Princeton/IAS Symplectic Geometry Seminar | |

Topic: | Symplectic forms in algebraic geometry |

Speaker: | Giulia SaccĂ |

Affiliation: | Member, School of Mathematics |

Date: | Friday, January 30 |

Time/Room: | 1:30pm - 2:30pm/S-101 |

Video Link: | http://video.ias.edu/puiassgs/2015/0130-GiuliaSacc%C3%A0 |

Imposing the existence of a holomorphic symplectic form on a projective algebraic variety is a very strong condition. After describing various instances of this phenomenon (among which is the fact that so few examples are known!), I will focus on the specific topic of maps from projective varieties admitting a holomorphic symplectic form. Essentially, the only such maps are Lagrangian fibrations and birational contractions. I will motivate why one should care about these types of maps, and give many examples illustrating their rich geometry. I will not assume background material, beyond a basic course in algebraic geometry.