nLab analytic Langlands program

Idea

The aim of analytic version of the Langlands program is to find a theory of analytic motives that gives a full correspondence between all (not only algebraic) automorphic representations and all analytic motives.

There are many interesting automorphic representation that have nothing very clear to do with algebraic varieties (Mass forms, etc…). They should however be related to natural analytic motivic coefficients.

References

• Pavel Etingof, Edward Frenkel, David Kazhdan, A general framework for the analytic Langlands correspondence [arXiv:2311.03743]