A Topological Study of the Space of Planar Pentagons

Explore the fascinating world of topological data analysis and its applications in molecular conformation spaces through this insightful 35-minute talk. Delve into the space of planar pentagons, serving as a toy model for conformation spaces, and discover how non-trivial topology can impact dimensionality reduction in dynamics modeling. Learn about general methods that leverage topological data analysis for effective dimensionality reduction and visualization techniques. Gain valuable insights into the challenges posed by complex molecular structures and the innovative approaches used to address them in this presentation from the Applied Algebraic Topology Network.