Speaker: Alex Weekes (University of British Columbia)
Speaker's URL: https://sites.google.com/view/alex-weekes/
Abstract: In this talk we'll discuss relations between two families of algebras coming from mathematical physics: shifted Yangians on the hand, and Coulomb branches of quiver gauge theories on the other. Coulomb branches are a newcomer mathematically speaking, only recently given a mathematical definition by Braverman, Finkelberg and Nakajima. Meanwhile Yangians have been studied since the 1980's beginning in the study of integrable systems, and shifted Yangians are a variant inspired by the work of Brundan and Kleshchev on finite W-algebras. We'll discuss recent results relating these two families of algebras, and in particular how Coulomb branches of finite ADE type arise as quotients of shifted Yangians, by ideals with representation-theoretic significance.
