Bridging Applied and Quantitative Topology 2022

Explore the intersection of applied and quantitative topology through this comprehensive workshop series featuring twelve expert lectures delivered over five days. Delve into cutting-edge research spanning chirality and embeddability quantification, homotopical decomposition of simplicial complexes, and the applications of topological data analysis in deep learning. Examine persistent homotopy groups of metric spaces, multi-parameter persistence through discrete Morse theory, and the computational aspects of optimal homotopies. Investigate extremal spherical polytopes in relation to Borsuk's conjecture, analyze the geometry and topology of data structures, and study isoperimetric inequalities for Hausdorff contents. Learn from leading researchers including Gunnar Carlsson, Shmuel Weinberger, and other prominent figures in the field as they present their latest findings and methodological advances. Gain insights into discrete homotopy theory applications, information encoding in persistence diagrams, and the geometric properties of function spaces, providing a comprehensive overview of current developments bridging theoretical topology with practical applications.