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Shmuel Weinberger - PH(X^Y) and the Geometry of Function Spaces

Offered By: Applied Algebraic Topology Network via YouTube

Tags

Persistent Homology Courses Geometry Courses Geometric Group Theory Courses

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

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