学术报告：Syntomic complexes and p-adic nearby cycles

中科院数学与系统科学研究院

数学研究所

学术报告会

报告人：  Wiesława Nizioł (法国CNRS、Lyon高师)

题  目：Syntomic complexes and p-adic nearby cycles

时  间：2016.05.11（星期三），16:30--17:30

地  点：晨兴数学中心110室

Abstract:

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 joint work with Pierre Colmez.