Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Jordan-Hoelder series for nearby cycles on some Shimura varieties
  and affine flag varieties   We study the Jordan-Hoelder series for nearby cycles on certain Shimura
varieties and Rapoport-Zink local models, and on finite-dimensional pieces of
Beilinson's deformation of the affine Grassmannian to the affine flag variety
(and their p-adic analogues). We give a formula for the multiplicities of
irreducible constituents in terms of certain cohomology groups, and we also
provide an algorithm to compute multiplicities, in terms of the affine Hecke
algebra.

16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int