ZMP Seminar Series: Separation of Variables
Winter Term 2024/25
DESY/UHH
See also
the Junior
ZMP Seminar
Abstract, including references
More literature
Literature
Babelon, Bernard,
Talon: Introduction
to Classical Integrable Systems
Sklyanin: The
Quantum Toda Chain
Sklyanin: Separation of variables: New trends
(solv-int/9504001)
Kuznetsov, Nijhoff,
Sklyanin: Separation
of variables for the Ruijsenaars
system (solv-int/9701004)
Derkachov, Korchemsky, Manashov: Separation of variables for the quantum SL(2,R) spin chain (hep-th/0210216)
Seminars
Seminar 1: Classical SoV 1 (Lukas Johannsen)
Lecture notes 1
Seminar 2: Classical SoV 2: Spectral Curve (Jonah Baerman)
Lecture notes 2
Seminar 3: Classical SoV 3: Action-Angle Variables (Albert Bekov)
Lecture notes 3
Seminar 4: Quantum SoV 1: Sklyanin Measure and Baxter TQ equation (Torben Skrzypek)
Lecture notes 4
Seminar 5: Quantum SoV 2: Modern approach and higher rank (Paul Ryan)
Lecture notes 5
Seminar 6: Q-operators from quantum group representations (Christopher Raymond)
Lecture notes 6
Literature:
Seminar 7: Functional Separation of Variables (Paul Ryan)
Lecture notes 7
Seminar 8: Separation of Variable and the Analytic Langlands Correspondence (Federico Ambrosino)
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.
Lecture notes 8
Schedule (seminar
and colloquium) (see
also indico)