论文标题
$ {\ rm gl} _n $的Drinfeld分层
The Drinfeld stratification for ${\rm GL}_n$
论文作者
论文摘要
我们定义了Deligne-lusztig品种及其旁观类似物的分层，我们称之为德林菲尔德分层。在GLN的内部形式的环境中，我们研究了这些层的同谋，并完整地描述了独特的封闭层。我们陈述了对分层的表示理论行为的精确猜想。我们希望这种分层在调查$ p $ - 亚种群体表示形式的几何结构中起着核心作用。
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 GLn, 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.
