# Homological Projective Duality for the Pl\"ucker embedding of the Grassmannian

@inproceedings{Doyle2021HomologicalPD, title={Homological Projective Duality for the Pl\"ucker embedding of the Grassmannian}, author={Bradley Doyle}, year={2021} }

We describe the Kuznetsov component of the Plücker embedding of the Grassmannian as a category of matrix factorizations on an noncommutative crepant resolution (NCCR) of the affine cone of the Grassmannian. We also extend this to a full homological projective dual (HPD) statement for the Plücker embedding. The first part is finding and describing the NCCR, which is also of independent interest. We extend results of Špenko and Van den Bergh to prove the existence of an NCCR for the affine cone…

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