Topological Data Analysis of Spatial Systems

Explore topological data analysis (TDA) and its applications in spatial systems through this comprehensive lecture from the Topos Institute Colloquium. Discover how topology can be used to quantify the "shape" of data, with a particular focus on persistent homology (PH) and its ability to identify dimensional holes in datasets. Learn through practical examples including analyses of voting data, polling site locations, and fascinating studies of spider web construction under various drug influences. Gain insights into how mathematical concepts from topology can be applied to understand and analyze real-world spatial systems and their underlying patterns.