Laurent Lafforgue on the creative power of categories

In the following recent talk Laurent Lafforgue gives a beautiful overview of the role of categories in Grothendieck's work and a presentation of some recent developments involving toposes:

3 thoughts on “Laurent Lafforgue on the creative power of categories

  1. Thanks, it was a great talk.
     
    i was wondering about the categorification of Galois theory, namely the equivalence between the covers of an object S and the category of G-set. In fact, i know it's possible to obtain a von Neumann algebra from an action of group. That's why i'm asking for a categorification of some operator algebras, if this makes sense.

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