School of Mathematics, Statistics and Physics

Seminar Item

Pure Maths (Analysis) - Alina Vdovina (Newcastle)

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

Date/Time: Monday 12 October, 1.30pm - Analysis Seminar

Venue: Zoom

Abstract: 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.