International Conference. A.P. Veselov – "Differential algebra of polytopes and inversion formulas"

International Conference, dedicated to the 75th birthday of Sabir M. Gusein-Zade 19.06.25 A. P. Veselov (Loughborough, United Kingdom) Differential algebra of polytopes and inversion formulas There is a remarkable relation, due to Loday, between Lagrange inversion problem for formal series and combinatorics of Stasheff polytopes, also known as associahedra. Analogous link exists for the multiplicative inverse of the power series and special polytopes known as permutohedra. I will explain how to prove these facts using the differential algebra of polytopes, following joint work with V. M. Buchstaber. I will also discuss the link with the integrable PDEs and Deligne-Mumford moduli spaces in relation with the works of Witten, Kontsevich, Getzler and McMullen. General information The conference will be held in the Faculty of Mathematics of the HSE University (Usacheva str. 6, Moscow). Dates: 16 - 20 June 2025 Organizers: A. Buryak, V. Medvedev, A. Skripchenko More information: https://math.hse.ru/modern_aspects_singularity_theory25/ https://mccme.ru/ru/modern_aspects_singularity_theory2025/