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Derived categories of Fano manifolds of degree 10

Prof.
Alexander Kuznetsov
Institution: 
Steklov Mathematical Institute, Moscow
Location: 
A-136
Schedule: 
Tuesday, July 29, 2014 - 11:30 to 13:00
Abstract: 

I will discuss the structure of derived categories of Fano manifolds of degree 10. They admit a semiorthogonal decomposition with several exceptional objects (coming from the ambient Grassmannian) and a nontrivial component, which in the case of even dimension behaves like derived category of a K3 surface. Conjecturally, the varieties related by the correspondence of the previous talk have equivalent nontrivial components. I will prove this in some cases. This is a work in progress joint with Alex Perry.

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