Lectures related to Correlations of the Liouville function

Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.

Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.

Explores the composition of applications in mathematics and the importance of understanding their properties.

Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.

Covers the joint equidistribution of CM points and the ergodic decomposition theorem in compact abelian groups.

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

Covers the Zig Zag Lemma and the long exact sequence of relative homology.