Automorphic L-functions and Quantum integrability II

BIMSA-YMSC Number Theory Lunch Seminar

Organizers：

Yong Suk Moon, Koji Shimizu

Speaker：

Sergey Oblezin

Time：

Thur., 12:00-13:00, April 23, 2026

Venue：

BIMSA A4-1

Title:

Automorphic L-functions and Quantum integrability II

Abstract:

Zeta functions (like Riemann's zeta) and L-functions (like Dirichlet's series) play fundamental role in number theory (in particular in the Langlands program) encoding arithmetic data (of algebraic varieties, or automorphic forms) into complex functions. In my talks, at first I review key ingredients from representation theory and harmonic analysis (Tate's thesis). Then I explain how methods and constructions of the theory of quantum integrable systems naturally appear in this framework. This provides an interesting and fruitful approach to the Langlands correspondence, which in particular allows to discover hidden symmetries of underlying analytic constructions in the theory of automorphic forms. This is based on joint works with A. Gerasimov and D. Lebedev.