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Paper detail

Analytic Langlands correspondence for PGL(2) on P^1 with parabolic structures over local fields

We continue to develop the analytic Langlands program for curves over local fields initiated in arXiv:1908.09677, arXiv:2103.01509 following a suggestion of Langlands and a work of Teschner. Namely, we study the Hecke operators introduced in arXiv:2103.01509 in the case of P^1 over a local field with parabolic structures at finitely many points for the group PGL(2). We establish most of the conjectures of arXiv:1908.09677, arXiv:2103.01509 in this case.

preprint2022arXivOpen access
Pavel EtingofEdward FrenkelDavid Kazhdan
math.RTmath.FAmath.AGhep-thmath.NT
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Pavel EtingofEdward FrenkelDavid Kazhdan

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