Lectures related to Natural Transformations: Categories, Functors, and Equivalence

Natural Transformations: Functors and Categories

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

Simplicial and Cosimplicial Objects: Examples and Applications

Covers simplicial and cosimplicial objects in category theory with practical examples.

Categories and Functors

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

Adjunctions and Limits: Exploring Functors and Co-limits

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

Limits and colimits in Top

Covers the concepts of limits and colimits in the category of Topological Spaces, emphasizing the relationship between colimit and limit constructions and adjunctions.

Natural Learning Session

Explores coproducts, universal properties, and natural transformations in category theory.

Introduction to Category Theory: Natural Transformations

Covers the concept of natural transformations between functors and their associativity.

Categories and Functors: An Introduction

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

Natural Transformations Composition

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

Adjunctions and Functor Categories: Exploring Connections

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

Functors and Adjunctions

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

Natural Transformations: Examples and Applications

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

Functors and Natural Transformations

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

Introduction to Category Theory: Functors

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

Active Learning Session

Explores natural transformations in group theory and category theory, emphasizing functor composition and morphism composition.

Category Theory: Introduction

Covers the basics of categories and functors, exploring properties, composition, and uniqueness in category theory.

Functors: Definition

Introduces functors in category theory and explains their composition.

Natural Transformations in Algebra

Explores natural transformations in algebra, defining functors and isomorphisms.

Natural Transformations

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

Categories and Functors

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