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Convex polytopes and linear programs

Instantanés de recherche mathématique à 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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Sujet mathématique

Mathématiques discrètes et fondements des mathématiques
Géométrie et Topologie

Liens avec d'autres domaines

Informatique

Auteur(s)

Michael Joswig

Licence

DOI

10.14760/SNAP-2025-002-EN

Télécharger PDF

snapshot-2025-002.pdf

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snapshots: overview

      Michael Joswig
      Convex polytopes and linear programs
      Thorsten Heidersdorf
      Truncated fusion rules for supergroups
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      Waves and incidences
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      Geproci sets: a new perspective in algebraic geometry
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      The geometry of fair division
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      4 = 2 × 2, or the power of even integers in Fourier analysis
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      Cutoff phenomenon: Surprising behaviour in card shuffling and other Markov chains
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      Algebras and quantum games
      Ingmar Saberi
      Felder und Räume: Symmetrie und Lokalität in Mathematik und theoretischen Wissenschaften
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      The periodic tables of algebraic geometry
      Jason J. Bramburger
      Patterns and waves in theory, experiment, and application
      Benjamin Dozier
      Closed geodesics on surfaces
      Kathrin Hellmuth, Christian Klingenberg
      Route planning for bacteria
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      Characterizations of intrinsic volumes on convex bodies and convex functions
      Jennifer S. Balakrishnan
      A tale of three curves
      Michael Baake, Uwe Grimm, Robert V. Moody
      What is Pattern?
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      Biological Shape Analysis with Geometric Statistics and Learning
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      Representations and degenerations
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      Solving inverse problems with Bayes’ theorem
      Herbert Gangl
      Jewellery from tessellations of hyperbolic space
      Chr istina Frederick, Yunan Yang
      Seeing through rock with help from optimal transport
      David A. Craven
      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
      Jason D. Lotay
      Lagrangian mean curvature flow
      Leo Storme
      Finite geometries: pure mathematics close to applications
      Martijn Caspers
      Quantum symmetry
      Francesca Arici, Bram Mesland
      Describing distance: from the plane to spectral triples
      Fadoua Balabdaoui, Yulia Kulagina
      The Enigma behind the Good–Turing formula
      Anna Haensch
      Reflections on hyperbolic space
      Isaac Goldbring
      Ultrafilter methods in combinatorics
      Gandalf Lechner
      Zopfgruppen, die Yang–Baxter-Gleichung und Unterfaktoren
      Baptiste Rognerud
      Invitation to quiver representation and Catalan combinatorics
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      Searching for structure in complex data: A modern statistical quest
      David Kerr
      C∗-algebras: structure and classification
      Sara Lamboglia, Martin Ulirsch
      From the dollar game to the Riemann-Roch Theorem
      Steven Rayan, Laura P. Schaposnik
      Higgs bundles without geometry
      Behrend Heeren, Martin Rumpf
      Shape space - a paradigm for character animation in computer graphics
      Joshua Zahl
      Rotating needles, vibrating strings, and Fourier summation
      Moritz Weber
      Quantum symmetry
      Christian Berg
      Determinacy versus indeterminacy
      Jayadev S. Athreya, David Aulicino
      Vertex-to-Self Trajectories on the Platonic Solids
      Gianluca Finocchio
      Random matrix theory: Dyson Brownian motion
      Holger Kammeyer, Roman Sauer
      From Betti numbers to l2-Betti numbers
      Martin J. Gander
      Is it possible to predict the far future before the near future is known accurately?
      Jan-Bernhard Kordaß
      The Interaction of Curvature and Topology
      barbara Kaltenbacher, Igor Kukavica, Irena Lasiecka, Roberto Triggianti, Amjad Fuffaha, Justin Weber
      The Mathematics of Fluids and Solids
      Jake Fillman, Tom van den Boom
      A surprising connection between quantum mechanics and shallow water waves
      Daniel Zelazo, Shiyu Zhao
      Formation Control and Rigidity Theory
      Ana Khukhro
      Expander graphs and where to find them
      Simon Arridge, Maarten de Hoop, Peter Maass, Ozan Öktem, Carola Schönlie, Michael Unser
      Deep Learning and Inverse Problems
      Jan Martin Nordbotten
      Mixed-dimensional models for real-world applications
      Pietro Milici
      Touching the transcendentals: tractional motion from the birth of calculus to future perspectives
      Loïc Petitgirard
      Analogue mathematical instruments: Examples from the “theoretical dynamics” group (France, 1948–1964)
      Rita Jiménez Rolland, Miguel A. Xicoténcatl
      Configuration spaces and braid groups
      Tereza Klimošová
      Limits of graph sequences
      Paulo Oliva
      On Logic, Choices and Games
      Barbara Kaltenbacher, Rainer Brunnhuber
      Nonlinear Acoustics
      Volker Betz
      Random permutations
      Hugo Duminil-Copin
      Counting self-avoiding walks on the hexagonal lattice
      A. S. Detinko, D. L. Flannery, A. Hulpke
      Algebra, matrices, and computers
      Jonathan Rosenberg, David Wraith
      Positive Scalar Curvature and Applications
      Hector Pasten
      Diophantine equations and why they are hard
      Martin Buhmann, Janin Jäger
      On radial basis functions
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      Snake graphs, perfect matchings and continued fractions
      Nicolai Baldin
      Estimating the volume of a convex body
      Liran Rotem
      Mixed volumes and mixed integrals
      Filippo Santambrogio
      A short story on optimal transport and its many applications
      Sebastian Schönnenbeck
      Number theory in quantum computing
      Matthias Morzfeld, Sebastian Reich
      Data assimilation: mathematics for merging models and data
      Claus Hertling
      Geometry behind one of the Painlevé III differential equations
      Antonio Lerario
      The codimension
      Marius Tucsnak
      The mathematics of aquatic locomotion
      Erwan Brugallé, Ilia Itenberg, Kristin Shaw, Oleg Viro
      Tropical geometry
      Alex Barnett
      Fast Solvers for Highly Oscillatory Problems
      Greg Lupton, John Oprea, José Gabriel Carrasquel Vera
      Topological Complexity, Robotics and Social Choice
      Thomas Sauer
      Prony’s method: an old trick for new problems
      Colva M. Roney-Dougal
      Computing with symmetries
      Piotr Sułkowski
      Topological recursion
      Anna Seigal
      The Algebraic Statistics of an Oberwolfach Workshop
      Jean-Pierre Tignol
      Solving quadratic equations in many variables
      Chi-Wang Shu
      Mathematics plays a key role in scientific computing
      Mauricio Bustamante, Jan-Bernhard Kordaß
      Spaces of Riemannian metrics
      Shaula Fiorelli Vilmart, Gilles Vilmart
      Computing the long term evolution of the solar system with geometric numerical integrators
      Justin Solomon
      Computational Optimal Transport
      Justyna Szpond
      A few shades of interpolation
      George Hagedorn, Caroline Lasser
      Molecular quantum dynamics
      Marco Radeschi
      Closed geodesics on surfaces and Riemannian manifolds
      Christian Engwer, Markus Knappitsch
      Mathematische Modellierung von Krebswachstum
      Michael Baake, David Damanik, Uwe Grimm
      Aperiodic Order and Spectral Properties
      Lukas Pottmeyer
      News on quadratic polynomials
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      Winkeltreue zahlt sich aus
      Jacob Bedrossian
      Towards a Mathematical Theory of Turbulence in Fluids
      Laurent Bartholdi
      Profinite groups
      Dietmar Gallistl
      The adaptive finite element method
      Steven Klee
      Footballs and donuts in four dimensions
      Nikolai Nowaczyk
      The Willmore Conjecture
      Lior Bary-Soroker
      Prime Tuples in Function Fields
      Rafael Guglielmetti, Matthieu Jacquemet
      Polyhedra and commensurability
      Manfred Deistler, Andreas Graef
      Fokus-Erkennung bei Epilepsiepatienten mithilfe moderner Verfahren der Zeitreihenanalyse
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      High performance computing on smartphones
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      Symmetry and characters of finite groups
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      Das Problem der Kugelpackung
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      On the containment problem
      Éric Fusy
      Random sampling of domino and lozenge tilings
      Magnus Egerstedt
      Swarming robots
      Ulrich Krähmer
      From computer algorithms to quantum field theory: an introduction to operads
      Juanjo Rué
      Domino tilings of the Aztec Diamond
      Sebastian Funk
      The mystery of sleeping sickness – why does it keep waking up?
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      Quantum diffusion
      Amanda Swan, Albert Murtha
      Modelling the spread of brain tumours
      J. Marron
      Visual Analysis of Spanish Male Mortality
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      Curriculum development in university mathematics: where mathematicians and education collide
      Jürg Kramer, Anna-Maria Pippich
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      Ben Schweizer
      Darcy’s law and groundwater flow modelling
      Raluca Eftimie
      Modelling communication and movement: from cells to animals and humans
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      Chaos and chaotic fluid mixing
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      George Willis
      Zero-dimensional symmetry
      Christine Breiner
      Minimizing energy
      Diana Davis
      Billiards and flat surfaces
      Peter Benner, Hermann Mena, René Schneider
      Drugs, herbicides, and numerical simulation
      Gregory Knese
      Operator theory and the singular value decomposition
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      The Kadison-Singer problem
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      Statistics and dynamical phenomena
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      The ternary Goldbach Problem
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      Matrixfaktorisierungen
      John E. McCarthy
      Dirichlet Series

      Sujet mathématique

      Algèbre et théorie des nombres
      Analyse
      Pédagogie et éducation
      Mathématiques discrètes et fondements des mathématiques
      Géométrie et Topologie
      Calcul numérique et calcul scientifique
      Théorie des probabilités et statistique

      Liens avec d'autres domaines

      Chimie et sciences de la terre
      Informatique
      Ingénierie et technologie
      Finances
      Humanités et sciences sociales
      Sciences de la vie
      Physique
      Pensées mathématiques

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