Algebraic Geometry Seminar

Ilya Smirnov
University of Virginia
Hilbert-Kunz multiplicity
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.
Wednesday January 29, 2014 at 4:00 PM in SEO 427
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