Algebra, matrices, and computers

Oberwolfach'tan

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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Matematiksel konular

Cebir ve Sayılar Kuramı

Diğer alanlarla ilişkiler

Bilgisayar Bilimeri

Yazar(lar)

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

Lisans

DOI (Dijital nesne belirteci)

10.14760/SNAP-2019-005-EN

PDF indir

snapshots-2019-005.pdf

PDF

snapshots: overview

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Algebras and quantum games
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Felder und Räume: Symmetrie und Lokalität in Mathematik und theoretischen Wissenschaften
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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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What is Pattern?
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Representations and degenerations
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Jewellery from tessellations of hyperbolic space
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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
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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
Francesca Arici, Bram Mesland
Describing distance: from the plane to spectral triples
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Quantum symmetry
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
Po-Ling Loh
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
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Rotating needles, vibrating strings, and Fourier summation
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Quantum symmetry
Christian Berg
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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From Betti numbers to l2-Betti numbers
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Is it possible to predict the far future before the near future is known accurately?
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The Interaction of Curvature and Topology
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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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Formation Control and Rigidity Theory
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Expander graphs and where to find them
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Deep Learning and Inverse Problems
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Mixed-dimensional models for real-world applications
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Nonlinear Acoustics
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Random permutations
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Counting self-avoiding walks on the hexagonal lattice
A. S. Detinko, D. L. Flannery, A. Hulpke
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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Snake graphs, perfect matchings and continued fractions
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Estimating the volume of a convex body
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Mixed volumes and mixed integrals
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A short story on optimal transport and its many applications
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Number theory in quantum computing
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The codimension
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The mathematics of aquatic locomotion
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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
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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
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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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Fokus-Erkennung bei Epilepsiepatienten mithilfe moderner Verfahren der Zeitreihenanalyse
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Wie steuert man einen Kran?
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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
Tomasz Szemberg
On the containment problem
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Swarming robots
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Domino tilings of the Aztec Diamond
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Quantum diffusion
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Ideas of Newton-Okounkov bodies
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Chaos and chaotic fluid mixing
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Friezes and tilings
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Zero-dimensional symmetry
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Minimizing energy
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Billiards and flat surfaces
Peter Benner, Hermann Mena, René Schneider
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Operator theory and the singular value decomposition
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The Kadison-Singer problem
Ragnar-Olaf Buchweitz, Eleonore Faber
Swallowtail on the shore
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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
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Matrixfaktorisierungen
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Dirichlet Series

Matematiksel konular

Cebir ve Sayılar Kuramı
Analiz
Eğitim ve Eğitim Bilimi
Ayrık Matematik ve Matematiğin Temelleri
Geometri ve Topoloji
Nümerik ve Hesap Analizi
Olasılık Kuramı ve İstatistik

Diğer alanlarla ilişkiler

Kimya ve Yer Bilimler
Bilgisayar Bilimeri
Mühendislik ve Teknoloji
Finans
Beşeri ve Sosyal Bilimler
Yaşam Bilimleri
Fizik
Matematik Üzerine Düşünceler

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