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NCTS Seminar in Algebraic Geometry
 
13:30 - 15:00, January 8, 2024 (Monday)
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)


 

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