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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Akio Tamagawa (玉川安騎男 京都大学数理解析研究所)

 Semisimplicity of geometric monodromy on étale cohomology (joint work with Anna Cadoret and Chun Yin Hui)

  2016.04.13(星期三),16:30--17:30

  点:晨兴数学中心110

Abstract:

Let K be a function field over an algebraically closed field of characteritic p \geq 0, X a proper smooth K-scheme, and l a prime distinct from p. Deligne proved that the Q_l-coefficient étale cohomology groups of the geometric fiber of X--> K are always semisimple as G_K-modules. In this talk, we consider a similar problem for the F_l-coefficient étale cohomology groups. Among other things, we show that if p=0 (resp. in general), they are semisimple for all but finitely many l's (resp. for all l's in a set of density 1).

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