For more information about this meeting, contact John Roe, Dmitri Burago.

Title: | Variation on a theme of Luroth |

Seminar: | Geometry Luncheon Seminar |

Speaker: | Yuri Zarhin, Penn State |

Abstract: |

Let X -> Y be a finite covering of compact Riemann surfaces. It is well known that if X is the Riemann sphere then Y is also the Riemann sphere. (An algebraic version of this result is called a theorem of Luroth.)
It turns out that for a given g>1 a natural generalization of Luroth's theorem holds true only for ``almost all" X of genus g . We discuss explicit examples (and counterexamples). |

### Room Reservation Information

Room Number: | MB114 |

Date: | 10 / 07 / 2009 |

Time: | 12:15pm - 01:15pm |