Joint IAS/Princeton University Number Theory Seminar | |

Topic: | Most odd degree hyperelliptic curves have only one rational point |

Speaker: | Bjorn Poonen |

Affiliation: | Massachusetts Institute of Technology |

Date: | Thursday, March 26 |

Time/Room: | 4:30pm - 5:30pm/S-101 |

Video Link: | http://video.ias.edu/puias/2015/0326-BjornPoonen |

We prove that the probability that a curve of the form $y^2 = f(x)$ over $\mathbb Q$ with $\deg f = 2g + 1$ has no rational point other than the point at infinity tends to 1 as $g$ tends to infinity. This is joint work with Michael Stoll.