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Topics in Representation Theory
On equivalence of the Mellin-Barnes and the Givental integral representations of the Whittaker functions
On equivalence of the Mellin-Barnes and the Givental integral representations of the Whittaker functions
组织者
演讲者
时间
2024年12月06日 13:00 至 14:30
地点
A3-4-301
线上
Zoom 518 868 7656
(BIMSA)
摘要
The talk is based on a recent paper arXiv:2405.05152 joint with A.Gerasimov and D.Lebedev. We construct an integral transformation intertwining the Gelfand-Tsetlin and the (modified) Gauss-Givental realizations of principle series representations of gl(3). This provides a direct identification of the corresponding integral representations for the gl(3)-Whittaker function.
演讲者介绍
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.