报告题目：Categorical Torelli and Brill-Noether theory for Kuznetsov component

报 告 人：张诗卓（爱丁堡大学）

报告时间：2021年3月31日  16:30-17:30

报告地点：数统院5楼数学研究中心多功能研讨室

报告摘要：

A conjecture of Kuznetsov-Perry states that the equivalence of the Kuznetsov components of ordinary Gushel-Mukai threefolds implies they are birational. We show that the Bridgeland moduli space of -1 class stable objects in the Kuznetsov components is either minimal model of Fano surface of conics or the moduli space of semistable torsion free sheaves MG(2,1 ,5). As a result, we prove the Kuznetsov-Perry's conjecture for general Gushel-Mukai threefolds. This is a joint work with Augustinas Jacovskis and Xun Lin. If time permits, I will talk about the Brill-Noether locus of Bridgeland moduli space in the K uznetsov components and its application to the refined categorical Torelli for all index 1 prime Fano threefolds, joint work with Augustinas Jacovskis.