Locality Galois Group of Meromorphic Germs in Several Variables
Explore the structure of meromorphic germs in several variables through locality algebras, focusing on multiple zeta functions and Feynman integrals. Discover applications in analytic renormalisation.
Scalar Quantum Fields on 4-Dimensional Noncommutative Geometry
Explore milestones in renormalisable and solvable scalar QFT models on 4D noncommutative geometry, reflecting on a 25-year collaboration.
Noncommutative U(1) Gauge Theory in the Semiclassical Limit
Explore U(1) gauge theory on Poisson manifolds as a semiclassical limit of noncommutative spacetimes. Examine gauge potentials, transformations, and symplectic realizations in Poisson electrodynamics.
On the Regularity Implied by the Assumptions of Geometry
Explore the theory of Regularity Transformation equations and their impact on non-regular spacetime geometry, including applications in General Relativity and Einstein-Euler equations.
Numerical Approaches to Modelling Curved Surfaces
Explore numerical methods for modeling curved surfaces, focusing on applications in physics and biology.
Global Well-Posedness and Scattering for the Conformal Nonlinear Wave Equation
Explore global well-posedness and scattering in conformal nonlinear wave equations with Benjamin Dodson's in-depth mathematical analysis.
The Korteweg-de Vries Hierarchy in Rough Function Spaces
Explore the Korteweg-de Vries hierarchy in rough function spaces, focusing on wellposedness and the Miura map's role in translating to the Gardner hierarchy.
Finite Point Blowup for the Critical Generalized Korteweg-de Vries Equation
Explore finite point blowup in critical generalized KdV equations, uncovering new blow-up dynamics and rates. Gain insights into recent advancements in nonlinear wave theory.
BMS Representations in Diffeomorphism Groups - Symmetry and Theory
Explore BMS symmetry and its generalizations as subgroups of the diffeomorphism group, delving into associated representation theory aspects.
Anti-de Sitter Geometry and Applications to Hyperbolic Surfaces - Lecture 4
Explore Anti-de Sitter geometry and its applications to hyperbolic surfaces in this advanced mathematics lecture by Andrea Seppi.
Anti-de Sitter Geometry and Applications to Hyperbolic Surfaces - Part II
Explore Anti-de Sitter geometry and its applications to hyperbolic surfaces in this advanced mathematics lecture by Andrea Seppi.
Anti-de Sitter Geometry and Applications to Hyperbolic Surfaces - Part I
Explore Anti-de Sitter geometry and its applications to hyperbolic surfaces in this advanced mathematics lecture by Andrea Seppi.
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 - Lecture 4
Explore advanced concepts in spectral theory applied to stationary spacetimes, delving into mathematical relativity and its implications for understanding spacetime structures.
Classically Forbidden Regions and Analytic Hypoellipticity in Spectral Theory
Explore analytic microlocal methods in condensed matter physics, focusing on magic angles in graphene and eigenfunction decay. Discover insights from numerical simulations and potential research directions.
Spectral Theory of Stationary Spacetimes - Lecture 3
Explore advanced concepts in spectral theory of stationary spacetimes, building on previous lectures in the series.
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.
Exploring Boundary Conditions of Bicolored Maps: Universal Behaviors and New Structures
Explore boundary conditions of bicolored maps, uncovering universal behaviors and new structures in map enumeration and random map models.
One-Loop Renormalizability of the Spectral Action Using Cyclic Cocycles
Explore one-loop renormalizability of the spectral action principle using cyclic cocycles, uncovering its cyclic structure and connections to ribbon graphs in non-commutative geometry.
X-Y Symplectic Transformation in Topological Recursion and Applications - Lecture 3
Explore x-y symplectic transformation in topological recursion and its applications through an advanced mathematical lecture by Alexander Hock.
X-Y Symplectic Transformation in Topological Recursion and Applications - Lecture 2
Explore x-y symplectic transformations in topological recursion and their applications through an advanced mathematical lecture.