Shmuel Weinberger - PH(X^Y) and the Geometry of Function Spaces
Offered By: Applied Algebraic Topology Network via YouTube
Course Description
Overview
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.
Syllabus
Introduction
Nonquantitative theorem
Reine Thom
Free loop space
Other functions
Geometric group theory
Example
Discussion
Outro
Taught by
Applied Algebraic Topology Network
Related Courses
An Introduction to Hyperbolic GeometryIndian Institute of Technology Kanpur via Swayam Searching for Hyperbolicity
Joint Mathematics Meetings via YouTube Discrete Homotopy Theory and Applications
Applied Algebraic Topology Network via YouTube From Trees to Barcodes and Back Again - Combinatorial and Geometric Perspectives
Applied Algebraic Topology Network via YouTube Subgroups of Right-Angled Coxeter Groups via Stallings-like Techniques
IMSA via YouTube