas have recently defined a K-theoretic sheaf counting invariant for moduli spaces of sheaves on a Calabi-Yau 4-fold. One of the simplest examples of such a moduli scheme is the Hilbert scheme of n points on C^4. The topic of this talk is a proof of a formula for the generating functions of invariants of these Hilbert schemes, confirming a conjecture of Nekrasov (as well a generalisation to Quot schemes of C^4, conjectured by Nekrasov and Piazzalunga).

This is joint work with Martijn Kool.