Algebraic Tools for Multiparameter Persistent Homology

Explore advanced algebraic techniques for analyzing multiparameter persistent homology in this 58-minute lecture by Hal Schenck. Delve into the application of primary decomposition and multigraded algebra to examine the multiparameter persistent homology introduced by Carlsson-Zomorodian. Gain insights through detailed descriptions and examples not typically found in standard topology resources. Learn about the collaborative research conducted with Heather Harrington, Nina Otter, and Ulrike Tillmann, as published in SIAM Journal on Applied Algebra and Geometry. Enhance your understanding of applied algebraic topology and its intersection with persistent homology in this comprehensive presentation from the Applied Algebraic Topology Network.