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Colloquium of Steklov Mathematical Institute of Russian Academy of Sciences
October 3, 2019 16:30, Moscow, Steklov Mathematical Institute of RAS, Conference Hall (8 Gubkina)


From Feynman integrals to Kloosterman sums

J. Fresán


https://youtu.be/lcmt0ca4Zb4

Abstract: Certain Feynman integrals in two-dimensional quantum field theory are given by moments of the Bessel functions. In an attempt to get a grasp of their properties, Broadhurst and Roberts explored the analogy with Kloosterman sums over finite fields. I will explain their conjectures and what we can prove in joint work with Claude Sabbah and Jeng-Daw Yu.

Language: English


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