# On the derived category of the adjoint Grassmannian of type F

@inproceedings{Smirnov2021OnTD, title={On the derived category of the adjoint Grassmannian of type F}, author={Maxim Smirnov}, year={2021} }

We construct a full rectangular Lefschetz collection in the derived category of the adjoint Grassmannian in type F4. This gives the first example of a full exceptional collection on this variety and also proves a conjecture due to Alexander Kuznetsov and the author that relates the structure of the derived category of coherent sheaves to the small quantum cohomology in the case of adjoint non-coadjoint varieties.

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Semiorthogonal decompositions in families

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We discuss recent developments in the study of semiorthogonal decompositions of algebraic varieties with an emphasis on their behaviour in families. First, we overview new results concerning… Expand

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