BIMSA > Number Theory Lunch Seminar Number Theory Lunch Seminar Automorphic L-functions and Quantum integrability I
Automorphic L-functions and Quantum integrability I
Organizers
Yongsuk Moon , Koji Shimizu
Speaker
Sergei Oblezin
Time
Thursday, April 16, 2026 12:15 PM - 1:00 PM
Venue
A4-1
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.
Speaker Intro
Sergey Oblezin received his PhD at Moscow Institute of Physics and Technology in 2004. Education in Moscow and work experience at the Alikhanov Institute for Theoretical and Experimental Physics shaped his intra-disciplinary vision in mathematics, based on a unique and mutually transformative synthesis of quantum physics and mathematics. At early stage, his research achievements were recognized by several awards including two Russian Federation President Fellowships for young mathematicians (in 2007-2008 and 2008-2009). In 2009-2012, Sergey's research was awarded by the Pierre Deligne Prize (supported by P.Deligne's Balzan Prize, 2004). In 2013-17 Sergey's project "Topological field theories, Baxter operators and the Langlands programme" was supported by the Established Career EPSRC grant (UK). During 2015-2023, Sergey was an Associate Professor in Geometry at the University of Nottingham (UK), before taking his current full-time Professor position at BIMSA in 2024. Sergey Oblezin is working on a long term research project devoted to transferring and developing methods and constructions of quantum physics to the Langlands Program. His research interests include representation theory, harmonic analysis and their interactions with number theory and mathematical physics.