Lectures related to Borcherds' Proof: Strategy

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Explores Monstrous Moonshine, focusing on the 1979 discovery and its mathematical connections.

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Covers the fundamentals of group theory in physics, focusing on symmetries and transformations leaving physical equations unchanged.

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

Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.

Explores Lie groups, scalar fields, and vector spaces transformations.