Mod $\ell$ cohomology of some Deligne-Lusztig varieties for ${\mathrm{GL}}_n(q)$

Parisa Ghazizadeh

In this article, we study the mod $\ell$ cohomology of some Deligne-Lusztig varieties for ${\mathrm{GL}}_n(q)$. We prove that the cohomology groups of these varieties are torsi…