Explore optimization techniques on smooth manifolds in this comprehensive lecture by Nicolas Boumal from EPFL. Delve into geometric methods in optimization and sampling, focusing on the manopt toolboxes and their applications. Gain insights into the fundamental concepts of optimization on manifolds, as presented in Boumal's book. Learn how these techniques can be applied to various fields, including machine learning, computer vision, and signal processing. Discover the power of geometric optimization methods and their potential to solve complex problems in high-dimensional spaces.