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Algebraic Geometry Seminar: Higher multiplier ideals

Ruijie Yang (MPI, Bonn)
Wednesday, March 8, 2023
4:00-5:30 PM
4096 East Hall Map
In this talk, we will discuss the construction of a family of ideal sheaves associated to any Q-divisor on a complex manifold X, indexed by an integer indicating the Hodge level, so that we can view the usual multiplier ideals as the “lowest piece”. Their local and global properties are established using various kinds of D-modules. It is closely related to, but different from, Mustata-Popa’s theory of Hodge ideals. As an application, we give a partial solution of the Riemann-Schottky problem via the singularity of theta divisors on principally polarized abelian varieties. This is based on the joint work in progress with Christian Schnell.
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics, Algebraic Geometry Seminar - Department of Mathematics