For more information about this meeting, contact Karl Schwede, Robert Vaughan, Mihran Papikian, Ae Ja Yee.

Title: | A generic vanishing theorem in positive characteristic (joint work with Christopher Hacon) |

Seminar: | Algebra and Number Theory Seminar |

Speaker: | Zsolt Patakfalvi, Princeton University |

Abstract: |

I will present a generic vanishing type theorem in positive characteristic. I will also introduce a new invariant the S-Kodaira dimension which can be thought of as the Frobenius stable
Kodaira dimension. Example applications of the above mentioned generic vanishing type theorems, that I will present, are: 1.) if the S-Kodaira dimension of a smooth variety X over an algebraically
closed field of positive characteristic is zero then the Albanese morphism of X is surjective. In particular, the first Betti number of X is at most the dimension of X 2.) a characteriztaion of
smooth projective varieties birational to ordinary abelian varieties. |

### Room Reservation Information

Room Number: | MB106 |

Date: | 09 / 05 / 2013 |

Time: | 11:15am - 12:05pm |