CIS 610, Summer 1, 2013

Brief description:

This course covers some basic material on linear algebra, manifolds, Riemannian metrics, Lie groups and Lie algebras, keeping in mind applications of these theories to robotics, computer vision, and machine learning. The treatment will be rigorous but we will try very hard to convey intuitions and to give many examples illustrating all these concepts.

Syllabus:

  1. Linear Algebra
  2. Manifolds, Tangent Spaces, Cotangent Space
  3. Lie Groups, Lie Algebra, Exponential Map
  4. Metrics and curvature on Lie groups
  5. Specific Groups, Manifolds and Applications

Back to Gallier Homepage

published by:

Jean Gallier