About the conference

Few equations have had such an impact on modern algebra as the Yang-Baxter equation. 

Originally introduced in statistical mechanics and quantum integrable systems, it has profoundly influenced the development of pure mathematics, playing a key role in quantum group theory, knot theory, low-dimensional topology, category theory, representation theory, and noncommutative geometry. Over the past decades, the study of its set-theoretical solutions has inspired the introduction of several new algebraic structures, including racks, quandles, braces, and trusses, revealing unexpected connections between different areas of mathematics. 

Our aim is to gather researchers working on the Yang-Baxter equation from complementary perspectives, bringing together expertise from group theory, category theory, noncommutative geometry, and neighbouring areas, and highlighting the many interactions between these subjects.

The conference welcomes contributions on all aspects of the Yang-Baxter equation and related topics, including set-theoretical and linear solutions, Hopf algebras, skew braces, tensor and braided monoidal categories, noncommutative geometry, representation theory, quantum topology, integrable systems, and other algebraic, geometric, and categorical structures connected with the Yang-Baxter equation.