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summer 2018
 
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Wojciech J. Gajda

professor of mathematics

Mailing address:
Faculty of Mathematics and Computer Science
Adam Mickiewicz University
Umultowska 87, 61-614 PoznaƄ, POLAND
Office: Collegium Mathematicum, B1-35
Phone: +48 (61) 829 5503
Fax: +48 (61) 829 5315
Email: gajda AT amu DOT edu DOT pl

Research interests:

arithmetic geometry, number theory, algebraic topology, algebraic K-theory

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Piotr Achinger, Instytut Matematyczny PAN w Warszawie

01.06.2016, 12.15, B1-37

Title: Wild ramification and K(pi,1) spaces

Abstract:

A smooth variety in characteristic zero is Zariski-locally a K(pi,1) space, i.e., has trivial higher homotopy groups. The characteristic p variant of this is not known --- we do not even know whether the affine space is a K(pi,1) in positive characteristic! I will show how to reduce this question to a question related to wild ramification, which might be of independent interest, and provide partial results in this direction.