广强，

请在晨兴主页上张贴 谭福成报告： 时间为8月24号，10h－12h

(需要先预定教室，首选为南楼。)

报告人: 谭福成 （上海交通大学 & 上海数学中心）

Title : Crystalline comparison isomorphisms in p-adic Hodge theory I, II

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.

祝好，

永泉