YoVDO

Disk Configuration Spaces and Topological Complexity

Offered By: Applied Algebraic Topology Network via YouTube

Tags

Algebraic Topology Courses Topological Complexity Courses Geometric Topology Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore the fascinating world of disk configuration spaces and topological complexity in this 51-minute lecture by Nick Wawrykow. Delve into the study of configuration spaces of points through the lens of topological complexity, and discover how disk configuration spaces serve as natural generalizations that incorporate both geometry and topology. Focus on the ordered configuration space of n open unit-diameter disks in an infinite strip of width w, denoted as conf(n,w). Examine the topology of this space and learn how it relates to the ordered configuration space of n points in a plane when n is at most w. Investigate the drastic differences that emerge when n exceeds w. Gain insights into the calculation of topological complexity for conf(n,w) and understand its implications in the field of applied algebraic topology.

Syllabus

Nick Wawrykow (6/27/24): Disk configuration spaces and topological complexity


Taught by

Applied Algebraic Topology Network

Related Courses

Introduction to Algebraic Topology (Part-I)
Indian Institute of Technology Bombay via Swayam
Introduction to Algebraic Topology (Part-II)
NPTEL via Swayam
Intro to the Fundamental Group - Algebraic Topology with Tom Rocks Maths
Dr Trefor Bazett via YouTube
Neural Sense Relations and Consciousness - A Diagrammatic Approach
Models of Consciousness Conferences via YouTube
Classification of 2-Manifolds and Euler Characteristic - Differential Geometry
Insights into Mathematics via YouTube