The geometry of Kac-Moody groups

Abstract: Kac-Moody groups enjoy very many nice geometric properties via their action on twin buildings, on generalized flag manifolds, and on highest-weight modules endowed with an anisotropic form.

In this talk I want to topological Kac-Moody groups by comparing their properties to semisimple Lie groups. I will introduce symmetric spaces for Kac-Moody groups, I will compute the fundamental group of topological Kac-Moody groups, and I will give evidence for Kostant convexity.

algebraic geometryalgebraic topologycomplex variablesdifferential geometrygeometric topologymetric geometryquantum algebrarepresentation theory

Audience: researchers in the topic

Sapienza A&G Seminar

Series comments: Weekly research seminar in algebra and geometry.

"Sapienza" Università di Roma, Department of Mathematics "Guido Castelnuovo".