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 l...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer International Publishing
2022
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| Online Access: | https://hdl.handle.net/1721.1/142641 |
| Summary: | 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. |
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