澳门太阳集团(9728·VIP网城)网站入口-欢迎您

学术科研

Algebra & Combinatorics Seminar

On arithmetic Breuil-Kisin-Fargues modules and their moduli

演讲者：Du Heng（普渡大学）
时间：2020-12-03 09:30-10:30
地点：Zoom ID：936 2724 3432 ; Passcode: 594130

Abstract

Modifications of vector bundles over the Fargues-Fontaine curve play a central role in recent developments in p-adic Hodge theory. Let K be a p-adic field and let C_p be the completed algebraic closure of K. In this talk, we will first review how Fargues use the Fargues-Fontaine curve to define the category of p-adic Hodge structures over C_p, then I will talk about how does the category of classical p-adic Hodge structures over K is embedded into this category. Moreover, I will talk about how to characterize this embedding using Breuil-Kisin-Fargues modules. We will also present how to relate this with the result of Emerton-Gee on moduli of (phi, Gamma)-modules.