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|a Chan, Charlotte
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|a Ivanov, Alexander B.
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|a The Drinfeld stratification for $${{\,\mathrm{GL}\,}}_n$$ GL n
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|b Springer International Publishing,
|c 2021-11-01T14:33:44Z.
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|z Get fulltext
|u https://hdl.handle.net/1721.1/136844
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|a 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.
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