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Мероприятия

Семинар "Геометрические структуры на многообразиях": Manfred Lehn

Мероприятие завершено

В четверг 01 октября на семинаре "Геометрические структуры на многообразиях" (18:30, комната 1001) выступит Manfred Lehn (Johannes Gutenberg University Mainz с продолжением мини-курса "Symplectic manifolds and moduli of rational curves".

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.