On modulo $\ell$ cohomology of $p$-adic Deligne-Lusztig varieties for
$GL_n$
On modulo $\ell$ cohomology of $p$-adic Deligne-Lusztig varieties for
$GL_n$
In 1976, Deligne and Lusztig realized the representation theory of finite groups of Lie type inside \'etale cohomology of certain algebraic varieties. Recently, a $p$-adic version of this theory started to emerge: there are $p$-adic Deligne-Lusztig spaces, whose cohomology encodes representation theoretic information for $p$-adic groups - for instance, it …