Applied Topology Seminar

Finitely presented multiparameter persistence modules are a natural target category for encoding homological invariants, but comparing such modules requires choosing a notion of distance. Our goal is to develop a zoo of distances on multiparameter persistence modules, capturing both the algebraic features of the representation category as well as the geometry of the parameter space. The parameters of this construction make the comparison flexible by capturing different notions of noise and similarity. This is joint work with Jens Agerberg and Wojciech Chachólski.