Hypersurfaces Courses and Certifications

Institut des Hautes Etudes Scientifiques (IHES)

Recent Developments in Constant Mean Curvature Hypersurfaces - Part II

Explore recent developments in constant mean curvature hypersurfaces, focusing on min-max theorems and the half-volume spectrum. Gain insights into advanced geometric analysis concepts.

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

Institut des Hautes Etudes Scientifiques (IHES)

Recent Developments in Constant Mean Curvature Hypersurfaces - Part I

Explore recent developments in constant mean curvature hypersurfaces, focusing on existence theory using min-max methods and discussing open problems in the field.

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

ICTP Mathematics

Singularities of the Mean Curvature Flow of Mean Convex Hypersurfaces - Lecture 2

Explore singularities in mean curvature flow of convex hypersurfaces, focusing on advanced mathematical concepts and their implications in geometric analysis.

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

ICTP Mathematics

F-Signature of Some Hypersurfaces

Explore F-signature of hypersurfaces with A. Caminata, delving into advanced mathematical concepts and their applications in algebraic geometry.

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

Institute for Pure & Applied Mathematics (IPAM)

Entropy and C^0 Stability of Hypersurfaces - IPAM at UCLA

Explore entropy's role in hypersurface complexity, focusing on sphere rigidity, stability properties, and generalizations in higher dimensions. Gain insights into cutting-edge research in geometric analysis.

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

Institute for Pure & Applied Mathematics (IPAM)

Topological Properties of Hypersurfaces with Low Entropy - IPAM at UCLA

Explore topological properties of hypersurfaces with low entropy, focusing on Colding-Minicozzi entropy, mean curvature flow, and closed hypersurfaces in this advanced mathematics lecture.

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

ICTP Mathematics

Singularities of the Mean Curvature Flow of Mean Convex Hypersurfaces - Lecture 5

Explore singularities in mean curvature flow of convex hypersurfaces, covering max inequality, weak solutions, surgeries, and Type 2 singularities with intuitive explanations.

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

BIMSA

The Singular Set of Stable Minimal Hypersurfaces

Explore stable minimal hypersurfaces, their singularities, and recent findings on constructing metrics with specific singular sets in higher dimensions.

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

Institut des Hautes Etudes Scientifiques (IHES)

Periods of Hypersurfaces via Effective Homology

Explore numerical approximations of periods for hypersurfaces using effective homology, enabling computation of algebraic invariants for complex projective varieties.

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

IMSA

SYZ for Hypersurfaces of Toric Fano Manifolds and Optimal Transport - Part 1

Delve into the relationship between SYZ-conjecture, Calabi-Yau hypersurfaces, and optimal transport theory through advanced mathematical analysis of Monge-Ampère equations and toric geometry.

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

Centre International de Rencontres Mathématiques

Specialization Techniques and Stable Rationality in Hypersurfaces - Lecture 3

Delve into advanced mathematical concepts exploring stable rationality, motivic obstruction, and tropical degeneration techniques for hypersurfaces and complete intersections.

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

Centre International de Rencontres Mathématiques

Specialization Techniques and Stable Rationality in Hypersurfaces - Lecture 1

Delve into advanced mathematical concepts exploring stable rationality, motivic obstruction, and tropical degeneration techniques for hypersurfaces and complete intersections.

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

Centre International de Rencontres Mathématiques

Specialization Techniques and Stable Rationality in Hypersurfaces - Lecture 2

Delve into advanced mathematical concepts exploring stable rationality, motivic obstruction, and tropical degeneration techniques for hypersurfaces and complete intersections in algebraic geometry.

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

Fields Institute

Extremal Hypersurfaces in Positive Characteristic

Explore advanced mathematical concepts of extremal hypersurfaces, focusing on their behavior and properties in positive characteristic fields through rigorous theoretical analysis.

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

IMSA

SYZ for Hypersurfaces of Toric Fano Manifolds and Optimal Transport - Part 2

Delve into advanced mathematical concepts exploring SYZ conjecture, Calabi-Yau hypersurfaces, and optimal transport theory through real Monge-Ampère equations and toric Fano manifolds.

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