Syntomic complexes and p-adic nearby cycles

by Prof. W. NIZIOL (CNRS & ENS de Lyon)

Wednesday May 11, 2016, 10:30 AM → 11:30 AM Europe/Paris

Centre de conférences Marilyn et James Simons (IHES)

I will present a proof of a comparison isomorphism, up to some universal constants, between truncated sheaves of p-adic nearby cycles and syntomic cohomology sheaves on semistable schemes over a mixed characteristic local rings. This generalizes the comparison results of Kato, Kurihara, and Tsuji for small Tate twists (where no constants are necessary) as well as the comparison result of Tsuji that holds over the algebraic closure of the field. This is a joint work with Pierre Colmez.