

Complex analysis and mathematical physics
September 30, 2013 16:00–18:00, Moscow, Steklov Mathematical Institute, Room 430 (8 Gubkina)






Braided Geometry and its applications
D. I. Gurevich^{} ^{} Université de Valenciennes et du HainautCambrésis

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Abstract:
By Braided Geometry I mean a theory related to a braiding, i.e.
a solution to the Quantum YangBaxter Equation.
One of the central objects of Braided Geometry is Reflection Equation
Algebra (REA).
I'll exhibit properties of different types of braidings and the
corresponding REA.
Also, I'll explain the role of the REA in constructing a differential
calculus
on the enveloping algebra U(gl(n)). In the case $n=2$ this calculus leads
to a noncommutative version of the Minkowski space algebra. Many
dynamical models can be generalized to this algebra.
A very amusing fact is that these models are in a sense discrete.

