EVENT DETAILS AND ABSTRACT

Title: Hodge ideals for Q-divisors with weighted homogeneous or nondegenerate isolated singularities
Speaker: Mingyi Zhang
Speaker Info: Northwestern
Brief Description:
Special Note:
Abstract:

In this talk, I will present my work on studying a sequence of infinitely many ideals, which detects singularities of a hypersurface on a smooth complex variety or a complex manifold and measures the Hodge theory of the complement of the hypersurface. These Hodge ideals arise naturally from Saito’s theory on the Hodge filtration of Hodge modules associated to the localization along a hypersurface. I will give a general introduction to Hodge ideals for Q-divisors and show some applications in singularity theory. In particular, I will give explicit formulas of these ideals in some special cases and develop some computational results of various invariants of singularities, e.g., generating level of Hodge filtration, roots of Bernstein-Sato polynomials and Hodge ideal spectrum.