Hodge ideals and Bernstein-Sato polynomial

Speaker:Mingyi Zhang (SIMIS)

Time: 2025-10-22 13:00-18:00
Location: 1310, SIMIS
Zoom Meeting ID:871 6008 9240 Passcode: SIMIS

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.