Locally analytic representations in the étale coverings of the Lubin-Tate moduli space

DOI10.1007/s11856-020-2059-zzbMath1469.11456arXiv1711.06858OpenAlexW3081923399MaRDI QIDQ2204408

Mihir Sheth

Publication date: 15 October 2020

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.06858

zbMATH Keywords

Gross-Hopkins period mapDrinfeld level-\(m\)-structuresLubin-Tate moduli space

Mathematics Subject Classification ID

Rigid analytic geometry (14G22) Class field theory; (p)-adic formal groups (11S31)

Cites Work

• Lubin-Tate and Drinfeld bundles
• Invariant distributions on \(p\)-adic analytic groups
• The isomorphism between Lubin-Tate and Drinfeld towers
• Equivariant vector bundles on Drinfeld's upper half space
• Geometrically connected components of Lubin-Tate deformation spaces with level structures
• Irreducible components of rigid spaces
• Algebras of \(p\)-adic distributions and admissible representations
• Crystalline Dieudonné module theory via formal and rigid geometry
• Moduli of \(p\)-divisible groups
• Deformation spaces of one-dimensional formal modules and their cohomology
• 𝑈(𝔤)-finite locally analytic representations
• Locally analytic distributions and 𝑝-adic representation theory, with applications to 𝐺𝐿₂
• p-Adic Lie Groups
• ELLIPTIC MODULES
• LOCALLY ANALYTIC REPRESENTATIONS OF VIA SEMISTABLE MODELS OF
• Iwasawa Modules Arising from Deformation Spaces of p-Divisible Formal Group Laws
• On the Iwasawa theory of the Lubin–Tate moduli space
• Locally analytic vectors in representations of locally 𝑝-adic analytic groups
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