Hyperbolic Manifolds Courses and Certifications

Instituto de Matemática Pura e Aplicada

Hyperbolic Manifolds and Their Totally Geodesic Submanifolds - Mini-course 2

Delve into advanced concepts of arithmetic hyperbolic manifolds and their totally geodesic submanifolds through expert analysis of recent developments in hyperbolic geometry and group theory.

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

Instituto de Matemática Pura e Aplicada

Hyperbolic Manifolds, Their Submanifolds and Exotic Negatively Curved Manifolds - Part 1

Delve into advanced concepts of hyperbolic geometry and manifolds, exploring exotic negatively curved manifolds and their mathematical properties through expert insights from Brown University.

• YouTube
• 1 hour 24 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups (2025)

Explore cutting-edge developments in hyperbolic geometry and group theory through expert lectures and hands-on minicourses from leading mathematicians worldwide.

• YouTube
• 1 day 6 hours 39 minutes
• On-Demand
• 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 manifolds, submanifolds, and fundamental groups, with insights from leading mathematician Monika Kudlinska.

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

Joint Mathematics Meetings

Euclidean Lines on Hyperbolic Manifolds

Explore Euclidean lines on hyperbolic manifolds, from basic models to complex surfaces, with insights on rigidity theorems and dynamical systems in this advanced mathematics lecture.

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

BIMSA

Hyperbolic Manifolds in Dimension Higher Than 3

Explore hyperbolic manifolds in dimensions 4 and higher, examining their properties, challenges in description, and current understanding in topology.

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

Centre de recherches mathématiques - CRM

Arithmeticity and FC-Subspaces of Hyperbolic Manifolds

Explore connections between geometry and arithmeticity of hyperbolic orbifolds using fc-subspaces. Learn about new arithmeticity criteria and applications to reflection groups and hyperbolic link complements.

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

Institute for Advanced Study

Arithmetic Quantum Unique Ergodicity for Hyperbolic Manifolds

Explore quantum unique ergodicity in hyperbolic manifolds, focusing on arithmetic aspects and their implications in mathematical physics and number theory.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Stationary Random Subgroups and Injectivity Radius of Hyperbolic Manifolds

Explore probabilistic methods in geometric problems, focusing on injectivity radius in hyperbolic manifolds and stationary actions of groups with large stabilizers.

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

NCCR SwissMAP

Exponential Mixing of Frame Flows for Geometrically Finite Hyperbolic Manifolds

Explore exponential mixing of frame flows in geometrically finite hyperbolic manifolds through advanced analytic techniques in dynamics and geometry.

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

Instituto de Matemática Pura e Aplicada

Hyperbolic Manifolds, Their Submanifolds and Arithmetic Properties - Mini-course 2

Delve into advanced concepts of arithmetic hyperbolic manifolds and totally geodesic submanifolds through expert lectures from Matthew Stover and Mikhail Belolipetsky at IMPA's specialized mathematics conference.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Hyperbolic Manifolds, Their Submanifolds and Exotic Negatively Curved Manifolds - Mini-course 3

Delve into advanced concepts of exotic negatively curved manifolds and hyperbolic geometry through expert insights from Brown University's mathematical research and developments.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Building Hyperbolic Manifolds with Coxeter Polytopes - Mini-course 3

Delve into advanced hyperbolic geometry concepts through an exploration of building hyperbolic manifolds with Coxeter polytopes, presented by Oxford mathematician Giovanni Italiano.

• YouTube
• 1 hour 19 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Building Hyperbolic Manifolds with Coxeter Polytopes - Mini-course 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 19 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Hyperbolic Manifolds, Their Submanifolds and Totally Geodesic Submanifolds - Mini-course 2

Delve into advanced concepts of arithmetic hyperbolic manifolds and their totally geodesic submanifolds through expert insights from Temple University's Matthew Stover.

• YouTube
• 1 hour 24 minutes
• On-Demand
• Free Video