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 视频时间:2015年1月21日(周三)17:00至18:10

 视频地点:晨兴110

 

17:00至17:10

发言人:Luc Illusie (Université Paris-Sud)

题目:Remembering the SGA's

 

17:10至18:10

报告人:Ofer Gabber (CNRS & IHÉS)

题目:Spreading-out of rigid-analytic families and observations on p-adic Hodge theory

摘要:

(Joint work with Brian Conrad.) Let K be a complete rank 1 valued field with ring of integers OK, A an adic noetherian ring and f : A → OK an adic morphism. If g : X → Y is a proper flat morphism between rigid analytic spaces over K then locally on Y a flat formal model of g spreads out to a proper flat morphism between formal schemes topologically of finite type over A. As an application one can prove that for proper smooth g and K of characteristic 0, the Hodge to de Rham spectral sequence for g degenerates and the Rq g* ΩpX/Y are locally free.

 

 

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