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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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      Waves and incidences
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      Cutoff phenomenon: Surprising behaviour in card shuffling and other Markov chains
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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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      Biological Shape Analysis with Geometric Statistics and Learning
      Ilya Dumanski, Valentina Kiritchenko
      Representations and degenerations
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      Solving inverse problems with Bayes’ theorem
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      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
      Hugh Thomas
      The Robinson–Schensted algorithm
      Franca Hoffmann, Sara Merino-Aceituno
      Emergence in biology and social sciences
      Jason D. Lotay
      Lagrangian mean curvature flow
      Leo Storme
      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
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      Invitation to quiver representation and Catalan combinatorics
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      Searching for structure in complex data: A modern statistical quest
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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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      Higgs bundles without geometry
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      Rotating needles, vibrating strings, and Fourier summation
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      Quantum symmetry
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      Determinacy versus indeterminacy
      Jayadev S. Athreya, David Aulicino
      Vertex-to-Self Trajectories on the Platonic Solids
      Gianluca Finocchio
      Random matrix theory: Dyson Brownian motion
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      From Betti numbers to l2-Betti numbers
      Martin J. Gander
      Is it possible to predict the far future before the near future is known accurately?
      Jan-Bernhard Kordaß
      The Interaction of Curvature and Topology
      barbara Kaltenbacher, Igor Kukavica, Irena Lasiecka, Roberto Triggianti, Amjad Fuffaha, Justin Weber
      The Mathematics of Fluids and Solids
      Jake Fillman, Tom van den Boom
      A surprising connection between quantum mechanics and shallow water waves
      Daniel Zelazo, Shiyu Zhao
      Formation Control and Rigidity Theory
      Ana Khukhro
      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
      Pietro Milici
      Touching the transcendentals: tractional motion from the birth of calculus to future perspectives
      Loïc Petitgirard
      Analogue mathematical instruments: Examples from the “theoretical dynamics” group (France, 1948–1964)
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      Configuration spaces and braid groups
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      Limits of graph sequences
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      On Logic, Choices and Games
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      Nonlinear Acoustics
      Volker Betz
      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
      Jonathan Rosenberg, David Wraith
      Positive Scalar Curvature and Applications
      Hector Pasten
      Diophantine equations and why they are hard
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      On radial basis functions
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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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      Number theory in quantum computing
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      Data assimilation: mathematics for merging models and data
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      Geometry behind one of the Painlevé III differential equations
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      The codimension
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      The mathematics of aquatic locomotion
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      Tropical geometry
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      Fast Solvers for Highly Oscillatory Problems
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      Topological Complexity, Robotics and Social Choice
      Thomas Sauer
      Prony’s method: an old trick for new problems
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      Computing with symmetries
      Piotr Sułkowski
      Topological recursion
      Anna Seigal
      The Algebraic Statistics of an Oberwolfach Workshop
      Jean-Pierre Tignol
      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
      Shaula Fiorelli Vilmart, Gilles Vilmart
      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
      Marco Radeschi
      Closed geodesics on surfaces and Riemannian manifolds
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      Mathematische Modellierung von Krebswachstum
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      Aperiodic Order and Spectral Properties
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      News on quadratic polynomials
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      Towards a Mathematical Theory of Turbulence in Fluids
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      Profinite groups
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      The adaptive finite element method
      Steven Klee
      Footballs and donuts in four dimensions
      Nikolai Nowaczyk
      The Willmore Conjecture
      Lior Bary-Soroker
      Prime Tuples in Function Fields
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      Polyhedra and commensurability
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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
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      On the containment problem
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      Random sampling of domino and lozenge tilings
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      Swarming robots
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      From computer algorithms to quantum field theory: an introduction to operads
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      Domino tilings of the Aztec Diamond
      Sebastian Funk
      The mystery of sleeping sickness – why does it keep waking up?
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      Quantum diffusion
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      Modelling the spread of brain tumours
      J. Marron
      Visual Analysis of Spanish Male Mortality
      Christopher Sangwin
      Curriculum development in university mathematics: where mathematicians and education collide
      Jürg Kramer, Anna-Maria Pippich
      Special values of zeta functions and areas of triangles
      Victoria Powers
      How to choose a winner : the mathematics of social choice
      Valentina Kiritchenko, Evgeny Smirnov, Vladlen Timorin
      Ideas of Newton-Okounkov bodies
      Ben Schweizer
      Darcy’s law and groundwater flow modelling
      Raluca Eftimie
      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
      Swallowtail on the shore
      Howell Tong
      Statistics and dynamical phenomena
      Brian Harbourne, Thomas Szemberg
      Arrangements of lines
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      The ternary Goldbach Problem
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      Matrixfaktorisierungen
      John E. McCarthy
      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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