Euler numbers of Hilbert schemes of points on simple surface singularities

Speaker: Hiraku Nakajima

Date: 2020

Location: Zoom

Conference: Qolloquium: A One-Day Conference on Quivers, Representations, Resolutions

Subject: Mathematics

Class: Scientific

Abstract:

We prove the conjecture by Gyenge, Némethi and Szendrői in arXiv:1512.06844, arXiv:1512.06848 giving a formula of the generating function of Euler numbers of Hilbert schemes of points Hilbn(C2/Γ) on a simple singularity C2/Γ, where Γ is a finite subgroup of SL(2). This is based on my preprint arXiv:2001.03834.