Spectral Theory of Stationary Spacetimes - Part I
Explore spectral theory in stationary spacetimes, delving into mathematical concepts at the intersection of relativity and quantum mechanics.
Initial Data Rigidity via Dirac-Witten Operators
Explore initial data rigidity in spin settings using Dirac-Witten operators. Derive a rigidity theorem for manifolds with boundary, examining dominant energy conditions and null expansion scalars.
Nonlinear Hyperbolic Conservation Laws on Manifolds
Explore nonlinear scalar hyperbolic equations on Riemannian varieties, covering existence, uniqueness, entropy conditions, finite-volume schemes, and numerical results.
Continuum Limits for Discrete Dirac Operators on 2D Square Lattices
Explore continuum limits of discrete Dirac operators on 2D square lattices, focusing on convergence in strong resolvent sense and implications for complex analysis and quantum theory.
Geometrically Induced Discrete Eigenvalues of Dirac Operators with Lorentz Scalar Delta-Shell Interactions
Explore geometrically induced discrete eigenvalues of Dirac operators with Lorentz scalar δ-shell interactions on broken lines, revealing novel spectral properties in quantum theory.
Schrödinger Operators with Oblique Transmission Conditions in R2
Explore Schrödinger operators with oblique transmission conditions, examining self-adjointness, spectral properties, and connections to Dirac operators with delta-potentials in quantum theory.
Schoen's Conjecture for Limits of Isoperimetric Surfaces
Explore Schoen's conjecture for asymptotically flat Riemannian manifolds, focusing on area-minimizing hypersurfaces and recent developments in mathematical relativity.
Globally Hyperbolic Anti-de Sitter Manifolds and Compact Clifford-Klein Forms
Explore globally hyperbolic anti-de Sitter manifolds and compact Clifford-Klein forms in advanced geometry, focusing on curvature and rigidity concepts.
A Unified Approach to Extremal Curves on Stiefel Manifolds
Explore extremal curves on Stiefel manifolds through a unified framework, examining Euler-Lagrange equations and their applications in applied mathematics.
Harmonic Maps and Random Walks on Countable Groups
Explore harmonic maps and random walks on countable groups, focusing on CAT(0) spaces and group actions with zero escape rate.
Quantitative Recurrence for Z-Extension of Three-Dimensional Axiom A Flows
Explore quantitative recurrence in Z-extension of Axiom A flows, focusing on first return time behavior and applications to geodesic flows on Z-cover of compact surfaces.
Frame PB-Groupoid of a VB-Groupoid
Explore properties of special principal bundles, focusing on frames of VB-groupoids and their relation to geometric connections and structures on Lie groupoids.
On Generalised Ricci Flow for Courant Algebroids
Explore generalised Ricci flow for Courant algebroids, delving into advanced mathematical concepts and their applications in physics and geometry.
Lie Derivative of Linear Connection and Its Applications
Explore the Lie derivative of linear connection and its applications with Frederik Ďalak, gaining insights into advanced mathematical physics concepts.
Jet Functors in Noncommutative Geometry
Explore jet functors in noncommutative geometry, delving into advanced mathematical concepts and their applications in theoretical physics.
Graded Jet Geometry - Part II
Explore advanced concepts in graded jet geometry, building upon foundational knowledge to delve into complex mathematical structures and their applications.
Basic Curvature and Atiyah Cocycle in Algebroids and Sigma Models
Explore torsion and curvature tensors in algebroids, their derivation for differential graded manifolds, and applications in sigma model BV theory.
Cubic and Non-cubic Dirac Operators - Applications in Algebraic and Differential Geometry
Explore algebraic Dirac operators, their cohomology, and applications in differential geometry. Delve into Vogan's construction and its generalizations.
Computational Mathematics: Dynamics, Geometry, and Algebra in Numerical Integration
Explore computational mathematics at the intersection of dynamics, geometry, and algebra, focusing on geometric numerical integration and structure-preserving discretization of differential equations.
HOMFLYPT Skein Curve Counts and Recursions
Explore HOMFLYPT skein theory, curve counting, and recursive techniques in knot theory with insights from Tobias Ekholm's advanced mathematical lecture.
HOMFLYPT - Skein Curve Counts and Recursions
Explore advanced mathematical concepts in skein theory, focusing on curve counts and recursive techniques in topology and knot theory.