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144. 03/11/2025 Michiel Smet (Ghent University, Belgium)
Title: Cubic norm pairs and hermitian cubic norm structures
Abstract: Cubic norm structures were originally introduced by McCrimmon to generalize Springer's construction of Jordan algebras from a pairing of cubic forms. These cubic norm structures appear naturally in the study of (exceptional) Lie algebras and (exceptional) linear algebraic groups. Later, Allison introduced structurable algebras. One of the main classes of structurable algebras is closely related to cubic norm structures. Moreover, the natural appearances of cubic norm structures can often be understood in terms of this class of structurable algebras. To better understand this class of structurable algebras, De Medts introduced hermitian cubic norm structures. In this talk, we introduce cubic norm pairs and hermitian cubic norm structures over arbitrary commutative rings and construct an associated structurable algebra, Lie algebra, and automorphism group. We also study the behaviour of certain automorphism groups.
Future talks:
145. 10/11/2025 Ginevra Giordani (University of L'Aquila, Italy)
146. 17/11/2025 Yulia Zaitseva (HSE University, Russia)
147. 24/11/2025 Gerardo Martín Escolano (University of Granada, Spain)
148. 01/12/2025 Vicent Pérez Calabuig (University of Valencia, Spain)
149. 08/12/2025 Azamat Saydaliyev (Institute of Mathematics, Uzbekistan)
150. 15/12/2025 Cristina Draper (University of Málaga, Spain)
----. 22/12/2025 XX Non-Associative Day in Online´25
151. 05/01/2026 Dimas José Gonçalves (Federal University of São Carlos, Brazil)
152. 12/01/2026 Ramón González Rodríguez (University of Vigo, Spain)
153. 19/01/2026 Dimitar Grantcharov (University of Texas at Arlington, USA)
154. 26/01/2026 Bernardo Leite da Cunha (University of Santiago de Compostela, Spain)
155. 02/02/2026 Zahra Nazemian (University of Graz, Austria)
156. 09/02/2026 Hans Cuypers (Eindhoven University of Technology, Netherlands)
157. 16/02/2026 Davide Ferri (University of Torino, Italy)
158. 23/02/2026 Saikat Goswami (Institute for Advancing Intelligence, India)
159. 02/03/2026 Solomon Vishkautsan (Tel-Hai Academic College, Israel)
160. 09/03/2026 Lucia Bagnoli (National Institute for Pure and Applied Mathematics, Brazil)
161. 16/03/2026 Carsten Dietzel (University of Caen Normandy, France)
162. 23/03/2026 István Heckenberger (Philipps University Marburg, Germany)
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 (University of Campania Luigi Vanvitelli, Italy)
166. 20/04/2026 Michael Lau (Laval University, Canada)
167. 27/04/2026 Abdenacer Makhlouf (University of Haute Alsace, France)
Ivan Kaygorodov • Salvatore Siciliano • Mykola Khrypсhenko • Jobir Adashev