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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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Realizing orbit closures via cohomology and representation theory
by
Daniel K. Nakano
University of Georgia
Coauthors: Toshiyuki Tanisaki, Jon Carlson, Zongzhu Lin, Brian Parshall

In this talk, I will show how congugacy classes for classical Lie algebras g over fields of modular characteristic are related to the cohomology and representation theory of the Lie algebra via support varieties. Friedlander and Parshall asked over 20 years ago, whether orbit closures can be realized as support varieties of G-modules where Lie G=g. I will report on joint work with Tanisaki on settling this question as well as work with Carlson, Lin and Parshall on realizing the restricted nullcone.

Date received: June 13, 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-09.