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Weighted Hodge ideals

Algebraic Geometry Seminar

Weighted Hodge ideals
Series: Algebraic Geometry Seminar
Location: Online
Presenter: Sebastián Olano, University of Toronto

AbstractWeighted Hodge ideals are a generalization of deeply studied objects in birational geometry: multiplier ideals and the adjoint ideal. They appear in the study of the sheaf of functions of a smooth variety with poles along a hypersurface. This sheaf is endowed with two filtrations according to the theory of Mixed Hodge modules developed by M. Saito: the Hodge and weight filtrations. Weighted Hodge ideals arise when studying these two filtrations and give refined information about the singularities of the hypersurface. In this talk, I will present some results about weighted Hodge ideals and their applications to the study of singularities of a hypersurface.

Zoom ID: https://arizona.zoom.us/j/83621467612