Equidistribution of CM Points

This lecture discusses the equidistribution of CM points, focusing on the ergodicity of the system and the important results derived from Birkhoff's theorem. The instructor covers various concepts such as conditional expectation, conditional measures, and the proof of the theorem, emphasizing the joint equidistribution of points. The lecture progresses through the comparison of different ergodic systems and the implications of ergodicity. The instructor explores the concept of equidistribution through various examples and properties, illustrating the significance of the results in the context of measure-preserving systems.