31st Autumn School in Algebraic Geometry

Fano manifolds and Lagrangian fibration of symplectic manifolds

Lukecin, Poland, August 31st - September 6th, 2008

Teachers: Keiji Oguiso (Keio University, Japan, and KIAS, Korea) and Jaroslaw Wisniewski (Warsaw University, Poland)


The lectures focused on two related classes of varieties: symplectic manifolds (K.O.) and Fano manifolds (J.W.).

Holomorphic symplectic manifolds form one of the three important building blocks of compact Kaehler manifolds with vanishing first Chern class. In the lectures, K. Oguiso will explain recent impressive progress on fiber space structures on a holomorphic symplectic manifold, which are mostly done by D. Matsushita and J.M. Hwang.

It is well known from Mori theory that in general varieties can be divided into some classes among which fibrations whose general fiber is Fano play a major role. The second part of the lectures will concern Fano manifolds and their study via rational curves.

For more detailed programmes click here.

Prerequisites: Basic knowledge of algebraic geometry.

Organizers: Adrian Langer and Jaroslaw Wisniewski.

The school was supported by Institute of Mathematics of Warsaw University and by Polish Ministry of Science and Higher Education (grant N N201 2653 33).

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