Closure relations of Newton strata in Iwahori double cosets

Trentin S., Viehmann E.

Research article (journal) | Peer reviewed

Abstract

We consider the Newton stratification on Iwahori double cosets for a connected reductive group. We prove the existence of Newton strata whose closures cannot be expressed as a union of strata, and show how this is implied by the existence of non-equidimensional affine Deligne–Lusztig varieties. We also give an explicit example for a group of type A4.

Details about the publication

JournalManuscripta Mathematica (Manuscripta Math.)
Volume2021
StatusPublished
Release year2021
Language in which the publication is writtenEnglish
DOI10.1007/s00229-021-01349-9
Link to the full texthttps://api.elsevier.com/content/abstract/scopus_id/85121383049
KeywordsNewton Strata; loop groups; arithmetic geometry; affine Deligne-Lusztig varieties

Authors from the University of Münster

Viehmann, Eva
Professorship for Theoretical Mathematics (Prof. Viehmann)