Lectures related to Equidistribution of CM Points

Explores symmetric matrices, quadratic forms, and critical points in functions of two variables.

Explores symmetric matrices, quadratic forms, diagonalization, and definiteness with examples and calculations.

Explores examples of algebraic quotients using invariance maps and discriminant.

Explores the theory of Hermitian spaces and their applications in quadratic forms and codimension 1 spaces.

Explores the applications of Green's Theorem in 2D, emphasizing the importance of regular domains for successful integration.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

Explores the joint equidistribution of CM points for cubic fields, emphasizing periodic orbits and quadratic algebraic forms.