Ilya Smirnov : Hilbert-Kunz multiplicity

Posted by Kevin Tucker , part of the Algebraic Geometry Seminar.

At

Jan. 29, 2014, 4 p.m.

In

SEO 427

Abstract

Hilbert-Kunz multiplicity is an invariant of a local ring of positive characteristic introduced by Paul Monsky. In the last 15 years, the Hilbert-Kunz theory became an active subject of research driven by its connection to tight closure, singularity theory and comparison to the classical theory of Hilbert-Samuel multiplicity. In this talk, I will compare these multiplicity theories focusing on their use to study singularities.