Finiteness Questions for Étale Coverings with Bounded Wild Ramification at the Boundary
Explore finiteness questions for étale coverings with bounded wild ramification at the boundary in characteristic p>0 algebraic geometry, including recent work and open problems.
Computing Differentials in the Adams Spectral Sequence and the Last Kervaire Invariant Problem
Explore advanced methods for computing differentials in the Adams spectral sequence and uncover recent progress on the Last Kervaire Invariant Problem in dimension 126.
Langlands Duality for the Affine Hecke Category
Explore Langlands duality for affine Hecke category, its applications in representation theory, and potential generalizations to symplectic singularities. Gain insights into geometric local Langlands duality.
Triangulations of Manifolds and the Triangulation Conjecture
Explore the triangulation conjecture in topology, its validity in low dimensions, and its disproval in higher dimensions using advanced mathematical techniques.
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.
Optimal Estimates for Neumann Eigenvalues
Explore optimal estimates for Neumann eigenvalues, including award-winning research on maximizing second eigenvalues and recent findings on convex set bounds.
Distribution on Achiral Manifolds
Explore distribution of commensurable classes in geometric models, focusing on Sol and hyperbolic 3-manifolds. Delve into related number theory concepts and recent research findings.
The Global Unramified Geometric Langlands Equivalence
Explore the global unramified geometric Langlands conjecture, its history, motivation, and recent proof, along with remaining open questions in the field.
Generalized Spin-Statistics Theorem for Loop Excitations
Explore an extended spin-statistics theorem for loops using Klein bottle representation. Examine new solvable lattice models for topological phases and fermionic loop excitations in higher dimensions.
Points, Lines, and Subdivisions in Polyhedra - ICBS 2024
Explore polyhedra's role in mathematics, from PL topology to arithmetic, and discover new insights in combinatorics and related fields.
A Morse Model for Stable Homotopy - ICBS 2024
Explore stable homotopy groups, framed bordism, and Morse theory in topological spaces. Gain insights into Floer homotopy foundations and the Pontryagin-Thom construction.
Filling Radius, Positive Scalar Curvature and Quantitative Operator K-Theory
Explore techniques in quantitative operator theory to estimate filling radius, connecting positive scalar curvature and asymptotic dimension in large-scale geometry.
New Minimal Surfaces in S^3 and B^3 via Eigenvalue Optimization
Explore new methods for producing minimal surfaces in $S^3$ and $B^3$ through spectral geometry optimization, addressing topological realization and low-area surface growth.
Knots and Categories
Explore connections between knot theory and category theory, delving into mathematical concepts and their interrelationships in topology and algebra.
A Beautiful World Beyond Hyperbolic Geometry - Anosov Representations and Higher Teichmüller Spaces
Explore advanced geometric concepts beyond hyperbolic geometry, delving into Anosov representations and higher Teichmüller spaces.
Estimating Hausdorff Dimension via Iterated Function Schemes
Explore methods for estimating Hausdorff dimension using iterated function schemes, presented by Mark Pollicott from the University of Warwick.
Cantor Julia Sets
Explore Cantor Julia sets and their mathematical properties through an in-depth analysis by Vyron Vellis from the University of Tennessee, Knoxville.
Indecomposable Continua in Exponential Dynamics
Explore indecomposable continua in exponential dynamics, delving into advanced mathematical concepts and their applications.
Link Homology and How to Compute It - Part 3
Explore advanced techniques for computing link homology, delving into complex mathematical concepts and methodologies in topology and knot theory.
Introduction to Koszul Duality - Part 5
Explore advanced concepts of Koszul duality, delving into its applications and theoretical foundations in algebraic topology and homological algebra.
Introduction to Koszul Duality - Part 4
Explore advanced concepts of Koszul duality, delving into its applications and theoretical foundations in algebraic topology and homological algebra.