Lecture----数学院晨兴数学中心

Title:	Crystalline comparison isomorphisms in p-adic Hodge theory
Speaker:	谭福成 (上海交通大学 & 上海数学中心)
Time:	2015-8-24, 10:00-12:00
Place:	N817
Abstract:	In these talks, I will give a brief construction of the crystalline comparison isomorphisms for proper smooth formal schemes, and explain certain key techiniques. Such isomorphisms hold for coefficients and in the relative setting, i.e. for p-adic etale cohomology with coefficients in Z_p-local systems, and for proper smooth morphisms of smooth formal schemes. The proof is formulated in terms of the pro-etale site defined by Scholze, and uses his primitive comparison theorem for structure sheaf on the pro-etale site. Another ingredient for the proof is the Poincare lemma for crystalline period sheaves, for which we adapt the idea of Andreatta and Iovita. This is part of a joint project with Jilong Tong.
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