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A topos is a category that behaves very much like the category of sets and possesses a good notion of localization. Related to topos are: sheaves, presheaves, descent, stacks, localization,...
6
votes
Interview of Connes, Caramello, and L. Lafforgue about topos theory
For interested people, I put here Google translation of transcription and here Transcription in french.
Denise Vella-Chemla