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Geometric Langlands correspondence near opers

Abstract:

Let G be a complex, connected semi-simple Lie group, L G its Langlands dual group, BunG the moduli stack of G-bundles on a smooth projective curve Sigma over C, LocLG the moduli stack of flat L G-bundles on Sigma. Beilinson and Drinfeld have constructed an equivalence between the category of coherent sheaves on Loc(LG) supported scheme-theoretically at the locus of opers and the category of D-modles on BunG admitting a certain global presentation. We generaliz...

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Publication status:
Published
Peer review status:
Peer reviewed

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
All Souls College
Role:
Author
Publisher:
Ramanujan Mathematical Society
Journal:
Journal of the Ramanujan Mathematical Society More from this journal
Volume:
28A
Issue:
S
Pages:
123-147
Publication date:
2013-07-31
ISSN:
2320-3110
Keywords:
Pubs id:
pubs:710862
UUID:
uuid:8cd637cc-ca61-480a-adb0-cff1062b03d0
Local pid:
pubs:710862
Source identifiers:
710862
Deposit date:
2017-08-06

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