Analytic Langlands correspondence for $$PGL_2$$ P G L 2 on $${\mathbb {P}}^1$$ P 1 with parabolic structures over local fields

Abstract We continue to develop the analytic Langlands program for curves over local fields initiated in our earlier papers, following a suggestion of Langlands and a work of Teschner. Namely, we study the Hecke operators which we introduced in those papers in the case of a projective line with para...

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Bibliographic Details
Main Authors: Etingof, Pavel (Author), Frenkel, Edward (Author), Kazhdan, David (Author)
Format: Article
Language:English
Published: Springer International Publishing, 2022-05-23T14:42:06Z.
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Online Access:Get fulltext
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100 1 0 |a Etingof, Pavel  |e author 
700 1 0 |a Frenkel, Edward  |e author 
700 1 0 |a Kazhdan, David  |e author 
245 0 0 |a Analytic Langlands correspondence for $$PGL_2$$ P G L 2 on $${\mathbb {P}}^1$$ P 1 with parabolic structures over local fields 
260 |b Springer International Publishing,   |c 2022-05-23T14:42:06Z. 
856 |z Get fulltext  |u https://hdl.handle.net/1721.1/142641 
520 |a Abstract We continue to develop the analytic Langlands program for curves over local fields initiated in our earlier papers, following a suggestion of Langlands and a work of Teschner. Namely, we study the Hecke operators which we introduced in those papers in the case of a projective line with parabolic structures at finitely many points for the group $$PGL_2$$ P G L 2 . We establish most of our conjectures in this case. 
546 |a en 
655 7 |a Article