Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cohomologie de de Rham du rev\^etement mod\'er\'e de l'espace de
  Drinfeld   In this article, we study the De Rham cohomology of the first cover in the
Drinfel'd tower. In particular, we get a purely local proof that the
supercuspidal part realizes the local Jacquet-Langlands correspondence for
${\rm GL}_n$ by comparing it to the rigid cohomology of some Deligne-Lusztig
varieties. The representations obtained are analogous to the ones appearing in
the $\ell$-adic cohomology if we forget the action of the Weil group. The proof
relies on the generalization of an excision result of Grosse-Kl\"onne and on
the explicit description of the first cover as a cyclic cover obtained by the
author on a previous work.

29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom