[Summer time:] UK, Portugal: 16:00; Spain, Italy, France, etc.: 17:00
For e-mail notifications of talks, please register your e-mail HERE.
181. 03/08/2026 Elad Paran (The Open University of Israel, Israel)
Title: Algebraic geometry over division rings
Abstract: We shall survey recent developments concerned with foundational aspects of algebraic geometry over division rings: 1. A quaternionic Nullstellensatz for the ring R of polynomials in n central variables over the quaternion algebra H, in both abstract form (due to the author and Alon) and explicit form (due to M. Aryapoor). 2. A theorem about the geometry of zero sets of polynomials in R: If a polynomial vanishes on all common zeros with commuting coordinates of a left ideal J in R , then it vanishes on all common zeros of J in H^n. This result confirmed a conjecture of Gori, Sarfatti and Vlacci. 3. Study of contraction properties of one-sided ideals in polynomial rings over division rings. In particular, we show that if M is a maximal left ideal in the polynomial ring D[x], where D is a division ring, then the contraction of M to D need not be maximal. This resolved a question of Amitsur and Small from 1978. We shall discuss connections between this question to recent works and the implications to algebraic geometric over division rings. Joint works with Gil Alon, Adam Chapman.
Future talks:
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)
185. 31/08/2026 Veronika Pedić (University of Zagreb, Croatia)
186. 07/09/2026 Yannic Vargas (CUNEF University, Spain)
187. 14/09/2026 Mihalis Maliakas (National and Kapodistrian University of Athens, Greece)
188. 21/09/2026 Geoffrey Powell (University of Angers, France)
189. 28/09/2026 Frédéric Patras (Côte d'Azur University, France)
190. 05/10/2026 Silvia Properzi (Vrije Universiteit Brussel, Belgium)
191. 12/10/2026 István Heckenberger (Philipps University Marburg, Germany)
192. 19/10/2026 Simon Goodwin (University of Birmingham, UK)
193. 26/10/2026 Joost Vercruysse (Université Libre de Bruxelles, Belgium)
194. 02/11/2026 Diego Aranda-Orna (University of Oviedo, Spain)
195. 09/11/2026 Inna Entova-Aizenbud (Ben Gurion University of the Negev, Israel)
196. 16/11/2026 Anupam Singh (Indian Institute of Science Education and Research, India)
197. 23/11/2026 Sofiane Bouarroudj (New York University Abu Dhabi, United Arab Emirates)
198. 30/11/2026 Matevž Miščič (University of Ljubljana, Slovenia)
199. 07/12/2026 Ernesto Spinelli (Sapienza University of Rome, Italy)
200. 14/12/2026 Maria Matushko (Steklov Mathematical Institute of RAS, Russia)
Ivan Kaygorodov • Salvatore Siciliano • Mykola Khrypсhenko • Jobir Adashev