Representations of Lie algebras of vector fields on affine algebraic varieties

Date
2018/10/05 Fri 16:30 - 18:00
Room
RIMS402号室
Speaker
Yuri Billig
Affiliation
Carleton
Abstract

Very little has been known about representation theory of Lie
algebras of polynomial vector fields on affine algebraic varieties beyond
the cases of affine space and a torus. We study a category of
representations of the Lie algebras of vector fields on a smooth algebraic
variety X that admit a compatible action of the algebra of polynomial
functions on X. We construct simple modules in this category and state a
conjecture on the general structure of such modules.
This is a joint work with Slava Futorny and Jonathan Nilsson.