Symmetries of 4-Manifolds - Part 2
Explore advanced concepts in 4-manifold symmetries, building on previous knowledge and delving into complex mathematical theories.
Linear Programming Bounds for Hyperbolic Surfaces
Explore new upper bounds on geometric and spectral invariants of closed hyperbolic surfaces using the Selberg trace formula and linear programming techniques.
Linear Programming Bounds for Hyperbolic Surfaces - Seminar on Spectral Geometry
Explore linear programming bounds for hyperbolic surfaces, examining closed geodesics and Laplace eigenvalues. Gain insights into quantitative behavior and predominance in Riemannian metrics.
Curvature Contribution to the Essential Spectrum of Dirac Operators with Critical Shell Interactions
Explore the essential spectrum of 3D Dirac operators with critical shell interactions, examining how surface geometry influences spectral properties in quantum mechanics.
The Structure of Homeomorphism Groups - Lecture 3
Explore the algebraic and topological structures of homeomorphism groups, their relation to manifold topology, and dynamics of group actions.
Towards an Optimal Spectral Gap Result for Random Compact Hyperbolic Surfaces
Explore recent progress in proving near-optimal spectral gaps for hyperbolic surfaces. Delve into trace methods, challenges, and new tools developed to improve bounds in spectral geometry.
An Introduction to Rigid Local Systems
Explorez les systèmes locaux rigides, leurs propriétés et applications en géométrie et théorie des nombres. Découvrez les avancées récentes et la conjecture de Simpson sur leur origine géométrique.
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.
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.
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.
K-tilings of the Aztec Diamond
Explore K-tilings of the Aztec diamond, a fascinating mathematical concept in integrable systems and exactly solvable models.
Cluster Algebras and Hyperbolic Geometry
Explore the application of cluster algebra to 2D and 3D hyperbolic geometry, examining ideal triangulations, Teichmuller spaces, and knot volumes through mutations and cluster variables.
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.
Orderability of 3-Manifold Groups and the L-Space Conjecture
Explore orderability of 3-manifold groups, focusing on the L-space conjecture and its connections to group orderability, taut foliations, and Heegaard Floer homology in hyperbolic 3-manifolds.
Small Cusped Hyperbolic 3-Manifolds and Order-Preserving Braids
Explore minimal-volume cusped hyperbolic 3-manifolds and their fundamental groups' orderability. Investigate order-preserving braids and their impact on Artin actions.