Topics in Geometry: Mirror Symmetry
An MIT graduate course exploring the mathematics of mirror symmetry, aimed at students who already know symplectic and complex geometry at the level of MIT's 18.966. The course builds up the geometric machinery needed to state mirror symmetry in its various mathematical forms, covering ideas from symplectic topology and complex algebraic geometry as they become necessary, with the level of rigor varying by topic. Materials on MIT OpenCourseWare include lecture notes and a reading list tied to the course's progression through the subject. There is no described problem set sequence or exam, reflecting its character as an advanced topics seminar rather than an introductory lecture course. As with other MIT OpenCourseWare offerings, all materials are free to access under a Creative Commons license, with no certificate offered. It suits someone who already has a graduate foundation in geometry and wants to see how symplectic and complex perspectives on a space can be shown to encode the same underlying structure.