Analytic Langlands correspondence for PGL(2) on P^1 with parabolic structures over local fields
Algebraic Geometry
2022-05-17 v2 High Energy Physics - Theory
Functional Analysis
Number Theory
Representation Theory
Abstract
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.
Keywords
Cite
@article{arxiv.2106.05243,
title = {Analytic Langlands correspondence for PGL(2) on P^1 with parabolic structures over local fields},
author = {Pavel Etingof and Edward Frenkel and David Kazhdan},
journal= {arXiv preprint arXiv:2106.05243},
year = {2022}
}
Comments
86 pages, latex