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Laurent Lafforgue on the creative power of categories


Olivia Caramello
(@ocaramello)
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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:


[youtube


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Pietro Pellegrino
 Pietro Pellegrino
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An amazing point of view...


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Dominique Morin
 Dominique Morin
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Laurent exhibits razor blade frankness .. but he can afford it .....


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Jean-Jacques Brahim
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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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