Algebra Seminar | Oct. 18

The Mathematics Department Algebra Seminar features Aaron Nicely, Ohio University, discussing "Skew Left Braces and the Yang-Baxter Equation"on Oct. 18, at 1 p.m. via Zoom.

Zoom information:

• https://us06web.zoom.us/j/97235712165?pwd=OHFSL2lXVnVUWU9pdUxRQlhkRG1oUT09
• Meeting ID: 972 3571 2165
• Passcode: 8nuxSQ

Abstract : Braces are generalizations of radical rings, introduced by Rump to study non-degenerate involutive set-theoretical solutions of the Yang–Baxter equation. Skew braces were also recently introduced as a tool to study non-degenerate solutions that are not necessarily involutive. Skew braces appear in many different contexts, such as near-rings, matched pairs of groups, triply factorized groups, bijective 1-cocycles, and Hopf–Galois extensions. In this seminar, we will give a short introduction to braces and skew braces, and we will present a paper by Lindsay Childs which gives a self-contained proof that a skew left brace yields a solution of the Yang-Baxter equation.