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162. 23/03/2026 Andrea Albano (University of Salento, Italy)
Title: Set-theoretic solutions of the Yang--Baxter equation and di-skew braces
Abstract: The aim of this talk is to provide a brief overview of the role of generalised digroups in the study of the set-theoretic Yang-Baxter equation (YBE). Digroups are algebraic objects endowed with two binary associative operations that arose in the investigations of R. Felipe, K. Liu and M. Kinyon around the so-called coquecigrue problem, as first stated by J. L. Loday. In detail, we will introduce the structure of di-skew braces as a split notion of usual skew braces and show how they provide a class of non-degenerate solutions to the set-theoretic YBE whose (left) derived rack is not necessarily idempotent. Moreover, we will describe basic properties of such solutions through the lens of self-distributivity and explore related ideas. Based on a joint work with Paola Stefanelli.
Future talks:
163. 30/03/2026 Willian Franca (Federal University of Juiz de Fora, Brazil)
164. 06/04/2026 Rong Tang (Jilin University, China)
165. 13/04/2026 Maria Ferrara (Pegaso University, Italy)
166. 20/04/2026 Michael Lau (Laval University, Canada)
167. 27/04/2026 Abdenacer Makhlouf (University of Haute Alsace, France)
168. 04/05/2026 Per Bäck (Mälardalen University, Sweden)
169. 11/05/2026 Krzysztof Radziszewski (University of Białystok, Poland)
170. 18/05/2026 Ágota Figula (University of Debrecen, Hungary)
171. 25/05/2026 Andrés Pérez-Rodríguez (University of Santiago de Compostela, Spain)
172. 01/06/2026 Geoffrey Powell (University of Angers, France)
173. 08/06/2026 Ivan Dimitrov (Queen’s University, Canada)
174. 15/06/2026 Rinat Kashaev (University of Geneva, Switzerland)
175. 22/06/2026 María Cueto-Avellaneda (University of Murcia, Spain)
176. 29/06/2026 Michael Kinyon (University of Denver, USA)
177. 06/07/2026 Atabey Kaygun (Istanbul Technical University, Turkey)
178. 13/07/2026 Marco Castelli (University of Salento, Italy)
179. 20/07/2026 Yannic Vargas (CUNEF University, Spain)
180. 27/07/2026 Marijana Butorac (University of Rijeka, Croatia)
181. 03/08/2026 Elad Paran (The Open University of Israel, Israel)
182. 10/08/2026 Diogo Diniz (Federal University of Campina Grande, Brazil)
183. 17/08/2026 Lực Ta (University of Pittsburgh, USA)
184. 24/08/2026 Jethro van Ekeren (Institute of Pure and Applied Mathematics, Brazil)
186. 07/09/2026 Quentin Ehret (New York University Abu Dhabi, United Arab Emirates)
190. 05/10/2026 Silvia Properzi (Vrije Universiteit Brussel, Belgium)
191. 12/10/2026 István Heckenberger (Philipps University Marburg, Germany)
Ivan Kaygorodov • Salvatore Siciliano • Mykola Khrypсhenko • Jobir Adashev