Lectures related to Group Actions: G-equivariant Morphisms

Explores equivariance in group actions and functors, demonstrating its importance in group theory.

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

Delves into the categorical framework for group actions and the correspondence between G-actions on c and functors from BG to C.

Explores natural transformations between functors in different categories and their applications.

Covers adjunctions and functor categories, emphasizing their significance in category theory and applications in deep learning.

Explores functors between categories and the conditions for left and right adjoints.

Explores natural transformations in algebra, defining functors and isomorphisms.

Explores natural transformations between functors, emphasizing their composition-preserving properties and significance in category theory.

Covers the concept of functors in category theory, including composition, identity functors, and forgotten functors.

Explains the concept of free actions and their preservation properties in group theory.

Covers categories, functors, and presheaf categories, exploring the relationships between objects and morphisms.

Introduces functors, including identity and forgetful functors, and explores duality functors.

Explores G-objects in a concrete category and the framework for group actions.

Provides an overview of categories, functors, and natural transformations in mathematics.

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

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

Covers natural transformations between functors, identity transformations, and equivalence of categories.

Covers group quotient, group actions, and functors connecting sets and G-sets.

Explores constructing desired adjoints in specific categories like Set.

Explores the construction of G-sets and left adjoint functors in category theory.