Speaker: Baiqing Zhu (Columbia University)
Time: 14:00-15:30 August 4, 2023 (Friday)
Place: S302, UCAS (Zhongguancun campus)
Title: Arithmetic Siegel-Weil formula on X_0(N)
Abstract: We give an introduction to the geometric and arithmetic Siegel-Weil formula on the modular curve X_0(N), we also sketch the proof of the arithmetic part by difference formulas on both the geometric side and the analytic side.
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.
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