Speaker
Ambrose Yim
(Cardiff)
Description
Given finitely many samples on a manifold, can we infer its topological invariants? We discuss some state of the art methods and theoretical bounds for inferring the homology of a manifold from a sufficiently dense point sample. In particular, we describe how these methods are motivated by dynamical systems and Morse theory. Conversely, we also show how these methods can help infer topological invariants associated to gradient dynamics from finite data.
