MATH 597: Dynamical Systems on Nilmanifolds

Syllabus

Chapter 1: Nilpotent Lie groups

Chapter 2: Lattices and nilmanifolds

Chapter 3: Ergodicity of nilmanifold automorphisms

Chapter 4: Entropy and mixing of nilmanifold automorphisms

Appendix A: Universal enveloping algebra and Ado's Theorem

Homeworks