Topology Seminar | Wanchun Shen

Title: Du Bois complexes and higher singularities

Abstract: We give a gentle introduction to the theory of Du Bois complexes (which is the cdh sheafification of the Kähler differentials) and Du Bois singularities. We explain how recent development of Hodge theory leads to a better understanding of the Du Bois complexes, and to the introduction and investigation of higher Du Bois singularities. We end with some speculations of how these developments might be useful for the study of K-regularities in algebraic K-theory.

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