Algebraic Geometry Working Seminar

Tuesday, September 17, 2024 11:00 am - 12:00 pm EDT (GMT -04:00)

Kaleb D Ruscitti, University of Waterloo

Introducing the Log Canonical Threshold of a Singularity

Given a variety X, an ideal sheaf a, and a point p in X, the log canonical threshold of a at p is a birational invariant which generalizes the order of a. It appears in asymptotic expansions of certain intergrals, in the minimal model program for log-canonical pairs, and in many other algebraic geometry contexts.   In this seminar, I will give an introduction to this invariant, following the IMPANGA Lecture Notes on Log Canonical Thresholds by Mircea Mustață.

MC 5403