Polynomial Functors Courses and Certifications

Topos Institute

Polynomial Functors - Theory and Applications to Dynamical Systems and Data

Explore polynomial functors with applications to dynamical systems and data, balancing solid theoretical foundations with diverse examples from category theory.

• YouTube
• 15 hours 46 minutes
• On-Demand
• Free Video

Topos Institute

Workshop on Polynomial Functors - 2021

Explore advanced mathematical structures through polynomial functors in this intensive 5-day workshop covering theoretical foundations and practical applications.

• YouTube
• 20 hours 28 minutes
• On-Demand
• Free Video

Topos Institute

Polynomial Functors: From Elementary Arithmetic to Infinity-Operads

Explore polynomial functors and their applications in combinatorics, logic, and homotopy theory, from basic arithmetic concepts to complex infinity-operads.

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

Topos Institute

Probabilistic and Namespace Conditioning in Polynomial Functors

Delve into probabilistic conditioning and namespace theory through polynomial functors, exploring Bayesian inference and distributive maps in substitution monoidal products.

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

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

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