Euler characteristics of Hilbert schemes of points of simple surface singularities

Event details
Date | 05.04.2016 |
Hour | 15:15 › 17:00 |
Speaker | Balázs Szendrői (Oxford) |
Location | |
Category | Conferences - Seminars |
Given a smooth surface, the generating series of Euler characteristics of its Hilbert schemes of points can be given in closed form by (a specialisation of) Goettsche's formula. I will discuss a, partially conjectural, generalisation of this formula to surfaces with rational double points, built from the representation theory of affine Lie algebras. One consequence is "S-duality", the modularity of the generating function. (Joint work with Adam Gyenge and Andras Nemethi, Budapest)
Practical information
- General public
- Free