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Mee Seong Im

Email Address: mim2 (at) math (dot) uiuc (dot) edu
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August 30, 2008 to September 7, 2008. 31st Autumn School in Algebraic Geometry: Fano Manifolds and Lagrangian fibration of symplectic manifolds, Lukecin, Poland, page 2


Go to page 1 by clicking here.

Go to Adrian Langer's website.

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

Programme:

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. The school will take place in a Warsaw University pension in Lukecin (look here for more information), on Western part of Polish Baltic sea shore (see a map).

The school will be financially supported by Institute of Mathematics of Warsaw University and by Polish State Committee for Scientific Research.

All inquiries should be directed to Adrian Langer: alan at mimuw.edu.pl . Registration deadline: July 1st, 2008.


Preliminary reading list for lagrangian fibrations:

  • J.M. Hwang, Base manifolds for fibrations of projective irreducible symplectic manifolds
  • J.M. Hwang, K. Oguiso, Characteristic foliation on the discriminantal hypersurface of a holomorphic Lagrangian fibration
  • D. Matsushita, On fibre space structures of a projective irreducible symplectic manifold, Topology 38 (1999), 79--83.
  • D. Matsushita, On singular fibres of Lagrangian fibrations over holomorphic symplectic manifolds, Math. Ann. 321 (2001), 755--773.
  • D. Matsushita, Higher direct images of dualizing sheaves of Lagrangian fibrations, Amer. J. Math. 127 (2005), 243--259.



    • Go to page 1 by clicking here.


    Coordinators:
    Adrian Langer, Warsaw University, Poland
    Jaroslaw Wisniewski, Warsaw University, Poland

    Dr. Oguiso's lecture notes for the fall school:
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    Pictures during the autumn school.




























































    Go to page 1 by clicking here.














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