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

17:10至18:10

(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.