Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
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Moduli of semistable objects on Kuznetsov components of Fano varieties
The derived category of a Fano variety sometimes contains an interesting admissible subcategory, known as the Kuznetsov component. Moduli spaces of Bridgeland semistable objects on the Kuznetsov component provide many examples to study, often generalizing constructions from classical algebraic geometry. In this talk, I will review several cases of Fano threefolds and fourfolds, and explain how moduli spaces on their Kuznetsov components behave similarly to moduli of sheaves on curves and surfaces. From this perspective, these Kuznetsov components can be viewed as noncommutative varieties.
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