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College of Science and Mathematics |
Department of Mathematics
Mathematics Seminar Series - Fall 2006
Monday,
October 2, 2006
2:30pm, Science 2-064 Donald R. KingNortheastern UniversitySpherical Nilpotent Orbits: An Overview
Abstract:
This talk will discuss some aspects of spherical nilpotent orbits in
complex symmetric space that are related to the representation theory
of the associated semisimple Lie group. We focus on the geometry of the
closures of such orbits and the decomposition of the coordinate ring of
such an orbit under the action of a related compact group. The closure of
a "small" orbit is normal and there is good information about
the decomposition of its coordinate ring. No prior knowledge of nilpotent
orbits is assumed.
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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