The Yang-Baxter equation and all that
Będlewo, 15–21 June 2025
The meeting will be organised in Będlewo with arrival date 15th June (Sunday) and departure 21st June (Saturday).
If you have any question please contact us at ybe@impan.pl.
Main Speakers
Stay tuned for updates on confirmed speakers!
Giovanna Carnovale
Università degli Studi di Padova, Italy
Vincent Caudrelier
University of Leeds, UK
Celeste Damiani
Istituto Italiano di Tecnologia Genova, Italy
Alberto Facchini
Università degli Studi di Padova, Italy
István Heckenberger
University of Marburg, Germany
Victoria Lebed
Université de Caen, France
*Shahn Majid
Queen Mary, University of London, UK
Jan Okniński
Warsaw University, Poland
Anna Rio
Polytechnic University of Catalonia, Spain
Fiona Torzewska
Univeristy of Bristol, UK
Anna Zamojska-Dzienio
Warsaw University of Technology, Poland
* to be confirmed
About the conference
The conference will explore the Yang-Baxter equation (YBE), a central topic in pure mathematics with connections to particle physics, statistical mechanics, and various mathematical fields like algebra, knot theory, tensor categories, and Hopf–Galois theory. Introduced in the 1960s by Yang and Baxter, the YBE has evolved into a rich and profound area of study. Drinfel'd's combinatorial version of the YBE, proposed in 1992, unveiled deep connections to numerous mathematical structures, including skew polynomial algebras, Bieberbach and Garside groups, and self-distributive structures such as racks and quandles. New algebraic concepts such as cycle sets, braces, and trusses were developed to address YBE-related problems and have found applications in other areas of mathematics.
Topics Covered
Construction of Solutions: Developing techniques for finding and studying YBE solutions.
Classification Based on Algebraic Structures: Analyzing YBE solutions through structures like braces and racks.
Applications to Mathematical Physics: Exploring the role of YBE in statistical mechanics and quantum field theory.
Applications to Low-Dimensional Topology: Investigating connections to knot theory, braid theory, and beyond.
Hopf Algebras and Quantum Groups: Discussions with leading experts on related algebraic structures.