Minkowski Space Courses and Certifications

International Centre for Theoretical Sciences

Zero Mean Curvature Surfaces in Lorentz Minkowski Spaces - Lecture 2

Explore zero mean curvature surfaces in Lorentz-Minkowski spaces with expert Shoichi Fujimori. Delve into advanced geometric concepts and their applications in this specialized lecture.

• YouTube
• 1 hour 24 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Zero Mean Curvature Surfaces in Lorentz Minkowski Spaces - Lecture 1

Explore zero mean curvature surfaces in Lorentz-Minkowski spaces with expert Shoichi Fujimori. Gain insights into this evolving field of mathematical research and its applications.

• YouTube
• 1 hour 30 minutes
• Self-Paced
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

A Lorentzian Analog for Hausdorff Dimension and Measure

Explore a novel approach to geometric dimension in Lorentzian spaces, comparing it to Hausdorff dimension and examining applications in spacetime analysis and synthetic curvature bounds.

• YouTube
• 36 minutes
• Self-Paced
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Existence and Stability of Corotational Wave Maps into Perturbed Spheres

Explore corotational wave maps from Minkowski space to perturbed spheres, examining existence and stability of self-similar solutions in energy-supercritical scenarios.

• YouTube
• 13 minutes
• Self-Paced
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Expansion Thresholds for the Stability of Cosmological Fluids

Explore stability thresholds for cosmological fluids in expanding universes. Examine recent progress on homogeneous fluid states and their dependence on expansion rates.

• YouTube
• 17 minutes
• Self-Paced
• Free Video

Centre International de Rencontres Mathématiques

Number Theory Through Geometry, Dynamics and Illustration - Lecture 1

Explore number theory through geometry and dynamics, focusing on continued fractions, Diophantine approximation, and Apollonian circle packings. Emphasizes visual and experimental tools in mathematical research.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

Centre International de Rencontres Mathématiques

Number Theory Through Geometry, Dynamics and Illustration - Lecture 3

Explore number theory through geometry and dynamics, focusing on continued fractions, Diophantine approximation, and Apollonian circle packings. Emphasizes visual and experimental tools in mathematical research.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Centre International de Rencontres Mathématiques

Number Theory Through Geometry, Dynamics and Illustration - Lecture 2

Explore number theory through geometry and dynamics, focusing on continued fractions, Diophantine approximation, and Apollonian circle packings. Emphasizes visual and experimental tools in mathematical research.

• YouTube
• 54 minutes
• Self-Paced
• Free Video

HyperComplex Seminar

Non-linear Electrodynamics Derived from Kaluza-Klein 5-Dimensional Gravity

Explore non-linear electrodynamics derived from Kaluza-Klein theory, examining unique Maxwell equation generalizations and potential static solutions as electron models.

• YouTube
• 55 minutes
• Self-Paced
• Free Video

Centrum Fizyki Teoretycznej PAN

Spacetime G-structures - Lecture 3

Explore spacetime G-structures, focusing on Klein models, associated G-structures, and intrinsic torsion. Gain insights into carrollian, galilean, and lorentzian geometries and their applications in physics.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

Centrum Fizyki Teoretycznej PAN

Spacetime G-structures - Lecture 2

Explore advanced concepts in spacetime geometry, focusing on G-structures and their intrinsic torsion. Gain insights into Carrollian, Galilean, and Lorentzian geometries and their applications in physics.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

Centrum Fizyki Teoretycznej PAN

Spacetime G-structures I - Introduction to Klein Models and Associated Geometries

Explore spacetime G-structures, focusing on Klein models, associated G-structures, and intrinsic torsion classification for Carrollian, Galilean, and Lorentzian geometries in theoretical physics.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

Centrum Fizyki Teoretycznej PAN

Wave Equation in 4D Spacetime - Introduction to Electrodynamics and Theory of Relativity

Explore wave equations in 4D spacetime, delving into electrodynamics and relativity theory with Professor Jerzy Kijowski's advanced physics lecture.

• YouTube
• 1 hour 42 minutes
• Self-Paced
• Free Video

Isaac Newton Institute for Mathematical Sciences

From the Origins of Twistor Theory to Bi-Twistors and Curved Space-Times

Explore the origins and evolution of twistor theory, from its quantum field theory roots to applications in curved space-times, with Professor Roger Penrose.

• YouTube
• 1 hour 13 minutes
• Self-Paced
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Vector Fields on the Hyperbolic Plane and Surfaces in Half-Pipe Space

Explore the relationship between vector fields on hyperbolic planes and surfaces in half-pipe space, examining Mess's ideas and their applications in Teichmüller theory and geometric extensions.

• YouTube
• 47 minutes
• Self-Paced
• Free Video