Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Highlights from "The Ramanujan Property for Simplicial Complexes"
  [arXiv:1605.02664]   This paper brings the main definitions and results from "The Ramanujan
Property for Simplicial Complexes" [arXiv:1605.02664]. No proofs are given.
  Given a simplicial complex $\mathcal{X}$ and a group $G$ acting on
$\mathcal{X}$, we define Ramanujan quotients of $\mathcal{X}$. For $G$ and
$\mathcal{X}$ suitably chosen this recovers Ramanujan $k$-regular graphs and
Ramanujan complexes in the sense of Lubotzky, Samuels and Vishne. Deep results
in automorphic representations are used to give new examples of Ramanujan
quotients when $\mathcal{X}$ is the affine building of an inner form of
$\mathbf{GL}_n$ over a local field of positive characteristic.

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The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
3
The categories of this paper are: physics
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The categories of this paper are: eess