Speaker: Prof. D. Gurevich (Valenciennes University, France)

Title: Elements of braided geometry and their applications

Abstract: By braided geometry one means a type of geometry related to a braiding, in particular that coming from a quantum group. Consequently, some basic notions of usual geometry and algebra (trace, Lie algebra, vector field) become "braided". In my talk I plan to introduce these braided objects and operators (related to braidings of Hecke type)and explain their possible applications to dynamical models. Also, I'll motivate interest in braided geometry by its relations with quantization problem of some classical structures.