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#Lorentzian Manifolds

Showing: 12 courses
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

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

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Explore Feynman and anti-Feynman inverses for wave operators on Lorentzian manifolds, connecting to self-adjointness and positivity properties of wave operators.
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1 Lesons
54 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Spectral Theory of Stationary Spacetimes - Part II

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Explore advanced concepts in spectral theory applied to stationary spacetimes, building on foundational knowledge in mathematical relativity and quantum mechanics.
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1 Lesons
1 hour 6 minutes
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Free-Video
Centrum Fizyki Teoretycznej PAN

Spacetime G-structures - Lecture 3

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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.
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1 Lesons
1 hour 10 minutes
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Free-Video
Centrum Fizyki Teoretycznej PAN

Spacetime G-structures - Lecture 2

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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.
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1 Lesons
1 hour 11 minutes
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Free-Video
Centrum Fizyki Teoretycznej PAN

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

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Explore spacetime G-structures, focusing on Klein models, associated G-structures, and intrinsic torsion classification for Carrollian, Galilean, and Lorentzian geometries in theoretical physics.
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1 Lesons
1 hour 10 minutes
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Free-Video
NCCR SwissMAP

Lorentzian Calderón Problem Under Curvature Bounds

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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.
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1 Lesons
1 hour
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Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Seeing Through Space-Time - IPAM at UCLA

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Explore inverse problems in spacetime structure, light observation sets, and cosmic microwave background, delving into mathematical challenges in gravitational wave astronomy.
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24 Lesons
1 hour 16 minutes
On-Demand
Free-Video
International Mathematical Union

Recent Progress in General Relativity

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Explore recent advancements in general relativity, covering topics from Lorentzian manifolds to black hole stability and many-black-hole spacetimes.
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18 Lesons
45 minutes
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Free-Video
ICTP Mathematics

Some Geometric Properties of Spacetime - Lecture 4

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

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Explore the Causal Boundary construction in spacetime geometry, focusing on generic spacetimes and conditions for continuous metric extension to the Future Causal Boundary.
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1 Lesons
46 minutes
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Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

On the Uniqueness Problem for Spacetime Extensions

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Explore uniqueness conditions for Lorentzian manifold extensions, analyzing boundary agreement and presenting recent findings on necessary conditions and non-uniqueness mechanisms.
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1 Lesons
47 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Feynman Propagators on Curved Spacetime

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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.
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1 Lesons
57 minutes
On-Demand
Free-Video