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

Instantáneas de la actualidad matemática desde Oberwolfach

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

Wir werden einige grundlegende Ideen der Eichtheorie und der dazugehörigen Differentialtopologie erkunden. Damit kann sich die Leserin ein Bild des Modulraums flacher Zusammenhänge machen und ihn mit den physikalisch motivierten Ideen dahinter in Beziehung bringen. Den Begriffen von Symmetrien und Feldern gehen wir gründlich nach. Außerdem werfen wir einen flüchtigen Blick auf unendliche Symmetrie in zwei Dimensionen und auf vor kurzem entdeckte Verallgemeinerungen.

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Área matemática

Geometría y Topología

Relaciones con otros campos

Física

Autor(es)

Ingmar Saberi

Licencia

DOI (Identificador de objetos digitales)

10.14760/SNAP-2023-003-EN

Descargar PDF

snapshot-2023-003.pdf

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snapshots: overview

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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
      Pieter Belmans
      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
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      Characterizations of intrinsic volumes on convex bodies and convex functions
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      Michael Baake, Uwe Grimm, Robert V. Moody
      What is Pattern?
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      Biological Shape Analysis with Geometric Statistics and Learning
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      Representations and degenerations
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      Solving inverse problems with Bayes’ theorem
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      Jewellery from tessellations of hyperbolic space
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      Seeing through rock with help from optimal transport
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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
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      Quantum symmetry
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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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      The Interaction of Curvature and Topology
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      The Mathematics of Fluids and Solids
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      Mixed volumes and mixed integrals
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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
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      Computing with symmetries
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      Topological recursion
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      Computational Optimal Transport
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      Closed geodesics on surfaces and Riemannian manifolds
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      Profinite groups
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      The Willmore Conjecture
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      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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