Commutative Algebra and Algebraic Geometry - 15th ALGA
Explore advanced topics in Commutative Algebra and Algebraic Geometry with expert Alexander Schmitt at the 15th ALGA conference. Gain insights into cutting-edge research and developments in these mathematical fields.
Commutative Algebra and Algebraic Geometry - 15th ALGA
Explore advanced topics in Commutative Algebra and Algebraic Geometry with Rob Silversmith at the 15th ALGA conference. Gain insights from leading experts in the field at IMPA, Rio de Janeiro.
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.
Dual of the Dual Formula for Distance in Noncommutative Geometry
Explore Connes's spectral distance and its dual formula in noncommutative geometry, extending Kantorovich's and Beckmann's concepts from optimal transport theory.
Tamed Spaces: Dirichlet Spaces with Distribution-Valued Ricci Bounds
Explore Dirichlet spaces with distribution-valued Ricci bounds, focusing on tamed spaces theory and singular perturbations of Dirichlet form. Investigate integrated Bochner inequality and Bakry-Émery condition generalizations.
Differentiating in a Non-Differentiable Environment
Explore differentiation in non-differentiable spaces, extending beyond traditional smooth manifolds to spaces with Ricci curvature bounds. Gain insights into advanced mathematical concepts.
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.
Abstract Null Geometry, the Constraint Tensor and Applications
Explore abstract null geometry, constraint tensors, and their applications in non-regular spacetime, degenerate horizons, and Einstein field equations.
A Lorentzian Analog for Hausdorff Dimension and Measure
Explore a novel approach to geometric dimension in Lorentzian spaces, comparing it to Hausdorff dimension and examining applications in spacetime analysis and synthetic curvature bounds.
Lorentzian Functors and Closures of Relevant Subsets of Lorentzian Gromov-Hausdorff Space
Explore recent advances in Lorentzian length spaces theory, including stability of properties, denseness of causal spacetimes, and geometric conditions for Radon measures in Lorentzian Gromov-Hausdorff space.
Synthetic Time-like Ricci Curvature Lower Bounds: The Isoperimetric Inequality
Explore synthetic timelike Ricci curvature lower bounds and their implications for isoperimetric inequality in Lorentzian synthetic spaces.
Characterisation of Area-Strict Limits of Planar BV Homeomorphisms
Explore area-strict limits of planar BV homeomorphisms, focusing on cavitations, fractures, and the no-crossing condition in elastic deformations.
Kato Meets Bakry-Émery: Curvature Conditions in Riemannian Geometry
Explore the relationship between Bakry-Émery curvature-dimension and Kato condition on Ricci curvature, uncovering insights on Kato limit spaces and Riemannian manifolds.
Sample Size Estimates for Risk-Neutral Semilinear PDE-Constrained Optimization
Explore sample size estimates for risk-neutral semilinear PDE-constrained optimization using SAA approach, covering nonasymptotic analysis and numerical illustrations.
Nonmonotone Forward-Backward Splitting Method for Infinite-Dimensional Optimization Problems
Explore nonmonotone forward-backward splitting for nonsmooth composite problems in Hilbert spaces, covering convergence analysis, complexity, and numerical experiments.
CCCP is Frank-Wolfe in Disguise - Connecting Optimization Methods
Uncover the surprising connection between CCCP and Frank-Wolfe methods, gaining insights and transferring convergence theory for nonconvex optimization problems.
Constraint Qualification and the Existence of Multipliers for Nonconvex Infinite-Dimensional Optimization Problems
Explore constraint qualifications and Lagrange multipliers for infinite-constrained optimization problems in Banach spaces, focusing on non-surjective derivative cases.
Progressive Decoupling of Dynamics in Convex Optimal Control
Explore progressive decoupling in convex optimization for optimal control, connecting classical calculus of variations with modern convex analysis and duality concepts.
Failure of the Curvature-Dimension Condition in Sub-Finsler Manifolds
Explore the failure of curvature-dimension conditions in sub-Finsler manifolds, focusing on recent proofs and implications for sub-Riemannian geometry and the Heisenberg group.