The lectures will focus 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.