Topology of Algebraic Varieties | |

Topic: | Derived categories of cyclic covers and their branch divisors |

Speaker: | Alexander Perry |

Affiliation: | Harvard University |

Date: | Wednesday, April 29 |

Time/Room: | 11:15am - 12:15pm/S-101 |

Video Link: | http://video.ias.edu/tav/2015/0429-AlexanderPerry |

Given a variety $Y$ with a rectangular Lefschetz decomposition of its derived category, I will discuss an interesting relation between the derived categories of a cyclic cover of $Y$ and its branch divisor. As examples, I will describe the cases of cyclic cubic fourfolds and "special Gushel--Mukai varieties," where we get a description of the equivariant category of certain K3 categories. This is joint work with Alexander Kuznetsov.