International Conference. A. N. Varchenko – ＂Differential KZ equations in characteristic p＂
International Conference, dedicated to the 75th birthday of Sabir M. Gusein-Zade 16.08.25 A. N. Varchenko (Chapel Hill, USA) Differential KZ equations in characteristic p The Knizhnik – Zamolodchikov (KZ) equations form a system of linear partial differential equations that exhibit profound connections with theoretical physics, representation theory, algebraic geometry, and integrable systems. In 1984, Vladimir Knizhnik and Alexander Zamolodchikov first introduced these equations within the context of conformal field theory to depict the behavior of correlation functions of vertex operators in two-dimensional quantum field theories. Since then, the equations have emerged as a central object in both mathematical physics and pure mathematics, bridging seemingly disparate fields such as Lie algebras, braid groups, hypergeometric integrals, congruences in number theory, and geometric topology. In this talk I will review properties of KZ equations in characteristic p. 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/
International Conference, dedicated to the 75th birthday of Sabir M. Gusein-Zade 16.08.25 A. N. Varchenko (Chapel Hill, USA) Differential KZ equations in characteristic p The Knizhnik – Zamolodchikov (KZ) equations form a system of linear partial differential equations that exhibit profound connections with theoretical physics, representation theory, algebraic geometry, and integrable systems. In 1984, Vladimir Knizhnik and Alexander Zamolodchikov first introduced these equations within the context of conformal field theory to depict the behavior of correlation functions of vertex operators in two-dimensional quantum field theories. Since then, the equations have emerged as a central object in both mathematical physics and pure mathematics, bridging seemingly disparate fields such as Lie algebras, braid groups, hypergeometric integrals, congruences in number theory, and geometric topology. In this talk I will review properties of KZ equations in characteristic p. 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/