Algebra/Topology Seminar by Benjamin Hennion

Algebra/Topology seminar by Benjamin Hennion (MPI Bonn)

Title: Kac--Moody algebras  and derived algebraic geometry

Abstract: Kac--Moody algebras are Lie algebras, studied for their ties to 2d-conformal field theories. In this talk, we will introduce a higher dimensional version of Kac--Moody algebras (hoping to relate them later on to higher dimensional conformal field theories). Those new Kac--Moody algebras will then be Lie algebras up to homotopy, and we will study them using tools from derived algebraic geometry and algebraic topology.