Claudia Landi - Multi-parameter Persistence from the Viewpoint of Discrete Morse Theory

Explore multi-parameter persistence through the lens of discrete Morse theory in this 44-minute lecture by Claudia Landi. Delve into the challenges of understanding multi-parameter persistent homology modules, including computation, visualization, and interpretation of results. Discover how discrete Morse theory can provide valuable insights by connecting the combinatorial properties of critical cells in multi-filtered data to the algebraic properties of their persistence modules. Learn about ongoing research in this field, including collaborative work with Asilata Bapat, Robyn Brooks, Celia Hacker, and Barbara I. Mahler. Gain a deeper understanding of this powerful tool for topological analysis of multivariate data and its potential applications in data science and computational topology.