Analytic Langlands correspondence for PGL2 on P1 with parabolic structures over local fields

Pavel Etingof; Edward Frenkel; David Kazhdan

doi:10.1007/s00039-022-00603-w

Analytic Langlands correspondence for PGL₂ on P¹ with parabolic structures over local fields

Pavel Etingof^*
, Edward Frenkel
, David Kazhdan

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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 PGL₂. We establish most of our conjectures in this case.

Original language	English
Pages (from-to)	725-831
Number of pages	107
Journal	Geometric and Functional Analysis
Volume	32
Issue number	4
DOIs	https://doi.org/10.1007/s00039-022-00603-w
State	Published - Aug 2022

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© 2022, The Author(s).

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Analytic Langlands correspondence for PGL₂ on P¹ with parabolic structures over local fields

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