↓ Skip to main content
Ryuma ORITA
  1. Teaching/

Differential Topology

For doctoral students; Semester 2, intensive course · Graduate School of Science and Technology, Niigata University

Syllabus

Note

This course is planned as an intensive course.

Textbooks

  • John W. Milnor, “Morse Theory”, Princeton University Press

Course contents

  1. Review of Morse theory on path spaces (Part III)
  2. Symmetric spaces (§20)
  3. Lie groups as symmetric spaces (§21)
  4. Manifolds of minimal geodesics (§22)
  5. The Bott periodicity theorem for the unitary group (§23)
  6. The Bott periodicity theorem for the orthogonal group (§24)