Symplectic Topology and Topological Data Analysis

Symplectic topology studies a concept of space which originates in classical mechanics and is studied extensively in a relation to theoretical physics such as string theory. Topological Data Analysis is a rapidly growing field in applied mathematics. The goal of my talk is to explain how these a priori very different topics meet. No knowledge in symplectic geometry is required. I plan to start by explaining basic notions in symplectic geometry and rapidly explain Floer homology.