Abstract: The quantum sheaf cohomology (QSC) is a deformation of the classical sheaf cohomology ring of a holomorphic vector bundle $E$. It generalizes the Morrison-Plesser style quantum cohomology by replacing the tangent bundle with $E$ and shares its physical motivation from Witten's gauged linear sigma models. In this talk I will first explain the QSC for toric varieties and the correlator formula, and then discuss my work in progress on QSC for toric complete intersections.
Dr. Lu got Ph. D from Univ. of Penn, and once did postdoctoral work in Oxford University and other famous institutions. His working area is algebraic geometry and mathematical physics.
