Inequalities Between Neumann and Dirichlet Laplacian Eigenvalues on Planar Domains
Explore inequalities between Neumann and Dirichlet Laplacian eigenvalues on planar domains, generalizing Payne's theorem to simply connected Lipschitz domains using novel variational principles.
Geometric Stability of Weyl's Law and Applications to Asymptotic Spectral Shape Optimization
Explore geometric stability of Weyl's law and its applications to asymptotic spectral shape optimization, focusing on eigenvalue behavior in bounded Lipschitz domains.
On Strong Solutions of Time Inhomogeneous Itô's Equations with Morrey Diffusion Gradient and Drift - CSMQ Colloquium
Explore strong solutions of time-dependent Itô's equations with irregular diffusion and drift terms in Morrey spaces, including existence, uniqueness, and related parabolic equations.
Complex Analysis, Thick Sets, and Spectral Inequalities
Explorez l'analyse complexe, les ensembles épais et les inégalités spectrales appliqués à la théorie du contrôle et à la géométrie spectrale. Découvrez des techniques analytiques complexes pour les domaines et opérateurs.
One-ended Spanning Trees in Amenable Group Actions
Explore one-ended spanning trees in free Borel actions of amenable groups, with applications to Borel combinatorics. Discover related results in Baire measurable and Borel settings.
Component Finite Subgraphs of Treeings
Explore upper and lower bounds on measurable component finite subgraphs of regular treeings, with focus on hyperfinite subgraphs and probabilistic combinatorics.
A Quantitative Neumann Lemma for Finitely Generated Groups - Measured Group Theory
Explore coset covering functions in infinite, finitely generated groups. Discover lower bounds, linear growth in amenable groups, and exponential behavior in property (T) groups.
Poisson Boundaries Without Moment Conditions for Hyperbolic Groups
Explore advanced techniques for identifying Poisson boundaries of hyperbolic groups, focusing on the innovative "pin down approximation criterion" for finite entropy measures without moment assumptions.
Unimodular Galton-Watson Treeings and Irregular Random Graphs - Almost Ramanujan
Explore spectral radii in graph limit theory, focusing on Unimodular Galton-Watson trees and irregular random graphs. Discover insights into the relationship between local and global graph properties.
Realizations of Equivalence Relations and Subshifts
Explore countable Borel equivalence relations, continuous actions on compact spaces, and subshifts. Investigate complexity and genericity of properties like hyperfiniteness in the space of subshifts.
Connes-Weiss and Glasner-Weiss Theorems for Kazhdan Equivalence Relations and Cost - Lecture
Explore Connes-Weiss & Glasner-Weiss theorems for Kazhdan equivalence relations, extending to measured equivalence relations and simplifying proofs for groupoid cost.
Divisibility of Spheres with Measurable Pieces - Oleg Pikhurko
Explore divisibility of spheres with measurable pieces, focusing on Euclidean (d-1)-dimensional sphere S^(d-1) and special orthogonal matrices. Examine impossibility of measurable divisibility for generic rotations.
A Substitute for Kazhdan's Property (T) for Universal Non-Lattices - Lecture
Explore computer-assisted methods for proving property (T) in geometric group theory, including recent developments and human efforts to understand these proofs.
A Borel Local Lemma for Finite Asymptotic Separation Index
Explore a Borel version of the Lovász Local Lemma for graphs with finite asymptotic separation index, improving measurable local lemma exponents and extending to exponential growth groups.
Measure Equivalence and Wreath Products in Group Theory
Explore measure equivalence and wreath products in group theory, focusing on nonabelian free groups and orbit equivalence of wreath products.
Stationary Random Subgroups and Injectivity Radius in Negative Curvature
Explore stationary random subgroups and injectivity radius in negative curvature, focusing on rank one simple Lie groups and hyperbolic manifolds. Gain insights into recent theorems and their applications.
Critical Well-Posedness for the Derivative Nonlinear Schrödinger Equation on the Line
Explore critical well-posedness for the derivative nonlinear Schrödinger equation on the line, focusing on recent advancements in resolving the problem in critical space.
Branching Processes in Random Matrix Theory and Analytic Number Theory
Explore branching processes in random matrix theory and analytic number theory, focusing on limiting distributions, log-correlated phenomena, and recent conjectures about maxima of characteristic polynomials and L-functions.
Higher Auslander Algebras and Higher Representation Finite Algebras
Explore higher Auslander algebras, their construction methods, and connections to representation theory. Gain insights into recent developments and applications in algebra and representation theory.
Higher Order KR-Modules, Imaginary Modules and Monoidal Categorification
Explore connections between cluster algebras, quantum affine algebras, imaginary modules, and representation theory of general linear groups over non-archimedean fields.
Embeddings of Kac-Moody Affine Grassmannian Slices
Explorez les développements récents dans la théorie des représentations géométriques, en se concentrant sur les tranches de Grassmanniennes affines de type Kac-Moody et leur construction via les branches de Coulomb.