Newton strata in the loop group of a reductive group

DOI10.1353/ajm.2013.0017zbMath1278.14062arXiv1005.5725OpenAlexW2073141385MaRDI QIDQ4917539

Eva Viehmann

Publication date: 30 April 2013

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

Full work available at URL: https://arxiv.org/abs/1005.5725

zbMATH Keywords

\(p\)-divisible grouppuritylocal shtukaNewton pointloop group of a reductive group

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Loops, quasigroups (20N05) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Formal groups, (p)-divisible groups (14L05) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (10)

Irreducible components of minuscule affine Deligne-Lusztig varieties ⋮ Harder-Narasimhan strata and 𝑝-adic period domains ⋮ Unnamed Item ⋮ The almost product structure of Newton strata in the deformation space of a Barsotti-Tate group with crystalline Tate tensors ⋮ Compactification of level maps of moduli spaces of Drinfeld shtukas ⋮ Closure relations of Newton strata in Iwahori double cosets ⋮ The geometry of Newton strata in the reduction modulo \(p\) of Shimura varieties of PEL type ⋮ Generic Newton points and the Newton poset in Iwahori-double cosets ⋮ Truncations of level 1 of elements in the loop group of a reductive group. ⋮ Partial orders on conjugacy classes in the Weyl group and on unipotent conjugacy classes

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