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.
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.
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.
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.
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.
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.
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.
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.
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.
"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.
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.
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.