Event

Talk
The classification of Fano varieties - and some number mysticism
4 Dec 2007, 16:00 – 17:00

A compact complex manifold is called Fano if its Ricci curvature is positive. As end products of the so called minimal model program, Fano varieties play a central role in algebraic geometry. Their classification is an ongoing project, in particular in the singular case there are still many open questions. In the talk I will try to give an overview on results and open problems. If a Fano manifold can be anticanonically embedded, then a general hyperplane section is a Calabi-Yau manifold. In dimension three, Fano classification gives a complete answer to the question which Calabi-Yau surfaces arise in this way. Can this question also be answered by mirror symmetry?

Related to:

• Priska Jahnke