Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Towards multiplicities for categories O of cyclotomic rational Cherednik
  algebras   Varagnolo and Vasserot conjectured an equivalence between the category O for
a cyclotomic Rational Cherednik algebra and a truncation of an affine parabolic
category O of type A. In this paper we reduce their conjecture to some purely
combinatorial conjecture. Our principal tool for the reduction is the theory of
categorical sl_2-actions on highest weight categories. Then we prove our
combinatorial conjecture in some cases.

16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph