Explore the fascinating intersection of topology and neuroscience in this illuminating lecture by Lida Kanari and Kathryn Hess from EPFL. Delve into how topological methods are revolutionizing our understanding of brain structure and function. Discover cutting-edge applications of algebraic topology in analyzing neural networks, brain connectivity, and neuronal morphology. Gain insights into the complex spatial organization of the brain and how topological data analysis is unveiling new perspectives in neuroscientific research. Learn about the potential of these mathematical approaches in advancing our knowledge of brain disorders and cognitive processes. This thought-provoking talk, presented at the prestigious Institut Henri Poincaré in Paris, offers a unique blend of mathematical rigor and neuroscientific discovery, suitable for researchers, students, and enthusiasts in both fields.