What is Pattern?

Schnappschüsse moderner Mathematik aus Oberwolfach

What is Pattern?

Pattern is ubiquitous and seems totally familiar. Yet if we ask what it is, we find a bewildering collection of answers. Here we suggest that there is a common thread, and it revolves around dynamics.

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Mathematisches Fachgebiet

Diskrete Mathematik und Grundlagen
Geometrie und Topologie
Wahrscheinlichkeitstheorie und Statistik

Verbindung zu anderen Gebieten

Informatik
Ingenieurwissenschaft und Technik
Biowissenschaft
Physik
Überlegungen zur Mathematik

Autor(en)

Michael Baake, Uwe Grimm, Robert V. Moody

Lizenz

DOI (Digital Object Identifier)

10.14760/SNAP-2022-009-EN

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snapshot-2022-009.pdf

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snapshots: overview

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The periodic tables of algebraic geometry
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Patterns and waves in theory, experiment, and application
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Closed geodesics on surfaces
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Characterizations of intrinsic volumes on convex bodies and convex functions
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A tale of three curves
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Representations and degenerations
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The Robinson–Schensted algorithm
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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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Describing distance: from the plane to spectral triples
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Quantum symmetry
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The Enigma behind the Good–Turing formula
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Reflections on hyperbolic space
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Ultrafilter methods in combinatorics
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Zopfgruppen, die Yang–Baxter-Gleichung und Unterfaktoren
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Invitation to quiver representation and Catalan combinatorics
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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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The Mathematics of Fluids and Solids
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Mixed volumes and mixed integrals
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The codimension
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Tropical geometry
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Computing with symmetries
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Topological recursion
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The Algebraic Statistics of an Oberwolfach Workshop
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Solving quadratic equations in many variables
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Mathematics plays a key role in scientific computing
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Spaces of Riemannian metrics
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Computing the long term evolution of the solar system with geometric numerical integrators
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Computational Optimal Transport
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A few shades of interpolation
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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
Lukas Pottmeyer
News on quadratic polynomials
Felix Günther
Winkeltreue zahlt sich aus
Jacob Bedrossian
Towards a Mathematical Theory of Turbulence in Fluids
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Profinite groups
Dietmar Gallistl
The adaptive finite element method
Steven Klee
Footballs and donuts in four dimensions
Nikolai Nowaczyk
The Willmore Conjecture
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Prime Tuples in Function Fields
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Polyhedra and commensurability
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Ideas of Newton-Okounkov bodies
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Darcy’s law and groundwater flow modelling
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Modelling communication and movement: from cells to animals and humans
Tom Solomon
Chaos and chaotic fluid mixing
Thorsten Holm
Friezes and tilings
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
Alain Valette
The Kadison-Singer problem
Ragnar-Olaf Buchweitz, Eleonore Faber
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Howell Tong
Statistics and dynamical phenomena
Brian Harbourne, Thomas Szemberg
Arrangements of lines
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What does ">" really mean?
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The ternary Goldbach Problem
Wolfgang Lerche
Matrixfaktorisierungen
John E. McCarthy
Dirichlet Series

Mathematisches Fachgebiet

Algebra und Zahlentheorie
Analysis
Didaktik und Bildung
Diskrete Mathematik und Grundlagen
Geometrie und Topologie
Numerik und Wissenschaftliches Rechnen
Wahrscheinlichkeitstheorie und Statistik

Verbindung zu anderen Gebieten

Chemie und Geowissenschaft
Informatik
Ingenieurwissenschaft und Technik
Finanzwesen
Geistes- und Sozialwissenschaft
Biowissenschaft
Physik
Überlegungen zur Mathematik

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