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Speaker: Victor Nistor, U. Metz
Title: Analysis on singular spaces, Lie manifolds, and non-commutative geometry
Abstract: We will discuss a method to model analysis on singular spaces using Lie manifolds and desingularizations of stratified spaces. Some typical analysis problems such as the Hadamard well-posedness of geometric operators can be approached using groupoids, \(C^*\)-algebras, \(K\)-theory, and index theory. Some of the main techniques used involve representations of groupoid algebras, cyclic homology, and the geometry of manifolds with nice ends (Lie manifolds).
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