A first look at Floer homology

This is the first meeting of the reading seminar on mirror symmetry.

The first goal is to we will cover is the theory of Fukaya category, which is an important construction in A-side of mirror symmetry. The goal is to able to handle this object in practice, for example, to understand structures of Fukaya categories of complex plane/ cylinder/ simple curves/surfaces. We will start from the paper "A beginner's introduction to Fukaya categories" by D. Auroux. To start with, we discuss Floer homology required for definition of the Fukaya category.