Steenrod Squares and Data Science - Exploring Connections in Algebraic Topology

Explore the potential connection between Steenrod squares and data science in this 49-minute conference talk by Michael Postol for the Applied Algebraic Topology Network. Delve into the historical development of algebraic topology as a classifier, tracing its evolution from homology to cohomology and Steenrod squares. Learn how increasing algebraic complexity has enabled the solution of more challenging geometric problems. Examine examples of issues that require more sophisticated algebraic structures and consider the open question of whether cohomology and Steenrod squares can resolve complex data science classification problems beyond the capabilities of persistent homology. Gain insights into the fundamental concepts, challenges, and potential applications of these advanced algebraic tools in modern data analysis. Basic knowledge of abstract algebra and homology is beneficial, but all relevant terms will be defined throughout the talk.