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

Instantanés de recherche mathématique à 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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Sujet mathématique

Géométrie et Topologie

Liens avec d'autres domaines

Physique

Auteur(s)

Ingmar Saberi

Licence

DOI

10.14760/SNAP-2023-003-EN

Télécharger PDF

snapshot-2023-003.pdf

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snapshots: overview

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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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      Closed geodesics on surfaces
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      Representations and degenerations
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      The Robinson–Schensted algorithm
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      The Enigma behind the Good–Turing formula
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      Reflections on hyperbolic space
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      Random matrix theory: Dyson Brownian motion
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      The Interaction of Curvature and Topology
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      The Mathematics of Fluids and Solids
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      Computing with symmetries
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      Topological recursion
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      Mathematics plays a key role in scientific computing
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      Spaces of Riemannian metrics
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      Molecular quantum dynamics
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      Closed geodesics on surfaces and Riemannian manifolds
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      Profinite groups
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      The adaptive finite element method
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      The Willmore Conjecture
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      From computer algorithms to quantum field theory: an introduction to operads
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      Quantum diffusion
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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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