Thursday November 21st, 2024 | |
| Time: | 3:45 PM - 4:45 PM |
| Title: | Monge-Ampere equations: beyond the classical cases. |
| Speaker: | Semyon Alesker, Tel Aviv University |
| Location: | P-131 |
| Abstract: | |
| Real and complex Monge-Ampère equations are classical, well-studied, and have numerous applications in analysis and geometry. Over the past two decades, several attempts have been made to generalize these equations to new contexts, including calibrated and quaternionic geometries. In this talk, we introduce an octonionic analogue of Kähler metrics on a class of 16-manifolds and present an octonionic version of the Monge-Ampère equation in this setting. We also prove an octonionic Calabi-Yau type theorem for this equation. The new results presented in this talk are joint work with P. Gordon. | |