Lectures related to Course Design

Introduces the basics of group theory, defining groups, categories, and groupoids.

Covers the theory of groups and homotopical algebra, emphasizing natural transformations, identities, and isomorphism of categories.

Covers the definition of generators of the conformal group and the application of Wick's theorem.

Explores adjunction between functors, composition of applications, G-equivariance, and natural transformations in G-sets.

Discusses the minimization of the Hartree-Fock functional for N fermions and the variational principle in quantum physics.

Delves into the evolution and cultural significance of dormitory typology in architecture.

Explores examples of categories, morphisms, groupoids, and functors in category theory.