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Representations of Lie algebras of vector fields on algebraic varieties

Grant number: 19/23251-5
Support type:Regular Research Grants
Duration: March 01, 2020 - February 28, 2021
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Algebra
Cooperation agreement: Carleton University
Mobility Program: SPRINT - Projetos de pesquisa - Mobilidade
Principal researcher:Vyacheslav Futorny
Grantee:Vyacheslav Futorny
Principal researcher abroad: Colin James Ingalls
Institution abroad: Carleton University, Canada
Home Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Assoc. researchers:Iryna Kashuba ; Yuly Billig
Associated research grant:18/23690-6 - Structures, representations, and applications of algebraic systems, AP.TEM

Abstract

This is a cooperation project between USP and Carleton University in Lie theory and Representation Theory. The goal of the project is to develop the representation theory of the Lie algebra of polynomial vector fields on smooth affine algebraic manifolds. The methods will combine Lie theory and algebraic geometry. (AU)