This course explores the application of topology concepts in neuroscience to understand information embedding in neural circuits. The learning outcomes include understanding manifolds, dimensions, and the number of holes in high-dimensional representations. The course teaches skills in interpreting neural computations and analyzing neural dynamics. The teaching method involves intuitive explanations and visuals. The intended audience includes students and professionals interested in neuroscience, mathematics, and cognitive science.
Overview
Syllabus
Introduction
- Brief neuroscience background
- Topology and the notion of a manifold
- Dimension of a manifold
- Number of holes genus
- Putting it all together
Taught by
Artem Kirsanov
