Countable Subgroups of Homeomorphism Groups: Dimension One and Beyond - Lecture 3
Explore finitely generated subgroups of homeomorphism groups, focusing on regularity in dimension one and potential generalizations to higher dimensions.
Countable Subgroups of Homeomorphism Groups: Dimension One and Beyond - Lecture 4
Explore finitely generated subgroups of homeomorphism groups, focusing on regularity in dimension one and potential generalizations to higher dimensions.
Extension of Bershadsky-Polyakov Type Algebras
Explore toroidal shifted algebras and deformed W-algebras, focusing on extensions of Bershadsky-Polyakov type algebras in quantum symmetries.
Affine W-algebras - Lecture 4
Explore affine W-algebras construction via quantum Hamiltonian reduction. Delve into vertex algebra theory, Virasoro minimal models, and tensor categories of W-algebra representations.
W-algebras and Lax Operators - Lecture 5
Explore finite W-algebras, twisted Yangians, and Lax operators. Investigate relationships between these mathematical structures in quantum algebra and integrable systems.
W-algebras and Lax Operators - Lecture 3
Explore finite W-algebras, twisted Yangians, and Lax operators. Investigate relationships between these mathematical structures using advanced algebraic techniques.
Spectral Methods Meets Asymmetry: Two Recent Stories - Lecture 4
Explore spectral methods for asymmetric data matrices, covering top-K ranking and matrix de-noising. Learn advantages over traditional approaches in data analysis and estimation.
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.
Degeneracy Loci in Geometry and Combinatorics
Explore degeneracy loci in geometry, tracing their history and examining modern formulas connecting geometric concepts with Schubert polynomial combinatorics.
The Steklov Spectrum of Convex Euclidean Polygons
Explore upper bounds and inverse problems for Steklov eigenvalues of convex polygons. Discover how generic n-gons can be determined by their Steklov spectra using powerful spectral invariants.
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.
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.
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.
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.
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.