Sticky Kakeya Sets and the Sticky Kakeya Conjecture
Explore the intriguing world of Kakeya sets and delve into the sticky Kakeya conjecture. Uncover groundbreaking insights on this fundamental problem in harmonic analysis and Fourier transform behavior.
Poisson Structures on Character Varieties
Explore Poisson structures on character varieties, examining maps between oriented surfaces and their impact on conjugacy classes of fundamental group representations into Lie groups.
Ensembles of Random Matrices with Complex Potentials - Workshop on Integrable Systems
Explorez les résultats rigoureux récents sur l'expansion topologique et le diagramme de phase dans les ensembles de matrices aléatoires avec potentiels complexes cubiques et quartiques.
Maximization of Neumann Eigenvalues under Diameter Constraint
Explore Neumann eigenvalue maximization under diameter constraints, delving into advanced spectral geometry concepts and mathematical analysis techniques.
A Tribute to John Harnad and Developments on Association Schemes
Explore John Harnad's influence and recent developments in higher rank association schemes through a personal account and mathematical overview.
Third-Order Eigenvalue Problems
Explore third-order eigenvalue problems with Maria Del Mar Gonzalez, delving into advanced mathematical concepts and their applications in spectral geometry.
Fractal Weyl Bounds
Explore fractal Weyl bounds in spectral geometry with Anke Pohl, delving into advanced mathematical concepts and their applications.
Twisted Ruelle Zeta Function on Locally Symmetric Spaces - Fried's Conjecture and Applications
Explore Twisted Ruelle zeta functions, Fried's conjecture, and applications in locally symmetric spaces. Gain insights into spectral geometry and refined analytic torsion.
Efficiently Chopping a Hyperbolic Surface in Two - Cheeger Constants and Spectral Geometry
Explore the Cheeger constant of hyperbolic surfaces, its relation to spectral gaps, and recent findings on its upper bound for large genus surfaces. Gain insights into cutting Riemannian manifolds efficiently.
Ruelle Zeta at Zero for Nearly Hyperbolic 3-Manifolds
Explorez la fonction zêta de Ruelle pour les variétés presque hyperboliques en 3D, en examinant ses propriétés spectrales et géométriques.
Matrix Spaces and Graphs: Connections and Applications
Explore connections between matrix spaces and graphs, uncovering surprising equivalences and their applications in theoretical computer science, quantum information theory, and algebra.
Ergodic Theory of the Stochastic Burgers Equation
Explorez la théorie ergodique de l'équation de Burgers stochastique, en examinant les distributions stationnaires et les propriétés à long terme des minimiseurs d'action lagrangienne aléatoires.
Random Plane Geometry - A Gentle Introduction
Explore random plane geometry and its scaling limits, focusing on first passage percolation and the directed landscape in Kardar-Parisi-Zhang models.
Polynomial-Time Power-Sum Decomposition of Polynomials - Efficient Algorithms and Applications
Explore efficient algorithms for power-sum decomposition of polynomials, improving on prior work for tensor decomposition and Gaussian mixture identifiability. Gain insights into numerical linear algebra and noise-resilient techniques.
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.
An Equation of Diophantus - Introduction to Torsion and Ranks of Elliptic Curves
Explore Diophantus' equation and its impact on number theory, from ancient times to modern developments in elliptic curves and their torsion and ranks.
The Magic of the Primes
Explore the fascinating world of prime numbers, their importance in mathematics and real-world applications, and recent progress on ancient mathematical questions.
An Excursion into Mean Curvature Flow
Explore mean curvature flow's regularity theory, focusing on distinctions between one-dimensional and higher-dimensional flows in this geometric analysis lecture.
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.