Algebra, matrices, and computers

Instantanés de recherche mathématique à Oberwolfach

Algebra, matrices, and computers

What part does algebra play in representing the real world abstractly? How can algebra be used to solve hard mathematical problems with the aid of modern computing technology? We provide answers to these questions that rely on the theory of matrix groups and new methods for handling matrix groups in a computer.

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Sujet mathématique

Algèbre et théorie des nombres

Liens avec d'autres domaines

Informatique

Auteur(s)

A. S. Detinko, D. L. Flannery, A. Hulpke

Licence

DOI

10.14760/SNAP-2019-005-EN

Télécharger PDF

snapshots-2019-005.pdf

PDF

snapshots: overview

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The Robinson–Schensted algorithm
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Finite geometries: pure mathematics close to applications
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Reflections on hyperbolic space
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Determinacy versus indeterminacy
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Random matrix theory: Dyson Brownian motion
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Diophantine equations and why they are hard
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Closed geodesics on surfaces and Riemannian manifolds
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Aperiodic Order and Spectral Properties
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Prime Tuples in Function Fields
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Billiards and flat surfaces
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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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