Pathologies on the Hilbert scheme of points

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.

The synchronous discussion for Joachim Jelisiejew’s talk is taking place not in zoom-chat, but at https://tinyurl.com/2021-05-14-jj (and will be deleted after ~3-7 days).