Joint Harvard-CUHK-YMSC Differential Geometry Seminar: Quantum cohomology as a deformation of symplectic cohomology

Let X be a compact symplectic manifold, and D a normal crossings symplectic divisor in X. We give a criterion under which the quantum cohomology of X is the cohomology of a natural deformation of the symplectic cochain complex of X \ D. The criterion can be thought of in terms of the Kodaira dimension of X (which should be non-positive), and the log Kodaira dimension of X \ D (which should be non-negative). We will discuss applications to mirror symmetry. This is joint work with Strom Borman and Umut Varolgunes.

Zoom Link: https://cuhk.zoom.us/j/94377988344

Meeting ID: 943 7798 8344
Passcode: 20211117