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.
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.
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.
Volume Conjecture for Surface Diffeomorphisms
Explore quantum invariants for surface diffeomorphisms and their connection to mapping torus volume. Examine representation theory, numerical evidence, and a proof for the figure-eight knot complement case.
Smooth 2-Groups and Their Principal Bundles
Explore smooth 2-groups and principal bundles in Lie groupoids. Learn about categorical generalizations of groups and their applications in mathematics.
New Isoperimetric Inequalities and Their Applications to Systolic Geometry and Minimal Surfaces
Explore new isoperimetric inequalities for k-dimensional submanifolds, their applications to systolic geometry, and implications for minimal submanifolds in this mathematical colloquium.
On the Critical Points of Steklov Eigenfunctions
Explore critical points of Steklov eigenfunctions on Riemannian manifolds, examining relationships between eigenfunction indexes, boundary behavior, and Euler characteristics.
An Overdetermined Eigenvalue Problem and the Critical Catenoid Conjecture
Explore an overdetermined eigenvalue problem on the two-sphere and its implications for characterizing the critical catenoid as a unique embedded free boundary minimal annulus.
A Weighted Reilly Formula for Differential Forms and Sharp Steklov Eigenvalue Estimates - Lecture
Explore weighted Reilly formula for differential forms and its applications in sharp Steklov eigenvalue estimates. Gain insights into spectral geometry and related open problems.
Interactions Between Computers and Spectral Geometry
Explorez les avancées récentes en géométrie spectrale, mettant en lumière le rôle crucial de l'assistance informatique dans les découvertes et les défis futurs.
Minimal Surfaces and the Isoperimetric Inequality
Explore the generalization of the isoperimetric inequality to submanifolds in Euclidean space, focusing on minimal submanifolds and their sharp isoperimetric properties.
Scalar Curvature Rigidity of Polytopes
Explore Riemannian metrics and scalar curvature positivity in differential geometry. Delve into Gromov's comparison principle for polytopes and recent advancements in verifying his conjecture.
Singularity Models in 3D Ricci Flow
Explore singularity formation in 3D Ricci flow, examining recent developments leading to a complete classification of singularity models beyond Perelman's breakthrough.
Free Boundary Minimal Surfaces in Geodesic Balls in Hyperbolic Space and Upper Half-Sphere
Explore free boundary minimal surfaces in geodesic balls, connecting immersions in spherical caps to maximal metrics and extending results to hyperbolic space and upper half-sphere.
Steklov Eigenvalues in Negatively Curved Manifolds
Explore Steklov eigenvalue problem in negatively curved manifolds, focusing on lower bounds and relationships with volume and boundary area in dimensions 3 and higher.
Hyperbolic Manifolds in Dimension Higher Than 3
Explore hyperbolic manifolds in dimensions 4 and higher, examining their properties, challenges in description, and current understanding in topology.
The Rescaling Method on Subvarieties of Bounded Symmetric Domains
Explore the rescaling method for algebraic subvarieties of bounded symmetric domains, examining holomorphic isometries and their applications to complex geometry and algebraic theory.
Moduli of Curves and Moduli of Sheaves - Relationships and Correspondences
Explore relationships between moduli spaces of curves, maps, and sheaves, from GW/DT correspondence to connections with K3 surfaces and abelian varieties moduli.
Skein Valued Counts of Open Curves in Calabi-Yau Threefolds
Explore holomorphic curve counting in Calabi-Yau threefolds using HOMFLYPT skein module, examining deformation invariance and recursion relations in non-compact cases.
Positive Scalar Curvature on Manifolds and Foliations - ICBS 2024
Explore recent advances in positive scalar curvature metrics on manifolds and foliations, a key topic in differential geometry.