Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Garland's method with Banach coefficients   We prove a Banach version of Garland's method of proving vanishing of
cohomology for groups acting on simplicial complexes. The novelty of this new
version is that our new condition applies to every reflexive Banach space. This
new version of Garland's method allows us to deduce several criteria for
vanishing of group cohomology with coefficients in several classes of Banach
spaces (uniformly curved spaces, Hilbertian spaces and $L^p$ spaces). Using
these new criteria, we improve recent results regarding Banach fixed point
theorems for random groups in the triangular model and give a sharp lower bound
for the conformal dimension of the boundary of such groups. Also, we derive new
criteria for group stability with respect to p-Schatten norms.

16
The categories of this paper are: stat
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat