Recent Advances in Theory and Implementation of Multi-Parameter Persistence

Explore recent advancements in the theory and implementation of multi-parameter persistence in this 51-minute lecture by Luis Scoccola. Delve into the extension of one-parameter persistence constructions to multi-parameter cases, focusing on stable and efficiently computable filtrations for data and discrete descriptors of these filtrations. Witness a demonstration of new interactive clustering software based on multi-parameter persistence. Gain insights into the geometry of representations and their applications in algebraic topology. Learn about the historical context of bar codes and Möbius inversion through referenced work by Abeasis, Del Fra, and Kraft. Understand the speaker's commitment to accurate representation of related work and openness to feedback.