Operads Courses and Certifications

Institut des Hautes Etudes Scientifiques (IHES)

Higher Bruhat Orders and Higher Operads

Delve into advanced mathematical concepts exploring higher d-operads and their relationship with higher Bruhat orders on discrete Grassmannians, featuring insights from collaborative research.

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

Topos Institute

Dependetopes and Higher Generalized Algebraic Theories

Explore dependetopes as a syntactic approach to higher generalized algebraic theories, bridging categorical algebra and type theory through dependent typing extensions.

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

Fields Institute

Stability Phenomena and Operadic Structure - Part 1

Explore stability phenomena and operadic structures in algebraic topology through advanced mathematical concepts and configuration spaces.

• YouTube
• 56 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

Institut Henri Poincaré

Operads and the Blob Complex in Topological Quantum Field Theory

Explorez la théorie des opérades et le complexe blob en TQFT, en examinant la résolution de barre opéradique et les catégories opéradiques unaires.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

Prague Mathematical Physics Seminar

KZ Connection and Its Holonomy as Morphisms of Operads

Explore the mathematical relationship between KZ connections and holonomy through the lens of operad morphisms in this advanced mathematical physics seminar.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

NCCR SwissMAP

Automorphisms of Seamed Surfaces, Modular Operads and Galois Actions

Explore automorphisms of seemed surfaces, modular operads, and Galois actions in this advanced algebraic topology lecture by M. Robertson.

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

Topos Institute

Applied Category Theory - MIT 2019

Explore mathematical structures and their real-world applications through category theory, covering foundational concepts to practical implementations in programming.

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

Hausdorff Center for Mathematics

Junior Trimester Program - Topology

Explore advanced topology through expert lectures on operads, motivic Galois groups, L2-invariants, K-theory, and fusion systems from leading mathematicians.

• YouTube
• 2 days 16 hours 18 minutes
• On-Demand
• Free Video

Topos Institute

Wanted: An Org^m-Enriched Operad

Dive into advanced mathematical concepts exploring Org^m enriched operads through David Spivak's theoretical framework and mathematical foundations in category theory.

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

Topos Institute

Dual Algebraic Structures and Enrichment: From Sweedler Theory to Operadic Structures

Delve into advanced algebraic concepts including Sweedler theory, enriched categories, and operadic structures through detailed mathematical explorations and theoretical frameworks.

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

Banach Center

Introduction to Koszul Duality - Part 5

Explore advanced concepts of Koszul duality, delving into its applications and theoretical foundations in algebraic topology and homological algebra.

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

Banach Center

Introduction to Koszul Duality - Part 4

Explore advanced concepts of Koszul duality, delving into its applications and theoretical foundations in algebraic topology and homological algebra.

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

Banach Center

Introduction to Koszul Duality - Part 3

Explore advanced concepts of Koszul duality, delving into its applications and theoretical foundations in algebraic topology and homological algebra.

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

Banach Center

Introduction to Koszul Duality - Part 2

Explore advanced concepts of Koszul duality, building on previous knowledge and delving into complex mathematical theories and applications.

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