Colloquium Lecture Department of Mathematics Bar Ilan University sunday 26 april '09, at 12:00 pm Department Room

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.