TRIANGLE GEOMETRY/TOPOLOGY SEMINAR

2^nd ANNOUNCEMENT

DATE:               Friday, February 6, 2004               

LOCATION:     Hempfield High School, Room 213 (directions attached)                 followed by dinner at “Gatsby's on Main” in Landisville

4:30 TALK:       Roxana Costinescu, Millersville University

               "The Ehresmann Connection Related to Orbit Stratification

               in Compact Semi-Simple Lie Algebras"

ABSTRACT: The goal of the work described in this talk is to find a natural geometric object that carries the Poisson cohomology of a Poisson manifold.  The Lie algebra of a compact semi-simple Lie algebra is a Poisson manifold, once we use the Killing form to identify it with its dual.

We give several descriptions of natural Whitney stratifications on a compact semi-simple Lie algebra and prove their equivalence.  We define and study a canonical connection, transverse and complementary to the distribution defined by the orbits of the adjoint representation.  We discuss integrability, holonomy and curvature properties for this connection.

EVERYONE WELCOME.

PLEASE FORWARD THIS ANNOUNCEMENT TO ANYONE INTERESTED.

The Triangle Geometry/Topology Seminar is sponsored jointly by Elizabethtown College, Franklin & Marshall College and Millersville University.