EVENT DETAILS AND ABSTRACT

Title: Introducing Homological Mirror Symmetry
Speaker: Nick Sheridan
Speaker Info: MIT
Brief Description:
Special Note:
Abstract:

Mirror symmetry is a deep relationship, first noticed by string theorists, between algebraic and symplectic geometry. It burst onto the mathematical scene in 1991, when string theorists used it to make concrete mathematical predictions about rational curve counts on the quintic three-fold. In 1994 Kontsevich introduced a powerful and deep generalization of mirror symmetry, called `homological mirror symmetry'. He proposed that one should view mirror symmetry as an equivalence of categories: the Fukaya category (on the symplectic side) and the category of coherent sheaves (on the complex side). In the first half of the talk I will give an overview of mirror symmetry, and in the second half I will introduce the Fukaya category and homological mirror symmetry.