| Friday 3 May 2024 | |
| Events for day: Wednesday 26 April 2023 |
| 17:30 - 19:00 Algebraic Geometry Biweekly Webinar The Calabi Problem for Fano Threefolds School MATHEMATICS The Calabi Problem is a formidable problem in the confluence of differential and algebraic geometry. It asks which compact complex manifolds admit a Kahler-Einstein metric. A necessary condition for the existence of such a metric is that the canonical class of the manifold has a definite sign. For manifolds with zero or positive canonical class, the Calabi problem was solved by Yau and Aubin/Yau in the 1970s. They confirmed Calabi's prediction, showing that these manifolds always admit a Kahler-Einstein metric. On the other hand, for projective manifolds with negative canonical class, called ''Fano manifolds'', the problem is much more subtle ... |