Magnitude and Path Homology
Explore magnitude and path homology concepts with mathematician Sergei Ivanov, delving into homological algebra, algebraic topology, and simplicial homotopy theory.
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.
Point Counting over Finite Fields and the Cohomology of Moduli Spaces of Curves
Explore algebraic geometry through point counting over finite fields and cohomology of moduli spaces of curves, resolving longstanding questions and confirming Langlands program predictions.
Inequalities Between Neumann and Dirichlet Laplacian Eigenvalues on Planar Domains
Explore inequalities between Neumann and Dirichlet Laplacian eigenvalues on planar domains, generalizing Payne's theorem to simply connected Lipschitz domains using novel variational principles.
Geometric Stability of Weyl's Law and Applications to Asymptotic Spectral Shape Optimization
Explore geometric stability of Weyl's law and its applications to asymptotic spectral shape optimization, focusing on eigenvalue behavior in bounded Lipschitz domains.
A Quantitative Neumann Lemma for Finitely Generated Groups - Measured Group Theory
Explore coset covering functions in infinite, finitely generated groups. Discover lower bounds, linear growth in amenable groups, and exponential behavior in property (T) groups.
Higher Order KR-Modules, Imaginary Modules and Monoidal Categorification
Explore connections between cluster algebras, quantum affine algebras, imaginary modules, and representation theory of general linear groups over non-archimedean fields.
T-Shift on Reduced Plabic Graphs and Legendrian Weaves
Explorez les T-shifts sur les graphes plabiques réduits et les tissages légendrien pour interpréter topologiquement la structure de cluster des strates positroïdes du grassmannien.
Newton-Okounkov Bodies and Minimal Models for Cluster Varieties
Explore Newton-Okounkov bodies construction for line bundles on cluster variety minimal models, with applications to Grassmannians and flag varieties. Examine connections to representation theory polytopes.
The Deep Locus of Cluster Varieties
Explore the deep locus of cluster varieties, focusing on finite types with full rank and specific infinite types. Gain insights into applications for homological mirror symmetry of Grassmannians.
Monoidal Triangular Geometry with Applications to Representation Theory
Explorez la géométrie triangulaire monoïdale et ses applications à la théorie des représentations, en mettant l'accent sur les algèbres de Hopf de dimension finie et les catégories tensorielles finies.
The Method of Gauge Transform - Periodic and Ergodic Spectral Problems
Explorez la méthode de transformation de jauge et ses applications dans les problèmes spectraux, en mettant l'accent sur les aspects mathématiques avancés et les techniques analytiques.
On the Erdös-Ginzburg-Ziv Problem in Large Dimension
Explore the Erdös-Ginzburg-Ziv Problem in high dimensions with Professor Lisa Sauermann, delving into advanced combinatorics and number theory concepts.
A Random Hall-Paige Conjecture
Explore extremal combinatorics, focusing on Ramsey theory, Latin squares, and positional games. Delve into problems bridging combinatorics and algebra with an expert in the field.
Two Geometric Applications of the Linear Algebra Method
Explore geometric applications of linear algebra with János Pach, covering discrete geometry, convexity, and combinatorics in this research seminar.
From Quadratic Forms to Motivic Cohomologies
Explore the journey from quadratic forms to motivic cohomologies, delving into advanced mathematical concepts and their applications in algebraic geometry.
Large Steklov Eigenvalues Under Geometric Constraints
Explore large Steklov eigenvalues in compact Riemannian manifolds, examining geometric constraints and constructing metrics with fixed volume and boundary conditions.
Helly Graphs and Injective Metric Spaces - Lecture 4
Explore Helly graphs and injective metric spaces, focusing on nonpositive features, local properties, and geometric group applications in this advanced mathematical lecture.
Finitely Generated Normal Subgroups of RAAGs
Explore finitely generated normal subgroups of Right-Angled Artin Groups (RAAGs) in this mathematical deep dive into CAT(0) cube complexes.