Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Springer theory via the Hitchin fibration   In this paper, we translate the Springer theory of Weyl group representations
into the language of symplectic topology. Given a semisimple complex group G,
we describe a Lagrangian brane in the cotangent bundle of the adjoint quotient
g/G that produces the perverse sheaves of Springer theory. The main technical
tool is an analysis of the Fourier transform for constructible sheaves from the
perspective of the Fukaya category. Our results can be viewed as a toy model of
the quantization of Hitchin fibers in the Geometric Langlands program.

20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat