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A non-commutative view of Fano threefolds

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Arend Bayer
University of Edinburgh
Thu, 10/03/2022 - 13:30 - 14:30

The classification of Fano threefolds of Picard rank one gains more structure when instead of varieties, we consider a natural subcategory of its derived category, now called Kuznetsov component.
I will give an overview of recent results about, and based on, these Kuznetsov components. The methods involve moduli spaces of Bridgeland-stable objects, and equivariant categories.

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