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159. 02/03/2026 Ilan Levin (Bar Ilan University, Israel)
Title: Measuring the associativity of loops
Abstract: In group theory folklore, there is a well-known theorem: The probability that two randomly uniformly chosen elements commute in a non-abelian group G cannot exceed 5/8. The bound is attained by the Quaternion group Q_8. In this talk, we shall discuss a non-associative analog of the theorem. Namely, the probability of three randomly chosen elements associating is bounded by 43/64 in Moufang loops with nuclear commutators, with the bound attained by the Octonion loop O_16.
Future talks:
160. 09/03/2026 Lucia Bagnoli (Sapienza University of Rome, Italy)
161. 16/03/2026 Carsten Dietzel (University of Caen Normandy, France)
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