Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Blocks of symmetric groups, semicuspidal KLR algebras and zigzag
  Schur-Weyl duality   We prove Turner's conjecture, which describes the blocks of the Hecke
algebras of the symmetric groups up to derived equivalence as certain explicit
Turner double algebras. Turner doubles are Schur-algebra-like `local' objects,
which replace wreath products of Brauer tree algebras in the context of the
Brou\'e abelian defect group conjecture for blocks of symmetric groups with
non-abelian defect groups. The main tools used in the proof are generalized
Schur algebras corresponding to wreath products of zigzag algebras and
imaginary semicuspidal quotients of affine KLR algebras.

9
The categories of this paper are: nlin
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom