Braces in Bracelet Bay
LMS Regional Meeting and Workshop
Swansea University, January 4-6th, 2022
The Yang-Baxter equation is one of important equations in physics and mathematics, which first appeared in the context of quantum field theory, gained prominence through its application to integrable Hamiltonian systems, and became a subject of intensive studies in the context of quantum groups, knot theory and braided categories. Recently, unexpected connections found between the set theoretic version of the Yang-Baxter equation, interrelated group structures on a set or braces, radical rings, Hopf-Galois structures, have raised interest in algebraic systems closely related to the Yang-Baxter and other equations (such as the reflection equation). In addition to braces, such systems include now skew braces, semi-braces, skew lattices, racks or quandles to mention but a few.
The aim of the LMS South Wales & South West Regional Meeting and acommpanying workshop is to bring specialists in the theory of braces and other structures related to the set-theoretic Yang-Baxter equation to discuss recent progress in this area, applications to classical problems in group theory, and directions for future developments.
Basic information
Deadline for registration: 5th of December 2021
Dates of the Meeting: 4th-6th of January 2022
Format:
PhD Students Meeting: morning of Tuesday, 4th of January.
South Wales & South West LMS Regional Meeting: afternoon of Tuesday, 4th of January. The lectures will be accessible to non-specialists.
Workshop on Braces: Wednesday 5th & Thursday 6th of January.
Contact:
For any further queries, please write to us on:
T.Brzezinski@swansea.ac.uk, Charlotte.Verwimp@vub.be or B.Rybolowicz@hw.ac.uk
Speakers and talks
LMS Regional Meeting lectures
A. Doikou (Edinburgh)
Yang-Baxter equation, quantum integrability and braces
S. Majid (London)
Yang-Baxter equations and braided geometry
L. Vendramin (Brussels)
Radical rings, braces and the Yang-Baxter equation
Workshop lectures
I. Colazzo (Exeter)
YB-semitrusses with associated bijective solutions
T. Gateva-Ivanova (Sofia)
Veronese and Segre morphisms between non-commutative projective spaces
A. Ghobadi (London)
Hopf algebraic viewpoint on skew braces
V. Gubarev (Novosibirsk)
Rota-Baxter groups and skew left braces
Ł. Kubat (Warsaw)
Radical and weight for skew braces and their applications to the Yang-Baxter equation
V. Lebed (Caen)
Reflection equation as a tool for studying solutions to the Yang–Baxter equation
J. Okniński (Warsaw)
Simple solutions of the Yang-Baxter equation
A. Pilitowska (Warsaw)
Biracks and non-degenerate set-theoretic solutions of the Yang-Baxter equation
P. Truman (Keele)
Skew braces and Hopf-Galois theory
C. Verwimp (Brussels)
Left non-degenerate set-theoretic solutions of the Yang-Baxter equation and related associative structures
PhD Students' Workshop
Schedule of talks (GMT)
Tuesday 4th January
PhD Students' Workshop
9:30 - 10:15 L. Stefanello
10:15 - 10:45 Coffee
10:45 - 11:30 A. Darlington
LMS Regional Meeting
14:00 - 14:15 LMS Business
14:15 - 15:15 S. Majid
15:15 - 16:15 A. Doikou
16:15 - 16:30 Tea
16:30 - 17:30 L. Vendramin
Wednesday 5th January
9:00 - 10:00 T. Gateva-Ivanova
10:00 - 10:30 Coffee
10:30 - 11:30 J. Okniński
11:30 - 12:30 Ł. Kubat
12:30 - 14:00 Lunch
14:00 - 15:00 C. Verwimp
15:00 - 15:30 Tea
15:30 - 16:30 I. Colazzo
Thursday 6th January
9:00 - 10:00 V. Gubarev
10:00 - 10:30 Coffee
10:30 - 11:30 A. Pilitowska
11:30 - 12:30 V. Lebed
12:30 - 14:00 Lunch
14:00 - 15:00 P. Truman
15:00 - 15:30 Tea
15:30 - 16:30 A. Ghobadi