For more information about this meeting, contact Stephanie Zerby.

Title: | The Inverse Galois Problem for PSL_2(F_p) |

Seminar: | Job Candidate Talk |

Speaker: | David Zywina |

Abstract Link: | http:// |

Abstract: |

The Inverse Galois Problem asks whether every finite group occurs as
the Galois group of some extension of the rationals. This problem is
still wide open, even in the special case of simple groups. In this
talk, we will explain why each of the simple groups PSL_2(F_p) occurs
as a Galois group; these are the "simplest" simple groups for which
the Inverse Galois Problem was not completely settled. Our Galois
extensions will arise by studying the cohomology of a well-chosen
surface. An important role will also be played by the L-functions of
certain elliptic curves. |

### Room Reservation Information

Room Number: | MB114 |

Date: | 01 / 15 / 2013 |

Time: | 03:30pm - 04:45pm |