Helly Graphs and Injective Metric Spaces - Part 3
Explorez les graphes de Helly et les espaces métriques injectifs, leurs propriétés et constructions, en mettant l'accent sur les caractéristiques non positives et les applications géométriques.
Dense Embeddings of Hyperbolic Manifold Groups
Explore dense embeddings of hyperbolic manifold groups, focusing on amalgamated products and linear Lie groups. Learn strategies to control properties of output embeddings.
Profinite Rigidity, Triangle Groups, and Seifert Fibred Spaces
Explore profinite rigidity in 3-manifold groups, examining unique determination by finite images and distinctions between finitely presented and generated groups.
Exponentially Many Graphs Are Determined by Their Spectrum
Explore discrete analogues of Kac's question on "hearing the shape of a drum" and learn about graphs determined by their spectrum in this mathematical seminar.
Homological Aspects of Branching Laws in p-adic Groups
Explore homological aspects of branching laws for p-adic group representations, focusing on restriction to subgroups and projective representations in Bernstein blocks.
Hausdorff Dimension of Three-Dimensional Kakeya Sets
Explore groundbreaking research on Kakeya sets in R^3, uncovering a new lower bound for Hausdorff dimension and its implications in geometric measure theory.
Growth in Tensor Powers
Explore tensor power decomposition in group representations, focusing on asymptotic behavior and non-negligible summands using symmetric tensor category theory.
Curvature-Homogeneous Riemannian 3-Manifolds and Integrable Systems
Explore curvature-homogeneous Riemannian 3-manifolds, surveying known examples and recent discoveries. Delve into connections with integrable systems, particularly Toda lattices, to construct new explicit examples.
Knot Invariants from Finite Dimensional Integration
Explore finite dimensional integration for computing powerful knot invariants, surpassing traditional methods in efficiency and rigor while challenging established notions in knot theory.
Symplectic Topology, Stability Conditions and Quadratic Differentials
Explore connections between symplectic topology, stability conditions, and quadratic differentials in Fukaya categories and mapping class groups.
Symplectic Topology, Stability Conditions and Quadratic Differentials
Explore connections between symplectic topology, stability conditions, and quadratic differentials in Fukaya categories and mapping class groups.
Structure in the Search for Structure - Algebraic Number Theory and Motivic Cohomology
Explore algebraic number theory through analogies between numbers and shapes, including quadratic reciprocity and linking numbers, leading to insights on Tate's 1966 conjecture.
Asymptotic Orthogonality Relation for GL(n,R) - ICBS 2024
Explore generalized Dirichlet character orthogonality for GL(n,R), extending classical number theory to higher dimensions with applications.
Recent Progress in Ramsey Theory
Explore recent advancements in Ramsey Theory, focusing on new techniques and proofs related to Ramsey numbers and graph coloring. Gain insights into geometric, algebraic, probabilistic, and combinatorial methods.
Applications of Additive Combinatorics to Problems in Fractal Geometry
Explore applications of additive combinatorics in fractal geometry, focusing on self-similar sets with overlaps and recent advancements in the field.
The Singular Set of Stable Minimal Hypersurfaces
Explore stable minimal hypersurfaces, their singularities, and recent findings on constructing metrics with specific singular sets in higher dimensions.
Generic Dynamics of the Mean Curvature Flows
Explore generic dynamics of mean curvature flows, including perturbation of shrinkers and isolatedness of cylindrical singularities in hypersurface evolution.
Difference of Sums-of-Squares Decompositions for Polynomials - ICBS 2024
Explore advanced polynomial decomposition techniques, focusing on D-SOS and DC-SOS, to enhance understanding of algebraic structures and tackle complex optimization problems.
Equiangular Lines and Eigenvalue Multiplicity - ICBS 2024
Explore equiangular lines in high dimensions, solving a longstanding problem using spectral graph theory and discussing future research directions.
Optimal Immersions in the Calculus of Variations of Surfaces
Explore innovative minmax techniques for optimal surface immersions, including recent progress on Yau, Willmore, and 16π conjectures in calculus of variations.
Towards a Mod p Langlands Correspondence for GL2
Explore the mod $p$ Langlands correspondence for $\mathrm{GL}_2(K)$, examining conjectures and recent progress in this open area of mathematical research.