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A-type Quiver Varieties and ADHM Moduli Spaces
Algebraic Geometry and Number Theory| Speaker: | Peter Koroteev, UC Davis |
| Location: | 2112 MSB |
| Start time: | Thu, May 17 2018, 1:10PM |
I shall describe a correspondence between quantum geometry of Nakajima quiver varieties of two types — framed A-type quivers and ADHM quivers. While these spaces look completely different we find a surprising connection between equivariant K-theories thereof with a nontrivial match between their equivariant parameters. I shall demonstrate that quantum equivariant K-theory of A_n quivers in a certain large-n limit reproduces equivariant K-theory of the Hilbert scheme of points on a plane.