Harder-Narasimhan Filtrations of Persistence Modules

Explore the concept of Harder-Narasimhan filtrations in persistence modules through this 50-minute conference talk. Delve into the discrete invariant known as the Harder-Narasimhan type of quiver representations, parameterized by real-valued functions called central charges. Examine the strengths and limitations of Harder-Narasimhan types across various families of quiver representations, including ordinary, ladder, and multi-parameter persistence modules. Gain insights into this advanced topic in applied algebraic topology, presented by Vidit Nanda as part of the Applied Algebraic Topology Network.