Dr. Manfred Lehn

Manfred Lehn (Mainz) посетил Лабораторию алгебраической геометрии по приглашению научного сотрудника, заведующего лабораторией А.Г. Кузнецова в сентябре 2015 года.

24 сентября он выступил с первой частью мини-курса "Symplectic manifolds and moduli of rational curves" на семинаре "Геометрические структуры на многообразиях"
Abstract: 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.

25 сентября он выступил с докладом "Symplectic hypersurfaces" на еженедельном семинаре Лаборатории алгебраической геометрии

All of these arise as Slodowy slices to nilpotent orbits in  simple Lie algebras. We will also describe alternative constructions that lead to the same singularities. This is joint work with Yoshinori Namikaw a, Christoph Sorger and Duco van Staten.

 Анонс доклада (DOC, 109 Кб)