Speaker: Anh Đức Võ (Harvard University)

Title: Du Bois complexes and singularities

Abstract:

In this talk, I will discuss the notion of Du Bois complexes and provide an overview of classical notions: rational and Du Bois singularities. I will then discuss their recent extensions to k-rational and k-Du Bois singularities, both for local complete intersections (LCIs) and non-LCI varieties. Additionally, I will discuss results on the injectivity and vanishing properties of Du Bois complexes in the context of these generalizations. This talk is based on joint works with Mihnea Popa, Wanchun Shen, and Sridhar Venkatesh.