Differential Geometry Courses and Certifications

Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

Explore advanced topics in differential geometry, including special holonomy, complex manifolds, and their connections to various mathematical fields and theoretical physics.

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

Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

Explore SU(2)-structure flows in complex manifolds, delving into special holonomy and geometric structures. Gain insights into differential geometry's connections with complex geometry, physics, and symplectic geometry.

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

Centre International de Rencontres Mathématiques

Score Matching and Sub-Riemannian Bridges

Explore score matching and sub-Riemannian bridges in geometric statistics and shape analysis through an expert's perspective.

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

Centre International de Rencontres Mathématiques

Automorphisms of Rigid Geometric Structures à la Zimmer-Gromov

Explore automorphisms of rigid geometric structures through Zimmer-Gromov's approach in this advanced mathematics lecture by Karin Melnick.

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

Centre International de Rencontres Mathématiques

Brazil-France School on Foliation Theory - On Integral Conditions for the Existence of First Integrals

Explore integral conditions for first integrals in foliation theory. Gain insights from experts in this collaborative Brazil-France mathematical school on advanced topological concepts.

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

Centre International de Rencontres Mathématiques

Local Invariant Hypersurfaces for Codimension One Foliation

Explore local invariant hypersurfaces in codimension one foliations. Gain insights into foliation theory through this advanced mathematical lecture at the Brazil-France School on Foliation Theory.

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

Centre International de Rencontres Mathématiques

Canonical Extension of Partial Connections in Foliation Theory

Explore canonical extensions of partial connections in foliation theory. Gain insights from Brazilian and French mathematicians in this collaborative school hosted simultaneously at CIRM and IMPA.

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

Centre International de Rencontres Mathématiques

Foliations on Homogeneous Varieties - Brazil-France School on Foliation Theory

Explore foliations on homogeneous varieties in this advanced mathematical lecture from the Brazil-France School on Foliation Theory.

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

Centrum Fizyki Teoretycznej PAN

Christoffel Symbols, Curvature, and Riemann Tensor - Lecture 8

Zgłęb zaawansowane koncepcje geometrii różniczkowej, w tym symbole Christoffela, krzywiznę i tensor Riemanna. Poznaj ich właściwości algebraiczne i zastosowania w fizyce teoretycznej.

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

Centrum Fizyki Teoretycznej PAN

Levi-Civita Connection, Christoffel Symbols, and Geodesics - Lecture 7

Explore advanced concepts in differential geometry, including Levi-Civita connections, Christoffel symbols, and geodesics. Delve into covariant derivatives, parallel transport, and variational principles in this graduate-level lecture.

• YouTube
• 1 hour 43 minutes
• On-Demand
• Free Video

Centrum Fizyki Teoretycznej PAN

Manifolds, Coordinates and Tensors - Lecture 5

Explore manifolds, coordinates, and tensors in this graduate-level physics lecture, covering key concepts and transformations for advanced theoretical understanding.

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

Centrum Fizyki Teoretycznej PAN

Spacetime G-structures - Lecture 2

Explore advanced concepts in spacetime geometry, focusing on G-structures and their intrinsic torsion. Gain insights into Carrollian, Galilean, and Lorentzian geometries and their applications in physics.

• YouTube
• 1 hour 11 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

Centrum Fizyki Teoretycznej PAN

Hyperbolic versus Elliptic Equations and Electromagnetic Field as 4D-Differential Two-Form - Lecture 9

Explore hyperbolic and elliptic equations, differential geometric notation, and electromagnetic fields as 4D-differential two-forms in this advanced theoretical physics lecture.

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

Centrum Fizyki Teoretycznej PAN

Symmetric Trilinear Forms and Einstein-like Equations: From Affine Spheres to Griess Algebras - Part III

Explore Einstein-like equations, affine differential geometry, and metrized commutative algebras. Delve into the unifying role of symmetric trilinear forms across diverse mathematical contexts.

• YouTube
• 1 hour 32 minutes
• On-Demand
• Free Video