- Lecture 1: Spaces with measure (August 9).
- Lecture 2: Poincaré recurrence theorem (August 11).
- Lecture 3: Examples of ergodic measures (August 16).
- Lecture 4: Convex cone of measures and weak-* topology (August 18).
- Lecture 5: Weak-* topology and Birkhoff ergodic theorem (August 23).
- Lecture 6: Birkhoff ergodic theorem and Hopf Argument (October 4).
- Lecture 7: Von Neumann ergodic theorem and pseudo-Anosov maps (October 6).
- Lecture 8: Riemannian geometry of space forms (October 11).
- Lecture 9: Isomorphisms of low-dimensional Lie groups (October 13).
- Lecture 10: Conformal automorphisms of the circle (October 18).

- Assignment 1: Stone-Weierstrass theorem (August 23).
- Assignment 2: Radon-Nikodym theorem (August 31).
- Assignment 3: Tychonoff theorem (September 5).
- Assignment 4: Hahn-Banach theorem (September 12).
- Assignment 5: Krein-Milman theorem (September 19).
- Assignment 6: Regular measures (September 26).
- Home assignment 7: Lie groups (October 18).

Misha VerbitskyIMPA |