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Mathematical Colluqium: Toroidal algebras, W- algebras and geometry

Boris L. Feign
Institution: 
Department of Mathematics of Higher School of Economics, Moscow, Russia
Location: 
A-005
Schedule: 
Tuesday, November 15, 2016 - 16:00
Abstract: 

In this talk I will explain the definition of shuffle algebras. Construction of shuffle algebras is simple and general. As a special cases we get affine quantum groups, Sklyanin algebras, toroidal algebras and, in the limit, vertex operator algebras. Sometimes in the limit we have familiar conformal theories related with W-algebras. I will present several examples and applications. Most popular applications are based on the fact that toroidal-like algebras are acting in the K-theory of modular spaces by Nakajima-type correspondence.

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