Seminars: V. P. Spiridonov, Introduction to the theory of elliptic hypergeometric integrals

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Automorphic forms and their applications
January 29, 2018 17:00–18:00, Moscow, Laboratory of theoretical physics, JINR, Dubna

Introduction to the theory of elliptic hypergeometric integrals

V. P. Spiridonov^ab

^a Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics
^b National Research University "Higher School of Economics" (HSE), Moscow

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https://youtu.be/XHj5suq_ZGg

Abstract: Superconformal indices of 4d supersymmetric field theories are described by elliptic hypergeometric integrals. I will describe the most important mathematical facts about this class of special functions and present some methods of proving identities for them supporting the Seiberg duality conjectures.

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