Euler calculus of constructible functions and applications

Abstract: In this elementary talk, we will recall the classical notions of subanalytic sets, constructible sheaves and constructible functions on a real analytic manifold and explain how to treat such objects “up to infinity’”.

Next, we will describe the Euler calculus of constructible functions, in which integration is purely topological, with applications to tomography. Finally we will show how the gamma-topology on a vector space allows one to embed the space of constructible functions in that of distributions.

mathematical physicsalgebraic geometryalgebraic topologydifferential geometryrepresentation theorysymplectic geometry

Audience: researchers in the topic

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Geometry and Physics @ Lisbon