THEMATIC PROGRAMS

March 28, 2024

Infinite Dimensional Lie Theory and its Applications
September 2000 to January 2001


Scientific Organizing Committee

S. Berman, University of Saskatchewan
Y. Billig, University of New Brunswick
V. Ginsburg, University of Chicago
V. Kac, Massachusetts Institute of Technology
B. Khesin, University of Toronto
O. Mathieu, CNRS Lyon-1
A. Pianzola, University of Alberta

Overview

Various infinite-dimensional Lie algebras and Lie groups, including groups of diffeomorphisms and algebras of vector fields, the affine Kac-Moody algebras and groups, Borcherds Lie algebras, algebras of pseudodifferential operators and various generalizations of these, have beautiful connections with other areas of mathematics and physics such as quantum field theory, fluid mechanics, singularity theory, modular forms, the Monster group, and soliton theory, to name just a few. All these topics, as well as other related aspects and applications of Lie theory, are the subject of this program.

Workshops

Coxeter Lecture Series 2000
December 5 - 7, 2000
Graeme Segal: "The Idea of Space in String Theory"