Journée-séminaire de combinatoire

(équipe CALIN du LIPN, université Paris-Nord, Villetaneuse)

Le 27 avril 2021 à 14h00 en visioconférence, Stavros Garoufalidis nous parlera de : Knots and their related q-series (séance jointe avec le webinaire EFI)

Résumé : Knots give rise (via complex Chern-Simons theory) to matrices of q-series, (formal power series with integer coefficients) with remarkable combinatorial, arithmetic and analytic properties, which define, in particular, holomorphic functions in the complex plane minus a ray. These are examples of 'holomorphic quantum modular forms'. We will explain the main ideas with examples of the two simplest hyperbolic knots. Joint work with Rinat Kashaev, Don Zagier, Jie Gu and Marcos Marino (in various collaborations).

 [Slides.pdf] [vidéo]

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