Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On non-abelian Lubin-Tate theory and analytic cohomology   We prove that the p-adic local Langlands correspondence for GL_2(Q_p) appears
in the etale cohomology of the Lubin-Tate tower at infinity. We use global
methods using recent results of Emerton on the local-global compatibility and
hence our proof applies to local Galois representations which come via a
restriction from global pro-modular Galois representations. We also discuss a
folklore conjecture which states that the p-adic local Langlands correspondence
appears in the de Rham cohomology of the Lubin-Tate tower (Drinfeld tower). We
show that a study of the de Rham cohomology for perfectoid spaces reduces to a
study of the analytic cohomology and we state a natural conjecture related to
it.

35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas