Index theory for singular manifolds, a geometric approach

Paulo Carrillo Rouse

*(Institut de Mathématiques de Toulouse)*

10:00-11:00, May 20, 2019 Science Building A510

__Abstract:__

In this introductory lecture I will present the basic geometric tools (Lie groupoids, Lie algebbroids, K-theory and Cohomology of such objects) and some techniques that allow to use them to do geometric analysis and in particular index theory (e.g.Fredholm boundary conditions, Index computations, topological formulas) on singular manifolds. Many examples will be given and the "toy model" (I will explain this) of manifolds with corners will be developed further in the next specialized talk.

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