Title:	Hyperbolic Kac-Moody symmetry, actions on buildings and applications
Speaker:	Lisa Carbone (Rutgers University)
Abstract:	Hyperbolic Kac-Moody groups and algebras play a fundamental role in high-energy theoretical physics, particularly in the proposed unification of superstring theories, yet our knowledge of their internal structure is sketchy and fragmented. Locally compact forms of Kac-Moody groups admit actions on Tits buildings and may be studied in analogy with Lie groups. We discuss the action of hyperbolic Kac-Moody groups on their Tits buildings as a tool to understanding the structure of these groups and their applications.