Fargues-Rapoport conjecture for \(p\)-adic period domains in the non-basic case

DOI10.4171/jems/1253arXiv2004.01425OpenAlexW3014973478WikidataQ113691986 ScholiaQ113691986MaRDI QIDQ6172691

Miaofen Chen

Publication date: 20 July 2023

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.01425

zbMATH Keywords

Newton stratificationFargues-Fontaine curve\(p\)-adic period domain

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Arithmetic aspects of modular and Shimura varieties (11G18)

Cites Work

• On a conjecture of Rapoport and Zink
• On period spaces for \(p\)-divisible groups
• Galois Cohomology
• Propriétés du groupe tannakien des structures de Hodge \(p\)-adiques et torseur entre cohomologies cristalline et étale. (Properties of the Tannakian group of \(p\)-adic Hodge structures and torsor between crystalline and étale cohomologies.)
• On the generic part of the cohomology of compact unitary Shimura varieties
• Construction of semi-stable \(p\)-adic representations
• On the structure of some \(p\)-adic period domains
• Fully Hodge-Newton decomposable Shimura varieties
• The Harder-Narasimhan stratification of the moduli stack of \(G\)-bundles via Drinfeld's compactifications
• Moduli of \(p\)-divisible groups
• On the Hodge–Newton Filtration for p-Divisible Groups with Additional Structures
• Towards a theory of local Shimura varieties
• Graded and filtered fiber functors on Tannakian categories
• Connected components of affine Deligne–Lusztig varieties in mixed characteristic
• Coverings of p-adic period domains
• On non-basic Rapoport-Zink spaces
• Harder–Narasimhan reduction of a principal bundle
• THE LANGLANDS LEMMA AND THE BETTI NUMBERS OF STACKS OF G-BUNDLES ON A CURVE
• Period Spaces for "p"-divisible Groups (AM-141)
• EXTENSIONS OF VECTOR BUNDLES ON THE FARGUES-FONTAINE CURVE
• G-torseurs en théorie de Hodgep-adique
• Berkeley Lectures on p-adic Geometry
• Relative p-adic Hodge theory: Foundations
• CONGRUENCE RELATIONS FOR SHIMURA VARIETIES ASSOCIATED TO SOME UNITARY GROUPS
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