Семинар "Геометрические структуры на многообразиях": Manfred Lehn
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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.Дата
1 октября
2015
Адрес
Вавилова 7,аудитория 1001
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