Neural Manifolds - The Geometry of Behaviour

Explore the fascinating intersection of topology and neuroscience in this 23-minute video lecture on neural manifolds and the geometry of behavior. Gain intuitive insights into how concepts from "rubber geometry" can be applied to understand information embedding in high-dimensional neural circuit representations. Delve into key topics including a brief neuroscience background, topology and manifolds, manifold dimensionality, and the number of holes (genus) in topological structures. Follow along as the presenter synthesizes these concepts to illuminate our understanding of neural information processing and behavior. Benefit from numerous animations, simulations, and references to cutting-edge research in computational neuroscience and topology.

Introduction
- Brief neuroscience background
- Topology and the notion of a manifold
- Dimension of a manifold
- Number of holes genus
- Putting it all together