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Euler characteristics of Hilbert schemes of simple surface singularities

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Ádám Gyenge (Budapest)

What
  • SFB-Kolloquium
When Jan 07, 2016
from 02:15 pm to 03:15 pm
Where Mainz, 05-432 (Hilbertraum)
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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 generalisation of this formula to surfaces with rational double points. A certain representation of the affine Lie algebra corresponding to the surface singularity (via the McKay correspondence), and its crystal basis theory, play an important role in our approach.