Colloquium M, Dimitri Gurevich
Date: Tuesday September 10th, 2013
Speaker: Dimitri Gurevich (Valenciennes University, France)
Room: 5161.0267 (Bernoulliborg)
Time: 15.00
Title: "Reflection Equation Algebra and its applications to Noncommutative Geometry"
Abstract:
Reflection Equation Algebra (REA) is one of the central objects of Braided Geometry.
By Braided Geometry I mean a theory related to a braiding, i.e.
a solution to the Quantum
Yang-Baxter Equation. I'll
exhibit properties of the REA related to different types of braidings.
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 of
dynamical models of Physics can be generalized to this algebra.
A very amusing fact is that these models are in a sense discrete.
Colloquium coordinators are Prof.dr. A.C.D. van Enter (e-mail : A.C.D.van.Enter@rug.nl) and
Dr. A.V. Kiselev (e-mail:
a.v.kiselev rug.nl
)
http://www.rug.nl/research/jbi/news/colloquia/mathematics-colloquia/
Last modified: | 10 February 2021 2.28 p.m. |
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