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Convex polytopes and linear programs

Instantáneas de la actualidad matemática desde Oberwolfach

Convex polytopes and linear programs

Convex polytopes are geometric objects that look deceptively simple. They occur everywhere in mathematics and have practical applications in everyday life – like organizing your grocery shopping list. In this snapshot, you get into contact with a long-standing, unsolved question in mathematics, which you can explore interactively.

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Área matemática

Matemática discreta y Fundamentos
Geometría y Topología

Relaciones con otros campos

Informática

Autor(es)

Michael Joswig

Licencia

DOI (Identificador de objetos digitales)

10.14760/SNAP-2025-002-EN

Descargar PDF

snapshot-2025-002.pdf

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snapshots: overview

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      Convex polytopes and linear programs
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      The periodic tables of algebraic geometry
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      Closed geodesics on surfaces
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      Representations and degenerations
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      Solving inverse problems with Bayes’ theorem
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      Jewellery from tessellations of hyperbolic space
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      Searching for the Monster in the Trees
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      The Robinson–Schensted algorithm
      Franca Hoffmann, Sara Merino-Aceituno
      Emergence in biology and social sciences
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      Lagrangian mean curvature flow
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      Finite geometries: pure mathematics close to applications
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      Quantum symmetry
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      Rotating needles, vibrating strings, and Fourier summation
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      Quantum symmetry
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      Determinacy versus indeterminacy
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      Vertex-to-Self Trajectories on the Platonic Solids
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      Random matrix theory: Dyson Brownian motion
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      From Betti numbers to l2-Betti numbers
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      The Interaction of Curvature and Topology
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      The Mathematics of Fluids and Solids
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      Formation Control and Rigidity Theory
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      Expander graphs and where to find them
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      Deep Learning and Inverse Problems
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      Pietro Milici
      Touching the transcendentals: tractional motion from the birth of calculus to future perspectives
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      Configuration spaces and braid groups
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      On Logic, Choices and Games
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      Nonlinear Acoustics
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      Random permutations
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      Counting self-avoiding walks on the hexagonal lattice
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      Algebra, matrices, and computers
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      Positive Scalar Curvature and Applications
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      Diophantine equations and why they are hard
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      Mixed volumes and mixed integrals
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      Geometry behind one of the Painlevé III differential equations
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      Tropical geometry
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      Topological Complexity, Robotics and Social Choice
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      Computing with symmetries
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      Topological recursion
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      Spaces of Riemannian metrics
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      Molecular quantum dynamics
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      Closed geodesics on surfaces and Riemannian manifolds
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      Mathematische Modellierung von Krebswachstum
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      Aperiodic Order and Spectral Properties
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      Towards a Mathematical Theory of Turbulence in Fluids
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      Profinite groups
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      The adaptive finite element method
      Steven Klee
      Footballs and donuts in four dimensions
      Nikolai Nowaczyk
      The Willmore Conjecture
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      Polyhedra and commensurability
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      Symmetry and characters of finite groups
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      Raluca Eftimie
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      Tom Solomon
      Chaos and chaotic fluid mixing
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      George Willis
      Zero-dimensional symmetry
      Christine Breiner
      Minimizing energy
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      Billiards and flat surfaces
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      Drugs, herbicides, and numerical simulation
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      Operator theory and the singular value decomposition
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      Matrixfaktorisierungen
      John E. McCarthy
      Dirichlet Series

      Área matemática

      Álgebra y Teoría de números
      Análisis
      Didáctica y Educación
      Matemática discreta y Fundamentos
      Geometría y Topología
      Cálculo numérico y científico
      Teoría de la probabilidad y Estadística

      Relaciones con otros campos

      Química y Ciencias de la Tierra
      Informática
      Ingeniería y Tecnología
      Finanzas
      Humanidades y Ciencias sociales
      Ciencias de la vida
      Física
      Reflexiones sobre la matemática

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