Braid Morse Homology aims to be a bridge between the study of certain parabolic PDEs and Algebraic Topology. The idea is to extend finite dimensional Morse Theory to the case of certain objects known as braids. Braids are in some sense a generalisation of periodic functions that allows us to consider multiple periodic functions simultaneously. The Homology theory can give some nice forcing results on periodic solutions of the PDE.

The problem with the Braid Morse Homology is that it is in general very hard to compute, however a very nice discretisation makes it so we can actually compute these objects! In this talk I will discuss braids, a very short introduction to Morse Homology and explain in what way we can compute the object.