Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Bart Vlaar
Affiliation:

MPIM
Date:

Thu, 24/03/2022 - 15:00 - 16:00 This talk will take place on zoom only!

For zoom details contact Christian Kaiser (kaiser@mpim-bonn.mpg.de)

We will give a conceptual survey of some recent results in the construction of tensor product representations of the Artin-Tits braid group of type B using q-deformed enveloping algebras U_q(g). Each of these defines a cylindrical structure on braided tensor categories of suitable U_q(g)-modules. We will pay particular attention to representations depending on an additional "spectral" parameter which play an important role in quantum integrable systems (exactly solvable models) with boundaries. Based on joint works with A. Appel and

V. Regelskis.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/158