Kontsevich and Buchstaber Polynomials, Multiplication Kernels, and N-valued Group Laws

19 nov. 2024, 14:30
45m
Marilyn and James Simons Conference Center (IHES)

Marilyn and James Simons Conference Center

IHES

35 route de Chartres, F-91440 Bures-sur-Yvette, France

Orateur

M. Vladimir Rubtsov (Université d'Angers)

Description

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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