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Kontsevich and Buchstaber Polynomials, Multiplication Kernels, and N-valued Formal Groups

Institut des Hautes Etudes Scientifiques (IHES) via YouTube

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Explore a 47-minute mathematics lecture from IHES where Vladimir Rubtsov from Université d'Angers delves into collaborative research findings on multiplication kernels and their properties. Learn about the Sonine-Gegenbauer formulas, examine polynomials for Buchstaber-Kontsevich discriminant locus in the context of 2-valued formal groups (Buchstaber-Novikov-Veselov), and discover the relationships between N-Bessel kernel discriminant loci and N-valued multiplication laws expressed through Buchstaber-Rees polynomials. Gain insights into advanced mathematical concepts through this collaborative work conducted with I. Gaiur, D. Van Straten, and V. Buchstaber.

Syllabus

Vladimir Rubtsov - Kontsevich and Buchstaber polynomials, multiplication kernels, and N-valued (...)

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Institut des Hautes Etudes Scientifiques (IHES)

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