Monthly Archives: November 2013

Notes of Frédéric Bourgeois’ lecture

Derived category of sheaves 1. Generalities on categories The categories we shall encounter are Sets. Top, Diff. Abelian Groups. -modules. Sh, sheaves on . Examples of functors that we shall encounter are Forgetful functor to Sets. . . Sections of … Continue reading

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Notes of Davide Barilari’s lecture Nr 2

Heat diffusion for generic Riemannian and sub-Riemannian manifolds With Boscain, Charlot, Jendrej, Neel. 1. Motivation Understand interplay between analysis (heat) and geometry (distance, geodesics, curvature). In particular, asymptotics of when lies in the cutlocus of . 1.1. Example : the … Continue reading

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Notes of Andrei Agrachev’s lecture

Some models of constant curvature in sub-Riemannian geometry This is a reaction on Luca Rizzi’s talk last time (october 22nd). 1. GO spaces V. Berestovskii has classified a class of sub-Riemannian manifolds which I now describe. Definition 1 Say a … Continue reading

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