Radu Laza, Stony Brook University
Two standard notions of singularities are rational and Du Bois singularities. In this talk, I will discuss recent generalizations of these notions – the higher rational and higher Du Bois singularities. After reviewing the definitions and basic properties of these classes of singularities, I will discuss about some concrete geometric applications, specifically to the geometry of moduli spaces of Calabi-Yau varieties.
This is joint work with R. Friedman.