Minimal Newton Strata in Iwahori Double Cosets

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Abstract

The set of Newton strata in a given Iwahori double coset in the loop group of a reductive group G is indexed by a finite subset of the set B(G) of Frobenius-conjugacy classes. For unramified G, we show that it has a unique minimal element and determine this element. Under a regularity assumption, we also compute the dimension of the corresponding Newton stratum. We derive corresponding results for affine Deligne-Lusztig varieties.

Original languageEnglish
Pages (from-to)5349-5365
Number of pages17
JournalInternational Mathematics Research Notices
Volume2021
Issue number7
DOIs
StatePublished - 1 Apr 2021

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