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Abstract des Vortrages von Balasz Szendroi

Euler characteristics of Hilbert schemes of points of ADE surfaces

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 generalisation of this formula to surfaces with rational double points, built from the representation theory of affine Lie algebras. (Joint work with Adam Gyenge, Budapest)