Balazs Szendroi, St Peter's College and University of Oxford
Title: Euler characteristics of Hilbert schemes of points of some singular surfaces
Abstract: 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)
