Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chromatic structures in stable homotopy theory   In this survey, we review how the global structure of the stable homotopy
category gives rise to the chromatic filtration. We then discuss computational
tools used in the study of local chromatic homotopy theory, leading up to
recent developments in the field. Along the way, we illustrate the key methods
and results with explicit examples.

25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org