The Relative Trace Formula in Electromagnetic Scattering
Explore electromagnetic scattering through a relative trace formula, examining perfectly conducting obstacles' impact on fields and the challenges posed by Maxwell's equations.
Hadamard States for Maxwell Fields via Complete Gauge Fixing
Explore Hadamard states for Maxwell fields through complete gauge fixing, delving into spectral theory and mathematical relativity concepts.
New Proposal for Renormalisation Group Equations on Curved Spacetimes
Explore new renormalisation group equations for curved spacetimes, focusing on perturbative algebraic quantum field theory and flow equations applicable to arbitrary globally hyperbolic spacetimes.
Obstruction-Free Gluing for the Einstein Equations
Explore a novel approach to gluing solutions of Einstein equations, removing obstructions and utilizing nonlinearity of constraint equations in General Relativity.
Semi-Classical Analysis of Strong Cosmic Censorship - Lecture
Explore semi-classical analysis of strong cosmic censorship in General Relativity. Delve into quantum effects on Cauchy horizons and their implications for determinism in black hole spacetimes.
Uniqueness and Non-Uniqueness for Percolation on Groups
Explore percolation theory on groups, examining uniqueness and non-uniqueness of infinite clusters and their connections to group-theoretic concepts.
Entanglement in Matrix Quantum Mechanics
Explore entanglement in Matrix Quantum Mechanics and its role in emergent geometry, holography, and string theory. Gain insights into recent developments and their implications for AdS/CFT.
Entanglement of Internal Degrees of Freedom and Holography in Large-N Matrix Models
Explore entanglement in large N matrix theories, focusing on internal degrees of freedom and their role in holography, emergence of smooth internal spaces, and geometrization of symmetries.
Classical Identification of Emergent Geometries in AdS Spacetimes and Quantum Projector Detection
Explore quantum projector identification in AdS/CFT, examining complexity in symmetric group algebras and holographic implications for half-BPS states in N=4 SYM.
Elements of General Relativity - Lecture 2
Explore advanced concepts in general relativity, focusing on geometry beyond Riemann and examining curvature and rigidity in spacetime.
Elements of General Relativity - Lecture 3
Explore advanced concepts in general relativity, focusing on geometry beyond Riemann and examining curvature and rigidity in spacetime.
Recent Numerical Results on D0-Brane Matrix Model
Explore latest numerical simulations of D0-brane matrix model, confirming duality with type IIA superstring theory and uncovering new insights into M-theory and black holes.
Renormalization Group and Quantum Error Correction in Continuum Networks
Explore renormalization group and quantum error correction in tensor network models, deriving exact equations for wave functional scale dependence and discussing continuum network structures.
Lorentzian IKKT Matrix Model with Mass Term as Nonperturbative Formulation of Superstring Theory
Explore the Lorentzian IKKT matrix model with mass term as a nonperturbative superstring theory formulation. Delve into regularization, classical solutions, and potential emergence of expanding spacetime.
Recent Progress in Numerical Studies of the Lorentzian IKKT Model
Explore recent numerical studies of the Lorentzian IKKT matrix model, including the Complex Langevin Method and the effects of adding a Lorentz invariant mass term.
A Wilsonian Effective Action for (1+3+6)-Dimensional Emergent Universes in the IKKT Model
Explore the IKKT model's potential for describing Type IIB superstring theory and its emergent universe solutions, focusing on the natural emergence of Lorentz invariant mass terms.
Emergent Metric Space-Time and Early Universe Cosmology from the BFSS Matrix Model
Explore emergent space-time and early universe cosmology from the BFSS matrix model, examining thermal fluctuations and cosmological perturbations without inflation.
Lorentzian Length Spaces: An Introduction to Synthetic Lorentzian Geometry
Explore synthetic Lorentzian geometry foundations, focusing on time separation functions, curvature bounds, and applications in General Relativity, including recent developments in singularity theorems.
From Newton's Laws to Fluid Mechanics: Deriving the Boltzmann Equation - Award Lecture
Explore the derivation of fluid mechanics equations from Newton's laws, examining irreversibility and propagation of chaos in the context of Boltzmann's kinetic theory.
Clouds - Their Formation and Importance for Present and Future Climate
Explore cloud formation, aerosol impacts on climate, and potential cloud modification strategies to mitigate global warming. Gain insights into atmospheric science and climate change.
Reliable AI: Successes, Challenges, and Limitations
Explore mathematical approaches to reliable AI, including generalization guarantees, explainability, and applications in imaging and physics, while discussing limitations and connections to novel computing.