p-adic period domains and the Fargues-Rapoport conjecture
Time: Mon, 22 Oct 2018, 15:20-16:55
Place: Lecture Hall, 3rd floor, Jin Chun Yuan West Building
Speaker: Xu Shen (Morningside center, CAS)
Abstract:
In his 1970 ICM report, Grothendieck asked the question to describe the p-adic analogues of Griffiths period domains. In this talk, we will review some constructions for these p-adic period domains, following recent developments in p-adic Hodge theory. We will then explain some ideas in a proof of the Fargues-Rapoport conjecture about the structure of certain p-adic period domains. This is joint work with Miaofen Chen and Laurent Fargues.