Séminaires : Séminaire d'Algèbre

Coulomb branches are certain moduli spaces arising in supersymmetric field theory. They include as special cases many spaces of independent interest such as double affine Hecke algebras, certain open Richardson varieties, multiplicative Nakajima quiver varieties etc. In the four-dimensional case, one expects that their coordinate rings can be categorified by abelian monoidal categories carrying a cluster structure. After reviewing the mathematical construction of these Coulomb branches we will explain how these categories are constructed and why the cluster structure appears. This is joint work with Harold Williams. 

This talk will take place in hybrid mode at the Institut Henri Poincaré.