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## Quantum Field Theory and Representation Theory

### Peter Woit

Columbia University

###
Tuesday, June 3, 2004

102 Bradley Hall, 4 pm

Tea 3:30 pm, Math Lounge

**Abstract: **
The subjects of quantum mechanics and representation theory are quite
closely related and their histories are significantly
intertwined. I'll review some of this history and explain some of the
relations between these two subjects. The representation theory of
certain infinite dimensional groups, "loop groups", turns out to
have important relations to interesting quantum field theories. I'll
explain how very recent results of Freed-Hopkins-Teleman suggest an
approach to this subject using twisted K-theory.

This talk will be accessible to general faculty.