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
Sep. 16, 2025 2:30pm (MATH 2…
Grad Algebra/Logic
Charlotte Aten (CU Boulder)
X
We will begin covering background material pertaining to the recent paper "A categorical perspective on constraint satisfaction: The wonderland of adjunctions" by Hadek, Jakl, and Oprsal.
L-Algebras: A bridge between algebraic logic and the Yang-Baxter equation