Lectures related to Natural Learning Session

Active Learning Session

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

Adjunctions and Functor Categories: Exploring Connections

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

Left Adjoint Preserves Coproducts

Explores how left adjoints preserve coproducts in category theory with detailed proofs and morphism diagrams.

Adjunctions and Limits: Exploring Functors and Co-limits

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

Categories and Functors: An Introduction

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

Limits and Colimits in Functor Categories

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

Active Learning in Category Theory

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

Functors: Definition

Introduces functors in category theory and explains their composition.

Natural Transformations: Examples and Applications

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

Category Theory: Introduction

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

Simplicial and Cosimplicial Objects: Examples and Applications

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

Natural Transformations

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

An Introduction to Category Theory: Products and Coproducts

Demonstrates how adjoints preserve coproducts and products in category theory.

Introduction to Category Theory: Natural Transformations

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

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: Equalizers and Coequalizers

Covers limits and colimits, focusing on equalizers and coequalizers in category theory.

Group Morphisms: G-equivariant, Chapter III

Discusses the formulation of G-morphisms within vector spaces and topological spaces.

Introduction to Category Theory: Functors

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

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

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