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Shedule -
RéGA
Piotr Achinger "Wild ramification and K(pi,1) spaces"
IHP
Salle 314
Piotr Achinger (IHES)
Wild ramification and K(pi,1) spaces
We will prove 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.