Time:16:00-17:30, Tuesday, May 19 2026
Venue:E14-301
Speaker:Mingyi Zhang, SIMIS
Title:Hodge ideals and Bernstein-Sato polynomial
Abstract:A theorem of Ein, Lazarsfeld, Smith and Varolin gave a connection between jumping numbers of multiplier ideals and roots of Bernstein-Sato polynomials of a regular function. I will first talk about a generalization of multiplier ideals, i.e. Hodge ideals, and give an explicit computation of Hodge ideals for some special types of hypersurface singularities, and show how this computation relates to the generalization of E-L-S-V's result.