The Drinfeld stratification for $${{\,\mathrm{GL}\,}}_n$$ GL n
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29_2021_653_ReferencePDF.pdf
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533.84 KB
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Author(s)
Chan, Charlotte
Ivanov, Alexander B.
Date Issued
June 17, 2021
Publisher
Springer International Publishing
Citation
Selecta Mathematica. 2021 Jun 17;27(3):50
Version
Author's final manuscript
Abstract
Abstract
We define a stratification of Deligne–Lusztig varieties and their parahoric analogues which we call the Drinfeld stratification. In the setting of inner forms of
$${{\,\mathrm{GL}\,}}_n$$
GL
n
, we study the cohomology of these strata and give a complete description of the unique closed stratum. We state precise conjectures on the representation-theoretic behavior of the stratification. We expect this stratification to play a central role in the investigation of geometric constructions of representations of p-adic groups.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
https://doi.org/10.1007/s00029-021-00653-2
