Non-Euclidean Geometry Courses and Certifications

Instituto de Matemática Pura e Aplicada

Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups

Delve into advanced hyperbolic geometry concepts through an exploration of manifolds, submanifolds, and fundamental groups, featuring insights from mathematician Bruno Martelli on fiber and monodromy.

• YouTube
• 49 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups

Delve into advanced hyperbolic geometry and group theory through an exploration of manifolds, submanifolds, and fundamental groups, with insights from leading mathematicians at IMPA's international conference.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups

Delve into advanced hyperbolic geometry concepts through an exploration of minimal submanifolds, higher expanders, and waists of locally symmetric spaces in this mathematical research presentation.

• YouTube
• 55 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups

Delve into advanced hyperbolic geometry concepts and group theory with Jean-François Lafont, exploring cubulating groups via strict hyperbolizations and their applications in modern geometric topology.

• YouTube
• 56 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups

Delve into advanced hyperbolic geometry concepts through an exploration of semi-arithmetic Fuchsian groups, finiteness results, and their applications in manifold theory and group theory.

• YouTube
• 48 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups

Delve into advanced concepts of hyperbolic geometry, exploring manifolds, smooth structures, and group actions through an expert lecture from Brown University's mathematics department.

• YouTube
• 56 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Building Hyperbolic Manifolds with Coxeter Polytopes - Lecture 3

Delve into advanced concepts of building hyperbolic manifolds using Coxeter polytopes through expert guidance on geometric construction methods and theoretical foundations.

• YouTube
• 1 hour 15 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

The Geodesic Flow on Hyperbolic Surfaces - Part 2

Delve into the geodesic flow on hyperbolic surfaces in this advanced lecture by Ara Basmajian, part of the "New trends in Teichmüller theory" program at ICTS.

• YouTube
• 1 hour 26 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

The Geodesic Flow on Hyperbolic Surfaces - Lecture 1

Delve into the geodesic flow on hyperbolic surfaces in this lecture by Ara Basmajian, part of the "New trends in Teichmüller theory" program at ICTS.

• YouTube
• 1 hour 20 minutes
• Self-Paced
• Free Video

Centre International de Rencontres Mathématiques

Frieze Patterns and Farey Complexes

Explore the geometric modeling of SL2-tilings and Coxeter frieze patterns using Farey complexes, connecting hyperbolic tessellations to algebraic structures with visual diagrams.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

Extra Credits

History of Non-Euclidean Geometry

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Explore the fascinating evolution of non-Euclidean geometry through five episodes, covering sacred geometry, historical quests, mathematical challenges, and its impact on our understanding of the world.

• YouTube
• 30 minutes
• Self-Paced
• Free Video

The Early Universe

The first part of the course deals with the classical cosmology, and later part with modern particle physics and its recent impact on cosmology.

• MIT OpenCourseWare
• 29 hours
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Problèmes Ouverts et Progrès Récents en Géométrie Spectrale Hyperbolique

Découvrez les avancées récentes sur le trou spectral des surfaces hyperboliques et leurs liens avec la théorie des cordes et les quasi-cristaux en géométrie spectrale.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

The Geometry of Möbius Transformations

Explore the elegant geometry of Möbius transformations, uncovering their role as fundamental symmetries of the Riemann sphere, bridging complex analysis, geometry, and mathematical physics.

• Swayam
• Self-Paced
• Free Online Course

TED

The Beautiful Math of Coral and Crochet

Explore the fascinating intersection of mathematics, marine biology, and crochet as Margaret Wertheim recreates coral reef structures, revealing the hyperbolic geometry underlying their intricate forms.

• YouTube
• 17 minutes
• Self-Paced
• Conference Talk