GLSM, Homological projective duality and nc resolutions

09/30/2022 9:30 am - 10:30 am
Charles Doran Mauricio Romo Tsung-Ju Lee
CMSA Room G10
Address: CMSA, 20 Garden Street, Cambridge, MA 02138 USA

Algebraic Geometry in String Theory Seminar

Speaker:  Mauricio Romo, Tsinghua University

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 semiorthogonal decompositions of derived categories of certain varieties. I will 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.