Extracting geometric information from Kuznetsov components and application
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Shizhuo Zhang(IMT)
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Europe/Paris
Description
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.