Representations of Lie algebras of vector fields on algebraic varieties

• Grant number: 19/23251-5
• Support Opportunities: Regular Research Grants
• Start date: March 01, 2020
• End date: February 28, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Agreement: Carleton University
• Mobility Program: SPRINT - Projetos de pesquisa - Mobilidade
• Principal Investigator: Vyacheslav Futorny
• Grantee: Vyacheslav Futorny
• Principal researcher abroad: Colin James Ingalls
• Institution abroad: Carleton University, Canada
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated 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)