The school aims to introduce graduate students and young researchers to the modern theory of non-associative algebras and their applications, with a focus on Lie algebras, Leibniz algebras, incidence algebras, genetic algebras and their deformations. The courses will be focused on some key topics in description of algebraic systems with certain properties, algebraic systems over positive characteristic, deformations of algebraic systems, classifications of algebraic systems. The participants will be provided with an introduction to the basic material and with the necessary background, before proceeding with the more advanced topics. The courses will survey a range of applications including classical methods of research in certain areas and applications in other modern areas, such as geometry, physics, biology and some other. Besides lectures, we are also planning sessions devoted to solving exercises and discussing open problems.
Langue officielle de l'école : anglais