School Seminars and Colloquia

Discrete symmetries of infinite dimensional groups

Algebra/Geometry/Topology Seminar

by Lisa Carbone

Institution: Rutgers, USA
Date: Mon 5th July 2010
Time: 2:15 PM
Location: Room 213, Richard Berry Building, The University of Melbourne

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.

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