Theoretical Physics Seminar: Mauricio Romo

Title: GLSM, Homological projective duality and nc resolutions

Abstract: Kuznetsov's Homological projective duality (HPD) in algebraic geometry is a powerful theorem that allows to extract information about semiortogonal decompositions of derived categories of certain varieties. I will review it and give a GLSMs perspective based on categories of B-branes. I will focus mostly on the case of Fano (hypersurfaces) manifolds. In general, for such cases the HPD can be interpreted as a non-commutative (nc) resolution of a compact variety. I will give a physical interpretation of this fact and present some conjectures.