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November 2, 2023 09:30, Birational Geometry and Quantum Invariants. Simons Center for Geometry and Physics. 30 Oct.–3 Nov. 2023  


Categorical absorption of singularities

Alexander Kuznetsov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
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MP4 2,125.7 Mb

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Abstract: Resolution of singularities from the categorical point of view is an operation that replaces the derived category of a singular variety by a bigger smooth and proper triangulated category. Absorption of singularities, on a contrary, replaces the derived category of a singular variety by a smaller smooth and proper triangulated category. In the talk I will introduce P-infinity objects and show how they can be used to absorb singularities of nodal varieties.

Language: English

Website: https://scgp.stonybrook.edu/archives/39941
 
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