Analytic Langlands correspondence for $$PGL_2$$ P G L 2 on $${\mathbb {P}}^1$$ P 1 with parabolic structures over local fields
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39_2022_Article_603.pdf
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Author(s)
Etingof, Pavel
Frenkel, Edward
Kazhdan, David
Date Issued
May 18, 2022
Publisher
Springer International Publishing
Citation
Etingof, Pavel, Frenkel, Edward and Kazhdan, David. 2022. "Analytic Langlands correspondence for $$PGL_2$$ P G L 2 on $${\mathbb {P}}^1$$ P 1 with parabolic structures over local fields."
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
https://doi.org/10.1007/s00039-022-00603-w
