Seung-Jo Jung, Hodge Ideals and Spectra of Hypersurface Singularities

Recently Mustata-Popa introduced a generalisation of multiplier ideals, which is called Hodge ideals. This talk introduces the Hodge ideals and explains the relations with other invariants, e.g. Bernstein-Sato polynomials, Hodge spectra, log canonical thresholds, minimal exponents etc. Mainly this talk concerns the relation between Hodge ideals and Hodge spectra. This talk is based on the joint paper with I-K. Kim, M. Saito, and Y. Yoon.