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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 Poznań, 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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Christopher Lazda, Università Degli Studi di Padova

17.05.2017, 12.00, B1-37

Title: l-independence for smooth and proper varieties over equicharacteristic local fields

Abstract:

If X is a variety over an equicharacteristic local field F, and l is a prime different from the residue characteristic p, then one can use the l-adic local monodromy theorem and the theory of Weil-Deligne representations to make precise the conjecture that the l-adic etale cohomology groups are independent of l. I will explain how to extend this conjecture to include the case l=p, and then show how to prove (a weak form of it) it when X is smooth and proper over F, via a 'spreading out' argument. I will also discuss similar questions for the unipotent fundamental group. This is joint work with Bruno Chiarellotto.