Hiraku Nakajima: Towards a mathematical definition of Coulomb branches of gauge theories
Time: Thu 2015-03-19 15.30 - 16.30
Location: Institut Mittag-Leffler, Auravägen 17, Djursholm
Participating: Hiraku Nakajima, Kyoto University
Suppose a pair of a compact Lie group G and its quaternionic representation M is given. Physicists associate a hyper-Kaehler manifold, called the Coulomb branch, to (G,M). I will explain my proposal for a mathematically rigorous definition of its coordinate ring, based on the affine Grassmannian of G. This is a joint work with A. Braverman and M. Finkelberg.