Lectures related to Introduction to Adjunctions 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.

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

Adjunctions and Functor Categories: Exploring Connections

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

Natural Transformations: Examples and Applications

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

Limits and colimits: Introduction, Chapter 1(c)

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

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.

Limits and Colimits in Functor Categories

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

Introduction to Category Theory: Natural Transformations

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

Simplicial and Cosimplicial Objects: Examples and Applications

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

Categories and Functors: An Introduction

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

Active Learning Session

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

Limits and colimits as adjoints: Chapter 1(c)

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

Natural Learning Session

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

Categories and Functors

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

Active Learning in Category Theory

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

Introduction to Category Theory: Natural Transformations

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

Natural Transformations: Examples

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

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.

Functors and Adjunctions

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