# Manchester Geometry Seminar 2010/2011

**Thursday 21 October 2010. ** *The Frank Adams Room (Room 1.212), the Alan Turing Building. 4.15pm*
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Elements of Braided Geometry

Dimitri Gourevitch (Université de Valenciennes)

`Dimitri.Gourevitch@univ-valenciennes.fr`

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.