Lectures related to Natural Transformations: Adjunctions and Triangular Identities

Natural Transformations: Examples and Applications

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

Adjunctions and Functor Categories: Exploring Connections

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

Natural Transformations in Group Theory

Introduces natural transformations in group theory and category theory, emphasizing their definition and significance.

Natural Transformations: Definition

Covers the definition and properties of natural transformations between functors in category theory.

Natural Transformations

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

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: Introduction, Chapter 1(c)

Introduces limits and colimits in a category, covering their properties and uniqueness.

Introduction to Category Theory: Natural Transformations

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

Active Learning Session

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

Functor Categories Composition and Induced Functors

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

Limits and Colimits: Understanding Categories

Explores limits and colimits in category theory, discussing their definitions, properties, and applications, including the non-existence of limits in certain categories and the relationships between limits and colimits under functors.

Natural Learning Session

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

Limits and colimits as adjoints: Chapter 1(c)

Explores the characterization of limits and colimits as adjoints in category theory.

Introduction to Category Theory: Natural Transformations

Introduces natural transformations in category theory through concrete examples from group theory.

Limits and Colimits in Functor Categories

Explores limits and colimits in functor categories, focusing on equalizers, pullbacks, and their significance in category theory.

Natural Transformations: Examples

Introduces natural transformations through examples, covering equivalence of categories and functor properties.

Categories and Functors: An Introduction

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

Functors and Adjunctions

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

Introduction to Category Theory: Functors

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

Group Actions and Functors

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