Hodge Ideals and Spectrum of Isolated Hypersurface Singularities - Overview

Explore a comprehensive lecture on the relationship between Hodge ideals and the spectrum of isolated hypersurface singularities. Delve into the extension of Nero Budur and Morihiko Saito's findings, connecting spectrum and multiplier ideals to Hodge ideals in the case of isolated singularities. Learn from speaker Youngho Yoon of Sungkyunkwan University as he presents an overview of the paper co-authored with Seung-Jo Jung, In-Kyun Kim, and Morihiko Saito. Gain insights into these important analytic invariants of hypersurface singularities and understand how Hodge ideals serve as a generalization of multiplier ideals. This 55-minute talk, part of a series hosted by the University of Miami, offers a deep dive into advanced mathematical concepts for those interested in algebraic geometry and singularity theory.