Steve Scheirer - Relative Topological Complexity and Configuration Spaces

Offered By: Applied Algebraic Topology Network via YouTube

Course Description

Overview

Explore the concept of relative topological complexity and its applications to configuration spaces in this 50-minute lecture by Steve Scheirer. Delve into joint work with Bryan Boehnke and Shuhang Xue as the speaker introduces key definitions, standard results, and homotopy invariance. Learn about the challenges in configuration spaces and examine various solutions, including a more general approach. Gain insights into this advanced topic in applied algebraic topology through detailed examples and a comprehensive outline covering everything from basic definitions to complex problem-solving techniques.

Syllabus

Intro
Overview
Outline
Definition of TC
Definition of Relative TC
Standard TC Results
Relative TC Results
Homotopy Invariance
Configuration Spaces
The problem
Another solution
Examples
A more general solution

Taught by

Applied Algebraic Topology Network

Related Courses

Autodiagnosis and the Dynamical Emergence Theory of Basic Consciousness
Santa Fe Institute via YouTube Surfaces in 3-Manifolds and the Thurston Norm
Fields Institute via YouTube Enrique Torres-Giese - Sequential Motion Planning Assisted by Group Actions
Applied Algebraic Topology Network via YouTube Jamie Scott - Applications of Surgery to a Generalized Rudyak Conjecture
Applied Algebraic Topology Network via YouTube Effectual Topological Complexity
Applied Algebraic Topology Network via YouTube