PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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