Persistent Homology without Hand-waving

Zoltan Kocsis (The University of Manchester)

TBC,

Persistent homology can determine certain topological properties of embedded submanifolds of Euclidean space from a sample of finitely many points. Unfortunately, many talks on persistent homology gloss over the mathematical details and focus on applications to science, industry, or medical research. Here we provide a gentle but rigorous introduction to the subject, directing our attention to results and theorems that interest pure mathematicians. No prior knowledge of homology theory is assumed.

Import this event to your Outlook calendar
▲ Up to the top