Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A colimit presentation of $\mathcal{D}(G(K))$ via the Bott-Samelson
  hypercover   Let $G$ be a semisimple, simply connected algebraic group over an
algebraically closed field of characteristic zero. We prove that the
$\infty$-category of D-modules on the loop group of $G$ is equivalent to the
monoidal colimit of the $\infty$-categories of D-modules on the standard
parahoric subgroups. This also follows from arXiv:2009.10998, but the present
paper gives a simpler proof. The idea is to develop a combinatorial model for
the path space of a simplicial complex, in which 'paths' are sequences of
adjacent simplices, and to use a generalized version of hyperdescent for
D-modules. We also give two more applications of this hyperdescent theorem:
triviality of D-modules on the 'schematic Bruhat-Tits building,' which was
first established by Varshavsky using a different method, and triviality of
D-modules on the `simplicial affine Springer resolution.'

37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph