Functors Courses and Certifications

Topos Institute

Polynomial Functors and Dynamical Systems - Lecture 3

Delve into advanced concepts of polynomial functors, exploring dynamical systems composition, monoidal structures, and monoid theory in mathematical category theory.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

Topos Institute

Polynomial Functors: Composition Product and Duoidality - Lecture 5

Delve into polynomial functors, exploring composition products, fundamental properties, and duoidality concepts through advanced mathematical theory and applications.

• YouTube
• 1 hour 22 minutes
• On-Demand
• Free Video

Topos Institute

Introduction to Polynomial Functors - Lecture 1

Dive into polynomial functors, exploring distributive laws, universal properties, and fundamental concepts in category theory through expert-led mathematical discussions.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

Topos Institute

Polynomial Functors: Tensor Monoids and Internal Hom - Lecture 4

Delve into advanced mathematical concepts of polynomial functors, exploring tensor monoids, comonoids, and internal hom structures through comprehensive theoretical explanations.

• YouTube
• 2 hours 17 minutes
• On-Demand
• Free Video

Topos Institute

Polynomial Functors and Comonoid Structures - Lecture 8

Delve into advanced mathematical concepts of polynomial functors, exploring comonoids, cofunctors, and bicomodules through detailed examples and theoretical constructions.

• YouTube
• 2 hours 25 minutes
• On-Demand
• Free Video

Topos Institute

Polynomial Functors - Lecture 2

Delve into polynomial functors, exploring definitions, coalgebras, and compositions through advanced mathematical concepts and practical applications in category theory.

• YouTube
• 1 hour 37 minutes
• On-Demand
• Free Video

Topos Institute

Polynomial Functors: Bicomodules - Lecture 9

Delve into advanced mathematical concepts of bicomodules and their applications in polynomial functors through expert-led theoretical exploration and analysis.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

Topos Institute

Polynomial Functors and State Machines - Lecture 6

Delve into polynomial functors, state machines, and ◁-monoids through advanced mathematical concepts and practical exercises in this theoretical mathematics exploration.

• YouTube
• 2 hours 13 minutes
• On-Demand
• Free Video

Topos Institute

Polynomial Functors and Monoid Theory - Lecture 7

Delve into advanced mathematical concepts of polynomial functors, exploring ◁-monoids, their products, free structures, and comonoids through rigorous theoretical analysis.

• YouTube
• 2 hours 22 minutes
• On-Demand
• Free Video

BunG Seminar

Soergel Functors in Geometric Representation Theory - Recent Developments

Delve into advanced geometric representation theory, exploring Soergel functors and their applications in describing complex categories through simpler module structures and Hecke categories.

• YouTube
• 2 hours 2 minutes
• On-Demand
• Free Video

Topos Institute

Preservation of 2-Algebraic Structure by Pseudo-Functors

Delve into advanced category theory concepts, exploring how 2-algebraic structures are preserved by cartesian pseudo-functors, with focus on flexible theories and their transformations.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Polynomial Functors Formalization Report

Explore the formalization of polynomial functors with Sina Hazratpour, delving into advanced mathematical concepts and their applications in functional programming.

• YouTube
• 48 minutes
• On-Demand
• Free Video

Fields Institute

Polynomial Functors in Arbitrary Characteristic

Explore polynomial functors in arbitrary characteristic with Keller VandeBogert from the University of Notre Dame in this mathematical seminar.

• YouTube
• 52 minutes
• On-Demand
• Free Video

BIMSA

A Target for Ribbon 2-Functors

Explore ribbon tensor 2-categories and their role in 4D topological quantum field theories through derived higher-gauge theory and cobraided dagger Hopf categories.

• YouTube
• 1 hour 26 minutes
• On-Demand
• Free Video

IMSC;  NPTEL

Algebra - II

Explore advanced algebraic concepts including Galois theory, category theory, and multilinear algebra. Ideal for graduate-level mathematics students seeking in-depth understanding of abstract structures.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course