Hilbert schemes of ADE singularities as quiver varieties
Alastair Craw
Abstract: The nth symmetric product of a ADE surface singularity is well known to be a Nakajima quiver variety. I will describe recent work with Gammelgaard, Gyenge and Szendroi in which the Hilbert scheme of n points on the ADE singularity is constructed as a Nakajima quiver variety. This result provided the catalyst for the description of the generating function of Euler numbers on punctual Hilbert schemes of an ADE surface singularity by Nakajima earlier this year.
algebraic geometrydifferential geometrygeometric topologysymplectic geometry
Audience: researchers in the topic
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| Organizers: | Jonny Evans*, Ailsa Keating, Yanki Lekili* |
| *contact for this listing |