Pathologies on the Hilbert scheme of points

Abstract: In the talk I will discuss recent advances in our understanding of singularities and components of the Hilbert scheme of points on a higher-dimensional smooth variety. The key underlying tool, interesting on its own, is the Bialynicki-Birula decomposition in the singular setting. I will mention some open questions.

algebraic geometry

Audience: researchers in the topic

( slides | video )

Stanford algebraic geometry seminar

Series comments: The seminar was online for a significant period of time, but for now is solely in person. More seminar information (including slides and videos, when available): agstanford.com