Representations, Probability, and Beyond : A Journey into Anatoly Vershik’s World

Collection Representations, Probability, and Beyond : A Journey into Anatoly Vershik’s World

Organizer(s) Mikhail Gromov, Sergei Nechaev, Volodya Rubtsov
Date(s) 18/11/2024 - 19/11/2024
linked URL https://indico.math.cnrs.fr/event/12238/
00:00:00 / 00:00:00
13 16

Kontsevich and Buchstaber polynomials, multiplication kernels, and N-valued group laws

By Vladimir Rubtsov

We shall discuss several partial results of ongoing work in collaboration (with I. Gaiur \& D. Van Straten and with V. Buchstaber \& I. Gaiur) on interesting properties of multiplication kernels, which include the famous Sonine –Gegenbauer formulas, examples of polynomials for Buchstaber–Kontsevich discriminant locus given as addition laws for special 2-valued formal groups (Buchstaber–Novikov–Veselov) as well as a connection of N-Bessel kernel discriminant loci with N-vlaued multiplication laws given by Buchstaber-Rees polynomials.

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