Hyperbolicity Courses and Certifications

Instituto de Matemática Pura e Aplicada

Complex Dynamics in the Tropics - Renormalization Hyperbolicity and Rigidity for Analytic Homeomorphisms of the Circle

Explore renormalization hyperbolicity and rigidity for analytic circle homeomorphisms. Delve into advanced mathematical concepts and theorems in complex dynamics.

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

IMSA

Hyperbolicity in Presence of a Large Local System

Explore hyperbolicity in complex algebraic varieties with Yohan Brunebarbe. Learn about Green-Griffiths and Lang conjectures, and their validity for varieties with large complex local systems.

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

IMSA

Hyperbolicity of Algebraic Varieties via Fundamental Groups

Explore hyperbolicity of algebraic varieties through fundamental groups, examining linear representations and their implications for complex quasi-projective varieties and the Green-Griffiths-Lang conjecture.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

Joint Mathematics Meetings

Searching for Hyperbolicity

Explore geometric group theory and hyperbolicity in mathematics with Ruth Charney's insightful lecture, covering key concepts and their applications in various geometric spaces.

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

Centre de recherches mathématiques - CRM

Hyperbolicity from Walls - Group Actions on Hyperbolic Spaces

Explore hyperbolicity in group theory through actions on hyperbolic spaces. Learn about Sageev's construction and its applications in mathematical research.

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

International Centre for Theoretical Sciences

Growth of Subgroups with Hyperbolicity - Lecture 2

Explore growth of (sub)groups with hyperbolicity in this advanced mathematics lecture, part of a workshop on geometric group theory featuring eminent researchers and collaborative research opportunities.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Growth of (Sub)Groups with Hyperbolicity - Lecture 1

Explore growth patterns in hyperbolic subgroups with expert Inhyeok Choi. Gain insights into geometric group theory and its applications in diverse mathematical fields.

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

International Centre for Theoretical Sciences

Growth of Subgroups with Hyperbolicity - Lecture 3

Explore growth of (sub)groups with hyperbolicity in this advanced mathematics lecture, part of a workshop on geometric group theory featuring eminent researchers and collaborative research opportunities.

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

International Centre for Theoretical Sciences

Hyperbolicity - Exploring Negative Curvature in Geometry

Explore negative curvature and hyperbolicity in everyday objects, from underwater environments to clothing and brain structures, challenging traditional geometry concepts.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Institute for Advanced Study

p-adic Hyperbolicity of Shimura Varieties

Explore p-adic extensions of Borel's theorem on holomorphic maps in Shimura varieties, covering both abelian type and exceptional cases with recent research developments.

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

INI Seminar Room 2

On Hyperbolicity, Diophantine Geometry and Open Questions

Explore advanced mathematical concepts in hyperbolicity and Diophantine geometry, examining Lang's Conjecture, Borel theorems, and recent developments in Analytic Ax-Schanuel theory.

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

IMSA

Hyperbolicity and Holomorphic Jet Differentials in Complex Manifolds

Delve into complex manifold hyperbolicity theory, exploring function theory, holomorphic jet differentials, and connections between geometric and number-theoretic approaches to rational points.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Urs Lang - Combinatorial Dimension and Higher-Rank Hyperbolicity

Exploration of (n,δ)-hyperbolicity in metric spaces, its relation to Gromov's δ-hyperbolicity, and applications in geometric group theory and hierarchically hyperbolic groups.

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

IMSA

Orbifold Jet Differentials and Hyperbolicity Conjectures

Explore orbifold jet differentials and their role in hyperbolicity conjectures. Discuss limitations in extending classical results to orbifold contexts, based on collaborative research.

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

IMSA

Complex Hyperbolicity and Representations of the Fundamental Group in Non-Compact Varieties

Explore complex hyperbolicity and fundamental group representations in quasi-projective varieties, blending archimedean and non-archimedean approaches to extend previous research in algebraic geometry.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video