For more information about this meeting, contact Robert Vaughan.

Title: | Zero Cycles on Principal Homogeneous Spaces |

Seminar: | Algebra and Number Theory Seminar |

Speaker: | Jodi Black, Bucknell University |

Abstract: |

Jean Pierre Serre has asked the following: "Let $k$ be a field, let $G$ be a connected linear algebraic group over $k$ and let $X$ be a principal homogeneous space under $G$ and over $k$. If $X$ admits a zero cycle of degree one, does $X$ have a $k$-rational point?" We use Galois Cohomology to study this question and produce a positive answer in special cases. We also consider possible extensions of this result to zero cycles of more general degree. |

### Room Reservation Information

Room Number: | MB106 |

Date: | 09 / 29 / 2011 |

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