Title: Discrete symmetries of infinite dimensional groups
Speaker: Lisa Carbone (Rutgers)
Abstract: Kac-Moody groups are natural generalizations to infinite dimensions of finite dimensional simple Lie groups. These infinite dimensional groups appear in the study of algebraic symmetries of general relativity and a theory known as supergravity, which incorporates both general relativity and supersymmetry. The discrete symmetries, namely forms of these groups over the integers, play a particularly important role. We discuss the problem of constructing these groups and characterizing their symmetries.