Du Bois complexes and singularities
SEMINARS: HARVARD-MIT ALGEBRAIC GEOMETRY
When: October 22, 2024
3:00 pm - 4:00 pm
Where: Science Center 507
Address:
1 Oxford Street, Cambridge, MA 02138, United States
Speaker: Anh Duc Vo - Harvard University
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.