Analyse des EDP, géométrie et physique

Multiplicative kernels: from Bessel to Kontsevich, Buchstaber and Calabi-Yau

Non programmé

50m

Amphis Laurent Schwartz (Toulouse)

Orateur

Prof. Volodya Roubtsov (LAREMA, UMR 6093 du CNRS Département de Mathématiques, Université d'Angers)

Description

We discuss few very recent results of a work in progress (in collaboration with I. Gaiur and D. Van Straten and with V. Buchstaber and I. Gaiur) about interesting properties of multiplication Bessel kernels, which includes well-known Clausen and Sonin-Gegenbauer formulae of XIX century, special examples of Kontsevich discriminant loci polynomials, raised as addition laws for special two-valued formal groups (Buchshtaber-Novikov-Veselov) and period functions for some CY and Landau–Ginzburg models.