For more information about this meeting, contact Robert Vaughan, Mihran Papikian, Ae Ja Yee.

Title: | F-regular vs log terminal surfaces |

Seminar: | Algebra and Number Theory Seminar |

Speaker: | Karl Schwede, Penn State |

Abstract: |

Log terminal singularities are key building blocks in the classification of algebraic varieties. In characteristic p > 0, they seem closely related to F-regular singularities, introduced independently in tight closure theory. It is easy to see that F-regular singularities are log terminal, but the converse is generally false (although true in ``big characteristic''). We make this precise for surface singularities, for every pair $(X, D)$ where the coefficients of $D$ come from a certain set, we find a $p > 0$ depending only on the coefficients of $D$ such that if $(X, D)$ is log terminal, then $(X, D)$ is also $F$-regular.
This is joint work with Paolo Cascini and Yoshinori Gongyo. |

### Room Reservation Information

Room Number: | MB106 |

Date: | 04 / 24 / 2014 |

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