NDLI: Springer theory via the Hitchin fibration

Content Provider	Scilit
Author	Nadler, David
Copyright Year	2011
Description	Journal: Compositio Mathematica We develop the Springer theory of Weyl group representations in 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.
Ending Page	1670
Starting Page	1635
ISSN	00221295
e-ISSN	15705846
DOI	10.1112/s0010437x1100546x
Journal	Compositio Mathematica
Issue Number	5
Volume Number	147
Language	English
Publisher	Wiley-Blackwell
Publisher Date	2011-09-01
Access Restriction	Open
Subject Keyword	Journal: Compositio Mathematica Particles and Fields Physics
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory

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Springer theory via the Hitchin fibration