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事件名 TIMS Seminar
開始日時 2022年 12月 29日 星期四   13:30 (GMT+08:00)
結束日時 2022年 12月 29日 星期四   14:30 (GMT+08:00)
相關場所 Room 201, Astronomy and Mathematics Building
相關人員
詳細內容 Speaker: Tzu-Yang Chou, University of Edinburgh
Title: Kuznetsov components of derived categories and constructions of stability conditions on them (II)
Abstract: In the first talk we introduced the Kuznetsov components and proved a general method to construct an induced stability condition on a semiorthogonal component. In this talk, we will focus on one of its applications: the existence of Bridgeland stability conditions on Kuznetsov components of smooth Fano threefolds. We will assume some technical results such as Bogomolov-Gieseker inequality, and then construct a weak stability on the derived category of coherent sheaves satisfying the assumptions of the theorem (whereas the existence of stability conditions is known, they may not descend to Ku in general), which consists of a rotation of stability function and a double tilted heart. Finally we will apply this to Fano threefolds of index one and low genus as an example to exhibit why we need the double tilt and how we choose the torsion pair.
發表者 Assistant editor
類別 公開事件
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