Categorical absorption of singularities
Recent Developments in Noncommutative Algebraic Geometry April 08, 2024 - April 12, 2024
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Categorical absorption of singularities
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.
Categorical absorption of singularities
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