## Brian Forbes : COE Lecture Series

### Title: Toric Mirror Symmetry

This is a review focused on mirror symmetry for noncompact toric varieties. We first describe the connection between mirror symmetry and period integrals, using the quintic and the canonical bundle over P^2 to illustrate the general theory. We then move on to two recent topics in local mirror symmetry: extended Picard-Fuchs systems, and compactifications in local mirror symmetry.