This talk explores the interplay between set-theoretic solutions to the Yang-Baxter equation and structures arising in algebraic logic. Central to this connection is the recently introduced theory of L-algebras, which generalizes well-known logical systems such as Hilbert and Heyting algebras. The presentation assumes minimal background. We will discuss illustrative examples, highlight open problems, and share several conjectures.
L-Algebras: A bridge between algebraic logic and the Yang-Baxter equation
L-Algebras: A bridge between algebraic logic and the Yang-Baxter equation