Manifold
Learning Talks

Reference Texts

• "Geodesic Convex Optimization: Differentiation on Manifolds, Geodesics, and Convexity" by Nisheeth Vishnoi
• Milnor, John W., Michael Spivak, and Robert Wells. Morse Theory. Princeton, New Jersey: Princeton University Press, 1969.

List of Talks

1. Topological and Differentiable Manifolds

   This talk embellishes content from section 2 of the Vishnoi manuscript.
   Here is the video.

2. Differentiable Manifolds and the Uniqueness of Parallel Transport

   This talk covers most of sections 2 and 3 from the Vishnoi manuscript, as well as section 8 of Milnor.
   Here is the video.

3. The Geodesic Equation

   This talk cherrypicks topics from sections 8 and 9 of Milnor.
   Here is the video.

4. Computations with Concrete Examples

   Here is the video.

5. Positive-Semidefinite Matrices of Fixed Rank
   (by Erasmo Tani)

   Important characteristics of the manifold of PSD matrices of fixed rank.
   Here is the video.