Première conférence : Introduction to Coulomb branches of 3d N=4 SUSY gauge theories
Abstract : Physicists assign a 3d N=4 SUSY gauge theory to a pair of a complex reductive group and its symplectic representation. Then they further assign the Coulomb branch, which is a hyperKaehler manifold possibly with singularities. I will explain a recent mathematical approarch to its rigorous definition based on a homology group of a certain infinite dimensional variety.
21 et 23 août 2019 - 10h45 à 11h45
Pavillon André-Aisenstadt, salle 5340
Deuxième et troisième conférences : Bow varieties
Abstract : Bow varieties are originally introduced by Cherkis as ADHM type description of moduli spaces of U(N) instantons on multi-Taub-NUT spaces. They are isomorphic to Coulomb branches of quiver gauge theoriities of affine type A, and can be used to realize integrable highest weight representations of the corresponding affine Lie algebra, as an example of geometric Satake for Kac-Moody Lie algebras. I will explain definitions, properties, results on bow varieties.