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Stability conditions and cubic fourfolds

Algebraic Geometry and Number Theory

Speaker: Alex Perry, Columbia
Location: 2112 MSB
Start time: Wed, Feb 27 2019, 1:10PM

Kuznetsov showed the derived category of a cubic fourfold contains a special subcategory which can be thought of as a "noncommutative K3 surface". The goal of this talk is to describe the structure of moduli spaces of Bridgeland stable objects on this noncommuative K3 surface, together with several applications. This is joint work with Bayer, Lahoz, Macri, Nuer, and Stellari.