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

Title: | On Strongly F-Regular Inversion of Adjunction |

Seminar: | Algebra and Number Theory Seminar |

Speaker: | Omprokash Das, University of Utah |

Abstract: |

In characteristic 0, it is well known that if (X, S+B) is pair, where [S+B]=S is irreducible then (S^n, B_{S^n}) is KLT implies that (X, S+B) is PLT near S and S is normal, where S^n --> S is the normalization and (K_X+S+B)|_{S^n}=K_{S^n}+B_{S^n} is defined by adjunction. The
proof basically follows form the Resolution of Singularities and Kawamata-Viehweg vanishing theorem. Now in characteristic p>0, resolution of singularities is not know in higher dimension (dim X>3) and Kawamata-Viehweg vanishing theorem is known to fail, so we can not expect a similar
proof here. In my talk I will present a proof of a characteristic p>0 analog of the above statement. I will show that if (S^n, B_{S^n}) is Strongly F-Regular then S is normal and (X, S+B) is Purely F-Regular near S. |

### Room Reservation Information

Room Number: | MB106 |

Date: | 10 / 17 / 2013 |

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