Harder-Narasimhan strata and p-adic period domains

Prof. Xu Shen
2020-01-16 10:30-11:30

Speaker: Prof. Xu Shen (MCM) 

TitleHarder-Narasimhan strata and p-adic period domains

Time: 10:30-11:30am, Jan. 16, 2020

Place: MCM110

AbstractIn this talk, we will discuss the structures of certain moduli spaces of p-adic Hodge structures. More precisely, we will revisit the Harder-Narasimhan stratification on a p-adic flag variety by the theory of modifications of G-bundles on the Fargues-Fontaine curve.  This allows us to compare the Harder-Narasimhan strata with the Newton strata introduced by Caraiani-Scholze. As a consequence, we get further equivalent conditions in terms of p-adic Hodge-Tate period domains for fully Hodge-Newton decomposable pairs.