Lectures related to Active Learning: Products and Categories

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

Explores building categories from graphs and the encoding of information by functors.

Covers adjunctions and limits, focusing on functors, co-limits, and their applications in category theory.

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

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

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

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

Explores natural transformations in algebra, defining functors and isomorphisms.

Covers the theory of categories, emphasizing the importance of naturalness in the composition of transformations.

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

Explores constructing desired adjoints in specific categories like Set.

Explores divisibility and torsion in group theory, focusing on defining a functor that preserves divisibility.

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

Covers the transfer of model structures through adjunctions in the context of model categories.

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

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

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

Explores concrete examples of limits and colimits in functors and different categories.

Explores composition of functors, induced functors, and preservation of commutative diagrams in category theory.

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