Abstract
This mini-workshop explores the role played by infinite-dimensional Lie algebra of Kac-Moody type in supergravity and M theory. Deep conjectures about the role of affine, hyperbolic and other indefinite Kac-Moody algebras could both provide new methods and models for low-dimensional gravity systems and shed new light on the fundamental structure of gravity and unified theories. The elusive precise mathematical structure of some of the algebras can in turn be informed by physical ideas.