Skip to main content

Online: Buildings, quaternions and Drinfeld-Manin solutions of Yang-Baxter equations

Posted in
Speaker: 
Alina Vdovina
Affiliation: 
Newcastle University
Date: 
Tue, 2020-08-18 14:00 - 15:00

To be useful in theoretical physics, mathematical structure has to be sufficiently rich and cover several fields of mathematics, physics and, potentially, computer science. One of the barriers to overcome is different languages and different terminologies. We will give a brief introduction to the theory of buildings and present their geometric, algebraic and arithmetic aspects. In particular, we present explicit constructions of infinite families of quaternionic cube complexes, covered by buildings. We will use these cube complexes to describe new infinite families of Drinfeld-Manin solutions of Yang-Baxter equations.

https://bbb.mpim-bonn.mpg.de/b/gae-a7y-hhd

© MPI f. Mathematik, Bonn Impressum & Datenschutz
-A A +A