Introductory Workshop: Noncommutative Algebraic Geometry: "Detecting non-Fourier-Mukai functors"
Presenter
February 5, 2024
Keywords:
- Noncommutative geometry
- derived categories
- Derived Algebraic Geometry
- Infinity Categories
- Deformation Theory
- Categorical Resolutions
- noncommutative resolutions
MSC:
- 14A22
Abstract
Fourier-Mukai functors can be thought of as geometric functors. We recall some results on their structure and the construction of A. Rizzardo, M. Van den Bergh and A. Neeman of candidate non-Fourier-Mukai functors before presenting a new interpretation of the non-enhanceability proof and avenues for generalizing it.