Speaker
Mikhail Bershtein
(Landau Institute, Moscow)
Description
I will talk about new example of W algebras depending on three integer numbers n,m,k. Category of representations of such algebras is equivalent (similar to Drinfeld–Kohno or Kazhdan–Lusztig theorem) to the category of representations of product of three quantum groups gl_{n|k}, gl_{k|m} and gl_{m|n}. Irreducible representations of these W algebras have a basis labeled by plane partition with asymptotic conditions along three coordinate axes. Based on joint work with B. Feigin and G. Merzon [arXiv:1512.08779] and work in progress.
