Shihoko Ishii : Mather discrepancy and arc spaces

Posted by , part of the Algebraic Geometry Seminar.

At

Oct. 21, 2010, 4 p.m.

In

SEO 636

Abstract

The aim of this talk is to show that Mather discrepancy is a reasonable invariant. By using Mather discrepancy, we can define a new log-canonical threshold and minimal log discrepancy for an arbitrary singularity. We will show the formula for the log-canonical threshold and minimal log discrepancy in terms of arc space, and inversion of adjunction in rather general settings.