Any flat bundle on a punctured disc has an oper structure

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Any Flat Bundle on a Punctured Disc Has an Oper Structure

We prove that any flat G-bundle, where G is a complex connected reductive algebraic group, on the punctured disc admits the structure of an oper. This result is important in the local geometric Langlands correspondence proposed in [7]. Our proof uses certain deformations of the affine Springer fibers which could be of independent interest. As a byproduct, we construct representations of affine ...

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ژورنال

عنوان ژورنال: Mathematical Research Letters

سال: 2010

ISSN: 1073-2780,1945-001X

DOI: 10.4310/mrl.2010.v17.n1.a3