Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-commutative crepant resolutions: scenes from categorical geometry   Non-commutative crepant resolutions are algebraic objects defined by Van den
Bergh to realize an equivalence of derived categories in birational geometry.
They are motivated by tilting theory, the McKay correspondence, and the minimal
model program, and have applications to string theory and representation
theory. In this expository article I situate Van den Bergh's definition within
these contexts and describe some of the current research in the area.

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The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int