Holonomy Courses and Certifications

Joint Mathematics Meetings

The Concept of Holonomy - Its History and Recent Developments

Explore the concept of holonomy, its historical evolution, and recent advancements in mathematics with Duke University's Robert L. Bryant in this insightful lecture.

• YouTube
• 58 minutes
• On-Demand
• Conference Talk

Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

Explore special holonomy and geometric structures on complex manifolds, delving into Lie group actions, differential geometry, and connections to various mathematical fields.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Stony Brook Mathematics

Compact Holonomy G2 Manifolds Need Not Be Formal

Delve into advanced mathematical concepts exploring why compact holonomy G_2 manifolds may not exhibit formality, challenging previous conjectures about special and exceptional holonomy manifolds.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

Banach Center

Holonomy as a Key Concept of Differential Geometry

Discover how holonomy generalizes triangle angle sums into a powerful differential geometry concept, exploring Berger's theorem, curvature relationships, and connections to physics.

• YouTube
• 1 hour 23 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

NYU Physics

Model G2-holonomy Singularities, M-theory and QFTs in 3, 4 and 5 Dimensions

Delve into advanced theoretical physics concepts exploring G2-holonomy spaces, string theory, and quantum field theories across multiple dimensions, with applications to cosmology and particle physics.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

BIMSA

Classifying Special Holonomy Kummer Constructions

Explore advanced mathematical techniques for classifying Kummer constructions with special holonomy properties in differential geometry.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

Explore vertex algebras derived from the Hull Strominger system in complex manifolds, delving into special holonomy and geometric structures. Gain insights into advanced mathematical concepts and their applications.

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

Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

Explore cubic differentials and harmonic maps in asymptotic cones, delving into special holonomy and geometric structures on complex manifolds. Gain insights from expert John Loftin.

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

Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

Explore complex manifolds, special holonomy, and geometric structures. Delve into relationships between differential, complex, and algebraic geometry, with applications in physics and symplectic geometry.

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

Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

Explore 3-(α, δ)-Sasaki manifolds and strongly positive curvature in complex geometry. Delve into special holonomy, geometric structures, and their connections to various mathematical fields.

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

Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

Explore non-Kähler manifolds through mapping tori in this advanced mathematics lecture, delving into special geometric structures, Lie group actions, and their connections to various mathematical fields.

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

Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

Explore advanced geometric structures on complex manifolds, focusing on special holonomy and its connections to various mathematical fields and theoretical physics.

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

Instituto de Matemática Pura e Aplicada

Killing and Ricci-Hessian Equations in Pseudo-Kähler Geometry - Special Holonomy and Geometric Structures on Complex Manifolds

Explore Killing and Ricci-Hessian equations in (pseudo)Kähler geometry. Delve into special holonomy, complex manifolds, and their connections to various mathematical fields and theoretical physics.

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

Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

Explore stability of critical points in self dual abelian YMH energy on Kähler manifolds. Delve into special geometric structures, complex geometry, and their connections to physics and symplectic geometry.

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