Lorentzian Manifolds Courses and Certifications

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Geometry of Weighted Finsler Spacetimes

Explore the theory of weighted Lorentz-Finsler manifolds, including Ricci curvature, singularity theorems, and comparison theorems in this generalized spacetime framework.

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

International Mathematical Union

Recent Progress in General Relativity

Explore recent advancements in general relativity, covering topics from Lorentzian manifolds to black hole stability and many-black-hole spacetimes.

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

ICTP Mathematics

Some Geometric Properties of Spacetime - Lecture 4

Explore geometric properties of spacetime with Richard Schoen, delving into advanced concepts in gravity and mathematics for a deeper understanding of our universe.

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

Institute for Pure & Applied Mathematics (IPAM)

Seeing Through Space-Time - IPAM at UCLA

Explore inverse problems in spacetime structure, light observation sets, and cosmic microwave background, delving into mathematical challenges in gravitational wave astronomy.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

"Nice" Future Causal Boundary at Finite Distance and Low-Regularity Extension

Explore the Causal Boundary construction in spacetime geometry, focusing on generic spacetimes and conditions for continuous metric extension to the Future Causal Boundary.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

On the Uniqueness Problem for Spacetime Extensions

Explore uniqueness conditions for Lorentzian manifold extensions, analyzing boundary agreement and presenting recent findings on necessary conditions and non-uniqueness mechanisms.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

The Feynman Propagator and Self-Adjointness in Wave Operators - Lecture

Explore Feynman and anti-Feynman inverses for wave operators on Lorentzian manifolds, connecting to self-adjointness and positivity properties of wave operators.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Feynman Propagators on Curved Spacetime

Explore Feynman propagators on curved spacetime, their construction, and connection to quantum states. Delve into microlocal techniques and their application to wave and Dirac-type operators.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Spectral Theory of Stationary Spacetimes - Part II

Explore advanced concepts in spectral theory applied to stationary spacetimes, building on foundational knowledge in mathematical relativity and quantum mechanics.

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

NCCR SwissMAP

Lorentzian Calderón Problem Under Curvature Bounds

Explore analytic techniques in dynamics and geometry, focusing on the Lorentzian Calderón problem with curvature bounds. Gain insights from expert L. Oksanen of the University of Helsinki.

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

Harvard CMSA

The Feynman Propagator and Self-Adjointness

Delve into wave operators on Lorentzian manifolds, exploring Feynman and anti-Feynman inverses, their connection to self-adjointness, and spectral family properties in relativistic contexts.

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

Fields Institute

General Relativity Winter School - Lecture 3

Explore Einstein's general relativity theory through advanced mathematical frameworks and spacetime geometry concepts in this specialized physics lecture.

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