Ruprecht-Karls-Universität Heidelberg
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„Wild ramification and K(pi, 1) spaces“
Dr. Piotr Achinger, IHES - Université Paris-Saclay

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. I will also discuss some "anabelian" and "irregular" ramifications of the result.

Freitag, den 23. Juni 2017 um 13:30 Uhr, in INF205, SR A Freitag, den 23. Juni 2017 at 13:30, in INF205, SR A

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Professor Dr. Alexander Schmidt