Геометрические структуры на многообразиях: Манфред Ленн

В четверг 24 сентября
на семинаре "Геометрические структуры на многообразиях"
(18:30, комната 1001) выступит Манфред Ленн с первой
частью мини-курса.

Manfred Lehn (Mainz)
http://www.mathematik.uni-mainz.de/Members/lehn
http://www.mathpubs.com/author/Manfred+Lehn
Symplectic manifolds and moduli of rational curves

In this lecture series, I will try to explain how to use
moduli of rational curves to construct holomorphic symplectic
(or hyperkahler) 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.