Colloquium M, Dimitri Gurevich

Date:                          Tuesday September 10^th, 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/