# Meeting Details

Title: F-regular vs log terminal surfaces Algebra and Number Theory Seminar Karl Schwede, Penn State 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.