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Abstract:
Homological projective duality theory, introduced by Kuznetsov, is a powerful tool for investigating the bounded derived categories of projective varieties together with their linear sections. It provides interesting semiorthogonal decompositions as well as derived equivalences.
In this talk, I will give a brief introduction to this theory and describe how homological projective duality works in the case of Grassmannian Gr(3,6). This is joint work in progress with Vladimiro Benedetti.