Lecture----数学院晨兴数学中心

Title:	Spreading-out of rigid-analytic families and observations on p-adic Hodge theory
Speaker:	Prof. Ofer Gabber (CNRS & IHéS)
Time:	2015-1-21, 17:00-18:10
Place:	110
Abstract:	17:00-17:10, Luc Illusie (Université Paris-Sud) Remembering the SGA's 17:10-18:10, Ofer Gabber (CNRS & IHéS) Spreading-out of rigid-analytic families and observations on p-adic Hodge theory (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 Rqg？ΩpX/Y are locally free. 本次活动是格罗滕迪克实验室成立庆典的一部分。
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