Abstract:

Mirror symmetry arose from a connection between A-model and B-model string theory and uncovered a deep link between symplectic and algebraic geometry. Kontsevich suggested the study of this phenomenon as equivalence between certain derived categories: Fukaya categories and categories of coherent sheaves. In this talk we will cover just enough background and definitions to be able to calculate and understand some simple examples of this homological perspective on mirror symmetry.

Video: