Penn State Mark
Department of Mathematics
Topology/Geometry Seminar
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Thursday, January 20, 2005
5:30-7:00pm, 105C Smith (Altoona)

Aissa Wade
Penn State University

Stability of singular points of Poisson manifolds

Abstract: Roughly speaking, an order k singular point for a smooth Poisson structure is stable if all nearby Poisson structures have nearby singular points of order k. In this talk, we will give sufficient conditions for stability lying on the k-jet of the given Poisson structure at a singular point of order k. We will present several examples of stable singular points for Poisson structures.

 

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