Optimization on ManifoldsCovers optimization on manifolds, focusing on smooth manifolds and functions, and the process of gradient descent.
Taylor expansions: second orderExplores Taylor expansions and retractions on Riemannian manifolds, emphasizing second-order approximations and covariant derivatives.
Forcing of Topological EntropyDelves into topological entropy in compact manifolds and Reeb flows, emphasizing the forcing of entropy via cylindrical contact homology.
Retractions: second orderCovers second-order retractions in optimization on manifolds, focusing on smooth curves and their relation to the gradient and Hessian of a function.