Computing with symmetries

오버불파크에서 찍은 현대수학의 면모

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.

If you are interested in translating this Snapshot, please contact us at info@imaginary.org

수학적 주제

대수학/정수론

이산수학/수학기초론

저자

Colva M. Roney-Dougal

라이선스

CC BY-SA-4.0

디지털 객체 식별자(DOI)

10.14760/SNAP-2018-003-EN

PDF 다운로드

application/pdf

snapshots-2018-003.pdf

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Geproci sets: a new perspective in algebraic geometry

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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

Vern I. Paulsen

Algebras and quantum games

Felder und Räume: Symmetrie und Lokalität in Mathematik und theoretischen Wissenschaften

The periodic tables of algebraic geometry

Jason J. Bramburger

Patterns and waves in theory, experiment, and application

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Closed geodesics on surfaces

Kathrin Hellmuth, Christian Klingenberg

Route planning for bacteria

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?

Saiteja Utpala, Nina Miolane

Biological Shape Analysis with Geometric Statistics and Learning

Ilya Dumanski, Valentina Kiritchenko

Representations and degenerations

Jonas Latz, Björn Sprungk

Solving inverse problems with Bayes’ theorem

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

The Robinson–Schensted algorithm

Franca Hoffmann, Sara Merino-Aceituno

Emergence in biology and social sciences

Lagrangian mean curvature flow

Finite geometries: pure mathematics close to applications

Francesca Arici, Bram Mesland

Describing distance: from the plane to spectral triples

Martijn Caspers

Quantum symmetry

Fadoua Balabdaoui, Yulia Kulagina

The Enigma behind the Good–Turing formula

Reflections on hyperbolic space

Isaac Goldbring

Ultrafilter methods in combinatorics

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Zopfgruppen, die Yang–Baxter-Gleichung und Unterfaktoren

Baptiste Rognerud

Invitation to quiver representation and Catalan combinatorics

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C∗-algebras: structure and classification

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From the dollar game to the Riemann-Roch Theorem

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Quantum symmetry

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Vertex-to-Self Trajectories on the Platonic Solids

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The Interaction of Curvature and Topology

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Random permutations

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Algebra, matrices, and computers

Jonathan Rosenberg, David Wraith

Positive Scalar Curvature and Applications

Diophantine equations and why they are hard

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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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Molecular quantum dynamics

Closed geodesics on surfaces and Riemannian manifolds

Christian Engwer, Markus Knappitsch

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Michael Baake, David Damanik, Uwe Grimm

Aperiodic Order and Spectral Properties

Lukas Pottmeyer

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Jacob Bedrossian

Towards a Mathematical Theory of Turbulence in Fluids

Laurent Bartholdi

Profinite groups

Dietmar Gallistl

The adaptive finite element method

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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Symmetry and characters of finite groups

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Das Problem der Kugelpackung

Tomasz Szemberg

On the containment problem

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Magnus Egerstedt

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Ulrich Krähmer

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Quantum diffusion

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Chaos and chaotic fluid mixing

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Zero-dimensional symmetry

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Matrixfaktorisierungen

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Dirichlet Series

수학적 주제

대수학/정수론

해석학

수학교육/교수법

이산수학/수학기초론

기하학/위상수학

수치해석/과학계산

확률론/통계학

다른 분야와의 연관성

화학 및 지구과학

컴퓨터 과학

공학

금융

인문/사회과학

생명 과학

물리학

수학 전반에 대한 소고

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