YoVDO

Enrique Torres-Giese - Sequential Motion Planning Assisted by Group Actions

Offered By: Applied Algebraic Topology Network via YouTube

Tags

Topological Complexity Courses Algebraic Topology Courses

Course Description

Overview

Explore sequential motion planning assisted by group actions in this 38-minute lecture from the Applied Algebraic Topology Network. Revisit the concepts of effectual and effective TC in the context of sequential motion planning, and discover how group actions can be incorporated into the study of the motion planning problem. Learn about orbital topological complexity, a third version of TC that integrates group actions into planners. Examine the relationships between these invariants and the TC of quotient spaces. Delve into calculations for actions of the group of order two on orientable surfaces and spheres. Gain insights into effective DC properties, un-effectual DC properties, and practical examples throughout the presentation.

Syllabus

Introduction
Title
Group Actions
Effective DC
Effective DC Properties
Un effectual DC
Properties
Example
Orbital TC


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
Steve Scheirer - Relative Topological Complexity and Configuration Spaces
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