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Variétés rationnelles

Horaires : Le vendredi 31 mars 2017, 15h-16h

Lieu : ENS, salle W

Wild ramification and K(pi,1) spaces

Piotr Achinger (IHES)

I will sketch the proof that every connected affine scheme in positive characteristic is a K(pi,1) space for the etale topology. The key technical ingredient is a ??Bertini-type? statement regarding the wild ramification of l-adic local systems on affine spaces. Its proof uses in an essential way recent advances in higher ramification theory due to T. Saito.

 

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