Explore the persistent homology of function spaces in this 53-minute lecture by Shmuel Weinberger. Delve into the central topic of algebraic topology, focusing on specific examples where geometric considerations provide illuminating insights. Learn about nonquantitative theorems, Reine Thom, free loop spaces, and geometric group theory. Gain a deeper understanding of how these concepts relate to the homology of function spaces and their persistent homology. Engage with the discussion and examples presented to enhance your knowledge of this fundamental area in algebraic topology.
Shmuel Weinberger - PH(X^Y) and the Geometry of Function Spaces
Applied Algebraic Topology Network via YouTube
Overview
Syllabus
Introduction
Nonquantitative theorem
Reine Thom
Free loop space
Other functions
Geometric group theory
Example
Discussion
Outro
Taught by
Applied Algebraic Topology Network
