Hyperbolic 3-manifolds Courses and Certifications

Institute for Advanced Study

Bounds in Renormalized Volume for Hyperbolic 3-Manifolds - Franco Vargas Pallete

Explore advanced geometric concepts in hyperbolic 3-manifolds, focusing on renormalized volume bounds, mean curvature, and variation formulas through rigorous mathematical analysis.

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

IMSA

Tight Contact Structures on Hyperbolic 3-Manifolds - IMSA Topology Seminar

Exploring tight contact structures on hyperbolic 3-manifolds via Dehn surgery on genus one fibered knots in lens spaces, with insights on classification and Stein fillability.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

Small Cusped Hyperbolic 3-Manifolds and Order-Preserving Braids

Explore minimal-volume cusped hyperbolic 3-manifolds and their fundamental groups' orderability. Investigate order-preserving braids and their impact on Artin actions.

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

Centre de recherches mathématiques - CRM

Ruelle Zeta at Zero for Nearly Hyperbolic 3-Manifolds

Explorez la fonction zêta de Ruelle pour les variétés presque hyperboliques en 3D, en examinant ses propriétés spectrales et géométriques.

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

Centre International de Rencontres Mathématiques

Random Hyperbolic 3-Manifolds

Explore random hyperbolic 3-manifolds through an in-depth mathematical conference talk, delving into advanced geometric concepts and probabilistic approaches.

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

Institute for Advanced Study

Polyhedra, Hyperbolic 3-Manifolds, and Arithmetic

Explore the connection between polyhedra, hyperbolic 3-manifolds, and arithmetic in this mathematical lecture examining Thurston's construction and the question of arithmeticity.

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

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

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

BIMSA

An Analogue of the Volume Conjecture for Closed Non-Hyperbolic 3-Manifolds

Explore Pavel Putrov's groundbreaking work on extending the volume conjecture to closed non-hyperbolic 3-manifolds in this advanced mathematical presentation.

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

ICTP Mathematics

Advanced School on Geometric Group Theory and Low-Dimensional Topology - Recent Connections and Advances

Explore cutting-edge connections between geometric group theory and low-dimensional topology through advanced lectures on virtually special groups, hyperbolic manifolds, and Teichmuller theory.

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

BIMSA

Distribution on Achiral Manifolds

Explore distribution of commensurable classes in geometric models, focusing on Sol and hyperbolic 3-manifolds. Delve into related number theory concepts and recent research findings.

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

Centre de recherches mathématiques - CRM

Profinite Properties of Finite-Volume Hyperbolic 3-Manifold Groups

Explore profinite rigidity of finite-volume hyperbolic 3-manifold groups, examining volume, invariant trace fields, and arithmeticity as profinite invariants in geometric topology.

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