Tensor Decomposition Algorithms via Algebraic Complexity
Explorez les algorithmes de décomposition tensorielle et leur lien avec les circuits arithmétiques, en examinant les cas moyens et les pires scénarios pour les tenseurs de faible rang.
Tensor Rank and Bias of Multilinear Forms Over Finite Fields
Explorez les liens entre le rang tensoriel et le biais des formes multilinéaires sur les corps finis dans cette conférence mathématique approfondie.
On the Subrank of Generic Tensors
Explorez les limites supérieures et inférieures du sous-rang des applications bilinéaires et tenseurs d'ordre supérieur génériques. Découvrez les mesures des multiplications indépendantes réductibles.
Complexity of Submanifolds and Colding-Minicozzi Entropy
Explore Colding-Minicozzi entropy's role in analyzing submanifold complexity and its applications to mean curvature flow singularities and hypersurface simplicity.
Finite Point Configurations in Euclidean, Discrete, and Arithmetic Settings
Explore finite point configurations across Euclidean, discrete, and arithmetic spaces. Discover size requirements for subsets containing congruent copies of given configurations, with connections to learning theory.
On Distortion Elements, Orderability and Regularity in Groups
Explore distortion elements in groups, examining their properties and implications for orderability and regularity in finitely-generated orderable groups.
Generalized Torsion Elements as Generalizations of Torsion Elements
Explore generalized torsion elements in group theory, their impact on bi-orderability, and connections to the Alexander polynomial. Gain insights into advanced mathematical concepts.
Countable Subgroups of Homeomorphism Groups: Dimension One and Beyond
Explore countable subgroups of homeomorphism groups, focusing on regularity in dimension one and potential generalizations to higher dimensions. Examine model theory applications.
Spaces of Actions on the Line
Explore finitely generated group actions on the line, examining compact laminations and Deroin spaces through examples and collaborative research insights.
Off-Diagonal Spectral Cluster Asymptotics on Zoll Manifolds
Explore off-diagonal spectral cluster asymptotics on Zoll manifolds, examining universal asymptotic behavior of spectral cluster kernels and implications for monochromatic random waves in Riemannian geometry.
Eigenvalues and Minimal Surfaces
Explore Laplace operator eigenvalues, their physical significance, and connection to minimal surfaces. Discover recent findings in isoperimetric eigenvalue problems for Riemannian surfaces.
Countable Subgroups of Homeomorphism Groups: Dimension One and Beyond - Lecture 1
Explore countable subgroups of homeomorphism groups, focusing on regularity in dimension one and potential generalizations to higher dimensions. Gain insights into model theory applications.
Introduction to Order Structures in Groups - Lecture 4
Explore order structures in groups, covering total orders, algebraic structures, and essential tools. Gain insights into open problems and active research areas in the field.
Countable Subgroups of Homeomorphism Groups: Dimension One and Beyond - Lecture 2
Explore finitely generated subgroups of homeomorphism groups, focusing on regularity in dimension one and potential generalizations to higher dimensions.
Countable Subgroups of Homeomorphism Groups: Dimension One and Beyond - Lecture 3
Explore finitely generated subgroups of homeomorphism groups, focusing on regularity in dimension one and potential generalizations to higher dimensions.
Countable Subgroups of Homeomorphism Groups: Dimension One and Beyond - Lecture 4
Explore finitely generated subgroups of homeomorphism groups, focusing on regularity in dimension one and potential generalizations to higher dimensions.
Introduction to Order Structures in Groups - Lecture 2
Explore various total orders on groups, their relationships with algebraic structures, and essential tools like dynamical realization and the Burns-Hale theorem.
Introduction to Order Structures in Groups - Lecture 1
Explore various types of total orders on groups, their relationships with algebraic structures, and essential tools like dynamical realization and the Burns-Hale theorem.
The Structure of Homeomorphism Groups - Part I
Explore the rich algebraic structure of homeomorphism groups, their relation to manifold topology, and dynamics of group actions on manifolds.
Helly Graphs and Injective Metric Spaces - Part 2
Explorez les graphes de Helly et les espaces métriques injectifs, leurs propriétés et constructions, en mettant l'accent sur les aspects géométriques et les applications aux groupes mathématiques.
Automorphisms of Groups and Higher Rank JSJ Decomposition
Explore automorphisms of hierarchically hyperbolic groups and a generalized JSJ decomposition, encoding algebraic structure and dynamics of automorphisms in higher rank settings.