College of Science and Mathematics
Department of Mathematics
Mathematics Seminar Series - Fall 2004
Monday,
September 27, 2004
2:30 pm Science 2-065
2:30 pm Science 2-065
Steven Jackson
University of Massachusetts BostonPrehomogeneous spaces associated with complex nilpotent orbits
Abstract:
In 1977, Sato and Kimura classified the irreducible
prehomogeneous spaces and computed their relative invariants,
and in 1991, Gyoja gave an alternative construction of relative
invariants in certain special cases. In this talk, we extend their
work by computing the module structure and relative invariants of
certain reducible prehomogeneous spaces which arise naturally in
the theory of nilpotent orbits. This is joint work with Alfred
Noël.
The presentations cover a large variety of topics and are intended for a general math audience. The seminar is organized by Prof. Alfred Noël and we usually meet Monday afternoons, from 2:30 pm to 4:00 pm.
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