Room 515, Cosmology Building, National Taiwan University + Zoom, Physical+Online Seminar
(實體+線上演講 台灣大學次震宇宙館515研討室+ Zoom)
Hilbert Schemes of Points on Canonical Surfaces
Ryo Yamagishi (University of Bath)
Abstract
The celebrated result of Fogarty claims that the Hilbert scheme of n points on a smooth surface is a smooth variety of dimension 2n. In this talk, as an analogue of this result, I will show that the Hilbert scheme of n points on a normal surface with canonical singularities is a normal variety of dimension 2n. The proof is done by realizing the Hilbert scheme for a specific surface singularity as a Nakajima quiver variety. This talk is based on joint work with Alastair Craw.
Link information
zoom ID:838 7836 1163
passcode:714285
Organizer: Hsueh-Yung Lin (NTU)