Introduction to mirror symmetry

Abstract:

We decided that it would be nice if everyone in the algebraic geometry group gave a talk or two to give a flavour of their research interests. I volunteered to go first and immediately realised that I would need to give (at least) a lecture of background first. So this will be fairly basic: I will remind you about Calabi-Yau manifolds, the Kahler cone and periods, and give a rough statement of mirror symmetry as formulated by Candelas et al: coefficients of series expansions of periods give enumerative invariants of the mirror.