Computing with symmetries

Instantáneas de la actualidad matemática desde Oberwolfach

Computing with symmetries

Group theory is the study of symmetry, and has many applications both within and outside mathematics. In this snapshot, we give a brief introduction to symmetries, and how to compute with them. 

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Área matemática

Álgebra y Teoría de números
Matemática discreta y Fundamentos

Autor(es)

Colva M. Roney-Dougal

Licencia

DOI (Identificador de objetos digitales)

10.14760/SNAP-2018-003-EN

Descargar PDF

snapshots-2018-003.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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Quantum symmetry
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Reflections on hyperbolic space
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Ultrafilter methods in combinatorics
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Baptiste Rognerud
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Sara Lamboglia, Martin Ulirsch
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Steven Rayan, Laura P. Schaposnik
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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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The Mathematics of Fluids and Solids
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A surprising connection between quantum mechanics and shallow water waves
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Random permutations
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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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Topological recursion
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Solving quadratic equations in many variables
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Spaces of Riemannian metrics
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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
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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Jacob Bedrossian
Towards a Mathematical Theory of Turbulence in Fluids
Laurent Bartholdi
Profinite groups
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The adaptive finite element method
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Footballs and donuts in four dimensions
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The Willmore Conjecture
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Prime Tuples in Function Fields
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Polyhedra and commensurability
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Symmetry and characters of finite groups
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Tomasz Szemberg
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Modelling communication and movement: from cells to animals and humans
Tom Solomon
Chaos and chaotic fluid mixing
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Friezes and tilings
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Zero-dimensional symmetry
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Billiards and flat surfaces
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Gregory Knese
Operator theory and the singular value decomposition
Alain Valette
The Kadison-Singer problem
Ragnar-Olaf Buchweitz, Eleonore Faber
Swallowtail on the shore
Howell Tong
Statistics and dynamical phenomena
Brian Harbourne, Thomas Szemberg
Arrangements of lines
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Harald Helfgott
The ternary Goldbach Problem
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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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