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Geometric Langlands correspondence for $\text{SL}(2)$, $\text{PGL}(2)$ over the pair of pants

Part of: Lie groups Families, fibrations

Published online by Cambridge University Press:  07 February 2019

David Nadler  and
Zhiwei Yun
David Nadler
Affiliation:
Department of Mathematics, UC Berkeley, Evans Hall, Berkeley, CA 94720, USA email nadler@math.berkeley.edu
Zhiwei Yun
Affiliation:
Department of Mathematics, MIT, 77 Massachusetts Ave., Cambridge, MA 02139, USA email zyun@mit.edu
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Abstract

We establish the geometric Langlands correspondence for rank-one groups over the projective line with three points of tame ramification.

Keywords

geometric Langlands correspondence

MSC classification

Primary: 14D24: Geometric Langlands program 22E57: Geometric Langlands program
Type
Research Article
Information
Compositio Mathematica , Volume 155 , Issue 2 , February 2019 , pp. 324 - 371
Copyright
© The Authors 2019 

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Footnotes

DN is grateful for the support of NSF grant DMS-1502178. ZY is grateful for the support of NSF grant DMS-1302071 and the Packard Foundation.

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