Mathematics Colloquia and Seminars

Return to Colloquia & Seminar listing

A-type Quiver Varieties and ADHM Moduli Spaces

Algebraic Geometry

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.