The Drinfeld stratification for $${{\,\mathrm{GL}\,}}_n$$
The Drinfeld stratification for $${{\,\mathrm{GL}\,}}_n$$
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$${{,mathrm{GL},}}_n$$ 的 Drinfeld 分层
DOI：
10.1007/s00029-021-00653-2
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发表时间：
2021
期刊：
影响因子：
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通讯作者：
Ivanov, Alexander B.
中科院分区：
文献类型：
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作者：
Chan, Charlotte;Ivanov, Alexander B.
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, 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 ofp-adic groups.
