Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Prof. Chunyi Li,University of Warwick
Inviter:
Title:	Kuznetsov components as non-commutative curves
Language:	Chinese
Time & Venue:	2023.08.04 15:40-17:10 S302, UCAS (Zhongguancun campus)
Abstract:	Let X be a smooth projective Fano threefold with Picard number one. When its index is not 1, or it is with index 1 and genus greater than 5, the Kuznetsov component of X, Ku(X), admits a stability condition in the sense of Bridgeland. The moduli space of stable objects in Ku(X) behaves similarly to that of the stable sheaves on smooth projective curves. I will talk about some backgrounds, motivations, and possibly some partial results of an ongoing joint project with Laura Pertusi and Xiaolei Zhao.