Joint Equidistribution of CM Points

Related lectures (31)

Page 3 of 4

Explains the Open Mapping Theorem for holomorphic maps between Riemann surfaces.

Covers the concept of distributions with compact support and their interpolation spaces.

Covers the proof of the Jordan Curve Theorem and the properties of embedded spheres.

Covers Lipschitz maps, compact domains, changing variables, counting problems, and probability of ideals.

Covers the Hadamard factorisation theorem for entire functions of order at most 1.

Discusses approximation by smooth functions and the convergence of function sequences in normed vector spaces.

Covers the Central Limit Theorem and its application to random variables, proving convergence to a normal distribution.

Covers stability in optimal transport and provides examples of discontinuous optimal solutions.

Explores the equidistribution of CM points and the implications of ergodicity in measure-preserving systems.

Explores Bourgain's theorem on sparsest cut in graphs, emphasizing semimetrics and cut optimization.