Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Prof. Xu Shen，MCM
Harder-Narasimhan strata and p-adic period domains
Time & Venue:
2020.01.16 10:30-11:30 MCM110
In 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.
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