Categorical Perspectives on Classifying Yang-Baxter Matrices

by Prof. Eric Rowell (Texas A&A University)

Tuesday 20 Jan 2026, 17:00 → 18:00 Europe/Berlin

H4 (Geomatikum)

Classifying matrix solutions to the Yang-Baxter equation is a problem noted for both its simplicity and a dearth of effective strategies. Work with Martin classifying charge conserving solutions to the Yang-Baxter in all dimensions has inspired us to look at the general problem afresh (or possibly poisoned us with hubris).  In particular the categorical perspective suggests that there may be other families of solutions that are amenable to classification.  In work with Martin and Torzewska, we have begun excavating the structure and properties of the category MonFun(B,Mat) of strong monoidal functors from the braid category B to the category Mat of matrices, as well as subcategories.  Time permitting I will mention other sources and targets.