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Shafarevich Seminar
April 2, 2019 15:00, Moscow, Steklov Mathematical Institute, room 540 (Gubkina 8)
 


2-categorical adjunctions for Fourier-Mukai kernels

T. Logvinenko

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Abstract: I will discuss a new approach which should allow one to naturally lift to the level of Fourier-Mukai kernels many useful structures which exist on the level of exact functors between derived categories of schemes: 2-categorical adjunctions, pseudofunctoriality, base change, and projection formula isomorphisms, etc. We obtain explicit and easy to understand formulas which can be readily used in computations.
 
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