Ricci Flow Courses and Certifications

BIMSA

Ricci Flow and Diffeomorphism Groups of 3-Manifolds

Explore Ricci flow techniques and their applications to understanding diffeomorphism groups of 3-manifolds in this advanced mathematical presentation.

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

Institute for Advanced Study

Visualizing Ricci Flow

Explore how Ricci flow evolves Riemannian metrics through visual depictions, understanding singularity formation and geometric behavior near these critical points.

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

Institute for Advanced Study

Estimates for Ricci Solitons in Dimension 4

Explore advanced estimates for Ricci solitons in 4D geometry, covering self-similar solutions to Ricci flow and their role in modeling singularity formation.

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

Institute for Advanced Study

Linear Stability of Shrinking Ricci Solitons and First Eigenvalue Estimates

Explore linear stability analysis of shrinking Ricci solitons and eigenvalue estimates for Laplace-Beltrami operators in this advanced mathematical physics seminar.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

International Mathematical Union

Some Recent Developments in Ricci Flow

Explore recent advancements in Ricci flow theory with mathematician Richard Bamler, delving into cutting-edge research and its implications for geometric analysis.

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

BIMSA

The Ricci Flow - Lecture by Richard Hamilton

Explore the Ricci flow equation, its applications in geometry, and its role in understanding manifold curvature evolution. Gain insights into singularities and geometric analysis.

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

Centre de recherches mathématiques - CRM

Singularity Models in 3D Ricci Flow

Explore singularity formation in 3D Ricci flow, examining recent developments leading to a complete classification of singularity models beyond Perelman's breakthrough.

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

Institut des Hautes Etudes Scientifiques (IHES)

Regularising Manifolds Using Ricci Flow

Explore Ricci flow's applications in deforming and regularizing manifolds, including its use in identifying topology and proving geometric theorems.

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

Institut des Hautes Etudes Scientifiques (IHES)

Smoothing by Ricci-DeTurck Flow and Applications to Scalar Curvature

Explore Ricci-DeTurck flow's existence theory for non-smooth initial metrics and its applications to scalar curvature rigidity problems in geometry.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Prague Mathematical Physics Seminar

On Generalised Ricci Flow for Courant Algebroids

Explore generalised Ricci flow for Courant algebroids, delving into advanced mathematical concepts and their applications in physics and geometry.

• YouTube
• 1 hour 25 minutes
• On-Demand
• Free Video

Harvard CMSA

Lower Scalar Curvature Bounds for C^0 Metrics - A Ricci Flow Approach

Delve into advanced mathematical concepts exploring lower scalar curvature bounds for continuous metrics through Ricci flow, focusing on stability, preservation, and evolution of weak bounds.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Toward a Theory of Ricci Flow in Dimension 4

Explore the new compactness and partial regularity theory for Ricci flow in higher dimensions, focusing on dimension 4 and potential applications for surgery construction and singularity resolution.

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

Institute for Advanced Study

Monotonicity of Data Along Ricci Flow on Surfaces

Explore the monotonicity of topological and Liouville entropy along normalized Ricci flow on closed surfaces, examining Manning's question and recent findings from joint research.

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

Harvard CMSA

Ricci Flow as a Test for AI

Explore how Ricci flow from differential geometry can serve as a challenging benchmark for testing artificial intelligence capabilities in advanced mathematics.

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

International Mathematical Union

Developments in 3D Ricci Flow Since Perelman

Explore recent advancements in 3D Ricci flow theory post-Perelman, delving into mathematical breakthroughs and their implications for geometric topology and differential geometry.

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