Lectures related to Equivalence: Natural Isomorphisms and Triangular Identities

Explores functors, natural transformations, and the theory of groups, emphasizing the importance of comparisons and structure preservation.

Explores group homomorphisms, Euler's phi function, and group products.

Covers direct sums of abelian groups, group actions, and vector spaces, including coproducts and homomorphisms.

Delves into functors, natural transformations, and group actions with explicit examples.

Explores the verification of a Lie functor as a left adjoint, with natural transformations satisfying triangular identities and isomorphisms.

Covers prime numbers, RSA cryptography, and primality testing, including the Chinese Remainder Theorem and the Miller-Rabin test.