In this talk I will discuss a crucial role played by the
Separation of Variable method in the context of the Analytic
Langlands program. Indeed, the SoV transform between sl_2 WZW
model and Liovuille CFT provides a "quantum" generalization of
the Analytic Langlands correspondence. I will explain how this
relation makes Langlands computable via CFT methods and allows us
to test and verify many conjectures and results proposed in the
mathematical literature. I will finish by commenting on how the
relation to the Langlands program may provide crucial in
constructing systematically the SoV transform for theories based
on different Lie Algebras.