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125. 23/06/2025 Agata Pilitowska (Warsaw University of Technology, Poland)
Title: Diagonals of solutions of the Yang-Baxter equation
Abstract: The Yang-Baxter equation is one of the fundamental equations occurring in statistical mechanics and quantum field theory. I will show that the diagonal mappings are bijections in any non-degenerate set-theoretical solution. This immediately implies that any non-degenerate solution is bijective and affirmatively answers the question stated by Cedo, Jespers, and Verwimp. I also prove that, for a subclass of solutions called permutational, one-sided non-degeneracy is sufficient for the diagonal to be invertible. This is joint work with Premysl Jedlicka (Czech University of Life Sciences).
Future talks:
126. 30/06/2025 Vincenzo Nardozza (University of Bari Aldo Moro, Italy)
127. 07/07/2025 Tuan Pham (University of Edinburgh, UK)
128. 14/07/2025 Elkin Quintero Vanegas (Federal University of Amazonas, Brazil)
129. 21/07/2025 Sebastiano Argenti (University of Basilicata, Italy)
130. 28/07/2025 Zohreh Ravanpak (West University of Timisoara, Romania)
131. 04/08/2025 Alan Guimarães (Federal University of Rio Grande do Norte, Brazil)
132. 11/08/2025 Abror Khudoyberdiyev (Institute of Mathematics, Uzbekistan)
133. 18/08/2025 Sachin Sharma (Indian Institute of Technology Kanpur, India)
134. 25/08/2025 Johan Richter (Blekinge Institute of Technology, Sweden)
135. 01/09/2025 Irene Paniello (University of Zaragoza, Spain)
136. 08/09/2025 Iván Ruiz Campos (University of Málaga, Spain)
137. 15/09/2025 Paolo Saracco (Vrije Universiteit Brussel, Belgium)
138. 22/09/2025 Abdenacer Makhlouf (University of Haute Alsace, France)
139. 29/09/2025 Nishant Rathee (IISER Mohali, India)
140. 06/10/2025 Dijana Ilišević (University of Zagreb, Croatia)
141. 13/10/2025 Ilja Gogić (University of Zagreb, Croatia)
142. 20/10/2025 Victor Roca i Lucio (Paris Cité University, France)
143. 27/10/2025 Michiel Smet (Ghent University, Belgium)
144. 03/11/2025 Xiaomin Tang (Heilongjiang University, China)
145. 10/11/2025 Ginevra Giordani (University of L'Aquila, Italy)
146. 17/11/2025 Miguel Gómez Lozano (University of Málaga, Spain)
147. 24/11/2025 Gerardo Martín Escolano (University of Granada, Spain)
148. 01/12/2025 Bernardo Leite da Cunha (University of Santiago de Compostela, Spain)
149. 08/12/2025 Azamat Saydaliyev (Institute of Mathematics, Uzbekistan)
150. 15/12/2025 Cristina Draper (University of Málaga, Spain)
Ivan Kaygorodov • Salvatore Siciliano • Mykola Khrypсhenko • Jobir Adashev