SGU Special lectures by Prof. Manfred Lehn (Universität Mainz) will take place as follows:

Date & Time

May 13 - July 8, 2015

Wednesday, May 13
Wednesday, May 27
Wednesday, June 3
Wednesday, June 10
Wednesday, June 17
Wednesday, July 1
Wednesday, July 8

*All lectures will take place 14:45-16:15.

Venue

127 Conference room, Faculty of Science Bldg. #3, Kyoto University

Title

Rational Curves and Holomorphic Symplectic Manifolds

Abstract

In this lecture series, I will try to explain how to use moduli of rational curves to construct holomorphic symplectic (or hyperkähler) manifolds. We will start with a brief introduction to symplectic manifolds and a survey of existing construction methods. We will then have a closer look into Grassmannians, Quot schemes and Hilbert schemes and their use in constructing examples. In particular, I will discuss in some detail the theorems of Beauville and Donagi and of my joint work with N.Addington, C.Lehn, Sorger and van Straten, Depending on the interest of the audience I would also like to discuss the interpretation of some results from the perspective of matrix factorisations and of Kuznetsov's semiorthogonal decomposition of the derived category of cubic fourfolds.

Language

English