Cartan Geometry Courses and Certifications

BIMSA

Cartan Geometry and Infinite-Dimensional Kempf-Ness Theory

Explore Cartan geometry and infinite-dimensional Kempf-Ness theory, focusing on novel approaches to generalize concepts to infinite dimensions and applications in Kähler geometry, deformation quantization, and gauge theory.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

SCI MUNI

Cartan Geometry via Algebra - Lecture 1

Dive into advanced mathematical concepts exploring Cartan geometry through algebraic perspectives, focusing on fundamental theoretical frameworks and applications.

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

SCI MUNI

Cartan Geometry via Algebra - Lecture 3

Dive into advanced mathematical concepts exploring Cartan geometry through algebraic perspectives, focusing on theoretical frameworks and geometric structures.

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

SCI MUNI

Cartan Geometry via Algebra - Lecture 2

Dive into advanced mathematical concepts of Cartan geometry through algebraic perspectives, exploring theoretical frameworks and geometric structures with expert insights.

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

Prague Mathematical Physics Seminar

Current Algebra and Generalised Cartan Geometry

Dive into advanced mathematical concepts exploring current algebra and generalized Cartan geometry, examining their interconnections and applications in mathematical physics.

• YouTube
• 1 hour 31 minutes
• On-Demand
• Free Video

SCI MUNI

Why Cartan Geometry in Physics - Part 2

Dive into advanced geometric principles and their applications in physics, exploring Cartan geometry's fundamental role in understanding physical phenomena and mathematical frameworks.

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

SCI MUNI

Why Cartan Geometry in Physics - Part 1

Explore advanced mathematical concepts of Cartan geometry and its crucial applications in theoretical physics through expert insights and detailed explanations.

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

SCI MUNI

Why Cartan Geometry in Physics - Part 3

Explore advanced concepts in Cartan geometry and its crucial applications in theoretical physics through detailed mathematical frameworks and physical interpretations.

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

SCI MUNI

Cartan Geometry and Physics: Vortex Duality and Chern-Simons Gravity

Explore advanced concepts in theoretical physics through Cartan geometry, examining vortex duality and its relationship with Chern-Simons gravity in mathematical frameworks.

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

SCI MUNI

Geometry of Rank 2 Distributions - Cartan Prolongation and Symplectification

Dive into advanced geometric concepts exploring Cartan prolongation, symplectification, and normal Cartan connections in rank 2 distributions through mathematical analysis.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Geometry for Higher Spin Gravity - Conformal Structures, PDEs, and Q-manifolds

Explore advanced mathematical frameworks connecting higher-spin gravity, conformal geometry, and quantum field theory through expert lectures on Cartan geometries, holography, and PDEs.

• YouTube
• 2 days 15 hours 48 minutes
• On-Demand
• Free Video

Centrum Fizyki Teoretycznej PAN

SCREAM Seminar - Symmetry, Curvature Reduction, and Equivalence Methods in Differential Geometry

Explore advanced differential geometry through Cartan and parabolic geometries, covering conformal structures, integrable systems, and applications to cosmology and quantum theory.

• YouTube
• 2 days 16 hours 39 minutes
• On-Demand
• Free Video

Centrum Fizyki Teoretycznej PAN

Geometry of Quantum Correlations - Part II

Explore quantum correlations using symplectic and algebraic geometry. Delve into entanglement, nonlocal properties, and the Einstein-Podolsky-Rosen analysis of quantum theory completeness.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

Centrum Fizyki Teoretycznej PAN

Geometry of Quantum Correlations

Explore the geometric description of quantum correlations using symplectic and algebraic tools. Gain insights into quantum entanglement and its unique features distinguishing quantum from classical systems.

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

Centrum Fizyki Teoretycznej PAN

Gauss-Bonnet Formula for Renormalized Area of Minimal Submanifolds in Poincaré-Einstein Spaces

Explore advanced geometric concepts in Gauss-Bonnet formula for renormalized area of minimal submanifolds in Poincaré-Einstein spaces. Delve into scattering theory, conformal invariants, and cutting-edge mathematical research.

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