Complex Geometry Courses and Certifications

Hackaday

Designing with Complex Geometry - Class 4

Explore advanced Grasshopper techniques including L-Systems, attractor points, vector lines, and fields. Learn to create complex geometries and enhance your parametric design skills.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Video

Hackaday

Designing with Complex Geometry - Class 3

Explore advanced techniques in Grasshopper for creating complex geometries, including grids, cells, and surface morphing. Hands-on exercises reinforce learning and practical application of concepts.

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

The Royal Institution

The Search for a Theory of Everything – with Yang-Hui He

Explore the quest for a unified theory of everything, tracing its history from ancient astronomers to modern string theory and the interplay between physics, mathematics, and data.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Fields Institute

Quotients of the Drury-Arveson Space and Their Classification in Terms of Complex Geometry

Explore quotients of Drury-Arveson space, their classification using complex geometry, and connections to hyperbolic metrics and holomorphic multipliers in this advanced mathematical lecture.

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

BIMSA

Exotic Calabi-Yau Metric and Holomorphic Fibration

Explore complete Calabi-Yau metrics, from historical developments to recent constructions on C^3, with insights into collapsing metrics on Calabi-Yau 3-folds.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Kähler-Einstein Bergman Metrics on Pseudoconvex Domains

Explore Kähler-Einstein Bergman metrics on pseudoconvex domains, examining Yau and Cheng's conjectures and related questions in complex geometry.

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

Institut des Hautes Etudes Scientifiques (IHES)

Interplay Between Notions of Convexity in Complex, Symplectic and Contact Geometries

Explore the interplay between convexity notions in complex, symplectic, and contact geometries. Gain insights into pseudo-convexity, rational convexity, and their geometric counterparts.

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

IMSA

Discrete Group Actions on the Complex Projective Plane CP^2

Explore discrete group actions on CP^2, extending classical Kleinian group theory to higher dimensions. Gain insights into complex geometry and holomorphic dynamics.

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

Centre International de Rencontres Mathématiques

Real Structures on Hyper-Kähler Manifolds

Explore real structures on hyper-Kähler manifolds with Lie Fu, delving into advanced geometric concepts and their applications in mathematics.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

On the Metric Structure of Section Rings

Explore the metric structure of section rings in complex geometry, dynamical systems, and foliation theory through an in-depth mathematical analysis.

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

Centre International de Rencontres Mathématiques

Extension of Quasiplurisubharmonic Functions - 2022

Explore extension techniques for quasiplurisubharmonic functions in complex geometry, dynamical systems, and foliation theory. Gain insights from Dan Coman's conference talk at CIRM.

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

Centre International de Rencontres Mathématiques

Formal Principle for Rational Curves in Complex Threefolds

Explore formal principles for rational curves in complex threefolds, delving into advanced mathematical concepts in complex geometry and dynamical systems.

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

Western Hemisphere Virtual Symplectic Seminar

Kobayashi Non-Hyperbolicity of Calabi-Yau Manifolds via Mirror Symmetry

Explore Kobayashi non-hyperbolicity of Calabi-Yau manifolds through mirror symmetry. Gain insights into complex geometry, holomorphic curves, and Hodge theory in this advanced mathematical seminar.

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

IMSA

Double Groupoids and Generalized Kahler Structures

Explore double groupoids and generalized Kahler structures, focusing on holomorphic symplectic groupoids and their role in describing generalized Kahler metrics using a single real scalar function.

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

International Mathematical Union

Kähler Manifolds with Curvature Bounded Below

Explore Kähler manifolds with curvature bounded below, covering Yau's uniformization conjecture, compactification of manifolds, and Gromov-Hausdorff limits in this advanced mathematical survey.

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