Mathematics Colloquia and Seminars
A-type Quiver Varieties and ADHM Moduli SpacesAlgebraic Geometry
|Speaker:||Peter Koroteev, UC Davis|
|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.