Extracting geometric information from Kuznetsov components and application

par Shizhuo Zhang (IMT)

jeudi 11 janv. 2024, 10:30 → 12:30 Europe/Paris

Let X be a not necessarily smooth Fano variety with a non-trivial semi-orthogonal component, called the Kuznetsov component. We introduce three ways to extract geometric information from the Kuznetsov component: moduli theoretically, Hodge theoretically and algebraic theoretically. Then we discuss application to Torelli-type questions and construction of hyperKahler varieties.