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Workshop and Conference on Infinite Dimensional Lie Theory and Its Applications
July 17-25, 2003
The Fields Institute
Toronto, ON, Canada

Organizers
B. Allison (Alberta), S. Berman (Saskatoon), Y. Billig (Carleton), Y. Gao (York), E. Neher (Ottawa), A. Pianzola (Alberta)

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Quantum toroidal algebras and vector bundles on curves
by
Olivier Schiffmann
ENS Paris

Let X be a smooth projective curve and G a group of automorphism of X such that the quotient X/G is the projective line. We relate the moduli space of G-equivariant vector bundles (or coherent sheaves) on X to certain loop algebras of Kac-Moody algebras. In particular, when X is an elliptic curve, this gives us a construction of some canonical basis for (quantized) toroidal algebras.

Date received: June 8, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cals-02.