Mixed-Integer Programming: 65 Years of History and the Artificial Intelligence Challenge - DS4DM Coffee Talk
Explore the evolution of Mixed-Integer Programming, from its 1958 roots to modern AI integration, and its impact on solving diverse optimization problems.
Linear Programming Bounds for Hyperbolic Surfaces
Explore new upper bounds on geometric and spectral invariants of closed hyperbolic surfaces using the Selberg trace formula and linear programming techniques.
Linear Programming Bounds for Hyperbolic Surfaces - Seminar on Spectral Geometry
Explore linear programming bounds for hyperbolic surfaces, examining closed geodesics and Laplace eigenvalues. Gain insights into quantitative behavior and predominance in Riemannian metrics.
Polya's Conjecture for Euclidean Balls
Explore Polya's conjecture for Euclidean balls, examining its proof for arbitrary dimensions and implications in spectral geometry.
Curvature Contribution to the Essential Spectrum of Dirac Operators with Critical Shell Interactions
Explore the essential spectrum of 3D Dirac operators with critical shell interactions, examining how surface geometry influences spectral properties in quantum mechanics.
Free Boundary Minimal Annuli Immersed in the 3-Ball
Explore free boundary minimal annuli in the 3-ball, focusing on construction methods, Steklov eigenvalues, and perturbation techniques for exact free boundary minimality.
The Structure of Homeomorphism Groups - Lecture 3
Explore the algebraic and topological structures of homeomorphism groups, their relation to manifold topology, and dynamics of group actions.
Towards an Optimal Spectral Gap Result for Random Compact Hyperbolic Surfaces
Explore recent progress in proving near-optimal spectral gaps for hyperbolic surfaces. Delve into trace methods, challenges, and new tools developed to improve bounds in spectral geometry.
Acylindricity of the Cremona Group - Lecture 3
Explore the Cremona group's action on infinite-dimensional hyperbolic space and its acylindrical hyperbolicity, leading to insights on its SQ-universal property and embeddings of countable groups.
Acylindricity of the Cremona Group - Part I
Explore the Cremona group's action on infinite-dimensional hyperbolic space and its acylindrical hyperbolicity, leading to insights on its structure and embedding properties.
Unique Continuation for Solutions of Discrete and Continuous Elliptic Partial Differential Equations
Explore unique continuation properties for elliptic equation solutions, including discrete harmonic functions and the Landis conjecture, with applications to Anderson localization.
Orbit Equivalence Theory, Cost, Ergodic Dimension and L2 Betti Numbers - Lecture 3
Explore orbit equivalence theory, cost, ergodic dimension, and L2 Betti numbers in measured group theory. Gain insights into foundational concepts and invariants through examples and exercises.
Sums of the Divisor Function and Random Matrix Distributions - Lecture
Explore divisor function behavior, distribution strategies, and connections to Riemann zeta function and random matrix groups in number theory.
Perfect Matchings in Hyperfinite Graphings - Lecture 1
Explore perfect matchings in hyperfinite graphings, their geometric structure, and applications in probability, group theory, and measurable equidecompositions.
Perfect Matchings in Hyperfinite Graphings - Lecture 3
Explore perfect matchings in hyperfinite graphings, their geometric structure, and applications in probability, group theory, and measurable equidecompositions.
Amenable Groups - An Introduction
Explore amenable groups, a class of tame groups generalizing theorems about Z, and discover their fascinating properties and applications in measured group theory.
Random Subgroups - Lecture 1: Invariant Random Subgroups
Explore the theory of invariant random subgroups (IRS) and its applications to lattices and asymptotic invariants in locally symmetric manifolds and discrete subgroups of Lie groups.
Random Subgroups - Lecture 3: Non-Invariant Random Subgroups
Explore the theory of stationary random subgroups (SRS) and its applications to lattices and asymptotic invariants in Lie groups, expanding beyond invariant random subgroups (IRS).
Perfect Matchings in Hyperfinite Graphings - Lecture 2
Explore perfect matchings in hyperfinite graphings, their geometric structure, and applications in probability, group theory, and measurable equidecompositions.
An Introduction to Rigid Local Systems
Explorez les systèmes locaux rigides, leurs propriétés et applications en géométrie et théorie des nombres. Découvrez les avancées récentes et la conjecture de Simpson sur leur origine géométrique.
Ramsey Theory, Sparsity and Limits - Combinatorics and Model Theory
Explore Ramsey theory, graph sparsity, and structural limits in combinatorics and model theory. Discover connections between these diverse areas and uncover intriguing open problems.