HERMANN WEYL LECTURES | |

Topic: | The Ax Conjecture and Degenerations |

Speaker: | János Kollár |

Affiliation: | Princeton University |

Date: | Monday, March 12 |

Time/Room: | 3:00pm - 4:00pm/S-101 |

Lecture 4. The Ax conjecture and degenerations. Originating with his studies on the logic of finite fields, James Ax conjectured that every PAC field is $C_1$. The recent proof of this in characteristic 0 is connected with degenerations of rationally connected varieties. Work of Hacon, Hogadi, K., McKernan and Xu.