Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Twisted loop groups and their affine flag varieties   We develop a theory of affine flag varieties and of their Schubert varieties
for reductive groups over a Laurent power series local field k((t)) with k a
perfect field. This can be viewed as a generalization of the theory of affine
flag varieties for loop groups to a "twisted case"; a consequence of our
results is that our construction also includes the flag varieties for Kac-Moody
Lie algebras of affine type. We also give a coherence conjecture on the
dimensions of the spaces of global sections of the natural ample line bundles
on the partial flag varieties attached to a fixed group over k((t)) and some
applications to local models of Shimura varieties.

18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio