Prof. Fedor Pakovich

Course topics

  1. Normal families and rational maps.
  2. The Fatou and Julia sets.
  3. Properties of the Julia set.
  4. The structure of the Fatou set.
  5. Periodic points.
  6. Forward invariant components.
  7. The no wandering domains theorem.
  8. Commuting and semiconjugate rational functions.
  9. Introduction to arithmetic dynamics.