Manchester Geometry Seminar 2010/2011

Thursday 21 October 2010. The Frank Adams Room (Room 1.212), the Alan Turing Building. 4.15pm

Elements of Braided Geometry

Dimitri Gourevitch (Université de Valenciennes)

By Braided Geometry one means that related to a braiding, i.e. a solution of Quantum Yang-Baxter Equation. Many notions of classical and super-geometry can be naturally generalized in the frameworks of Braided Geometry. I shall discuss braided analogs of (super-)traces, Lie (super-) algebras, (super-)vector fields etc. Also, I plan to present recent results concerning braided analogs of orbits in gl(n)* and to explain how a quantization of certain Poisson brackets gives rise to braided objects.