Kuznetsov components as non-commutative curves
Prof. Chunyi Li
2023-08-04 15:40-17:10
S302(UCAS)
Speaker: Prof. Chunyi Li (University of Warwick)Time: 15:40-17:10 August 4, 2023 (Friday)
Place: S302, UCAS (Zhongguancun campus)
Title: Kuznetsov components as non-commutative curves
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.
