Sistemas Dinâmicos - The topology of a manifold vs the combinatorics of digraphs yielded by suitable dynamics

Morse digraphs, Lyapunov digraphs, circular Morse digraphs and
circular Lyapunov digraphs are combinatorial tools associated with gradientlike
flows on manifolds. This talk is intended to be an informal introduction to
these objects and a discussion around the topological information (on the
underlying manifold) they carry.