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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Matthew Morrow(波恩大学)

 Motivic cohomology of formal schemes in characteristic p

  03.29(星期二),16:30--17:30

  点:晨兴数学中心110

Abstract:

The logarithmic Hodge-Witt sheaves of Illusie, Milne, Kato, et al. of a smooth variety in characteristic p provide a concrete realisation of its p-adic motivic cohomology, thanks to results of Geisser-Levine and Bloch-Kato-Gabber which link them to algebraic K-theory. I will explain an analogous theory for formal schemes, as well as applications to algebraic cycles, such as a weak Lefschetz theorem for formal Chow groups.

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