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MAT 620:Topics in Topology: The Fukaya Category
Course Instructor: Mark McLean
Tuesday, Thursday 10:00am-11:30am, Physics P123
Introduction to the Course
The aim of this course is to introduce an invariant of a symplectic
manifold called the Fukaya category and to describe a few applications
of this invariant. This is a `category' whose objects are built from
Lagrangian submanifolds and whose morphisms come from intersection
points of these Lagrangians along with additional data.
In the first part of the course we will define Lagrangian Floer
cohomology and give some dynamical applications of this invariant.
After that we will define the Fukaya category in the simplest setting
and state some additional properties. At the end of the course we will
explain a couple of applications and also sketch some of the basic
ideas behind homological mirror symmetry. This is an advanced course.
You need to know some symplectic geometry and some complex geometry.
Tuesday 2:30pm-3:30pm (Math 4-101B)
Wednesday 12pm-1pm (Math 4-101B)
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