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Positive Scalar Curvature and Applications

Instantanés de recherche mathématique à Oberwolfach

Positive Scalar Curvature and Applications

We introduce the idea of curvature, including how it developed historically, and focus on the scalar curvature of a manifold. A major current research topic involves understanding positive scalar curvature. We discuss why this is interesting and how it relates to general relativity.

Also available in Spanish.

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Sujet mathématique

Géométrie et Topologie

Liens avec d'autres domaines

Physique

Auteur(s)

Jonathan Rosenberg, David Wraith

Licence

DOI

10.14760/SNAP-2019-004-EN

Télécharger PDF

snapshots-2019-004.pdf

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snapshots: overview

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      The periodic tables of algebraic geometry
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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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      Representations and degenerations
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      Finite geometries: pure mathematics close to applications
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      Describing distance: from the plane to spectral triples
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      Quantum symmetry
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      Reflections on hyperbolic space
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      Quantum symmetry
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      Determinacy versus indeterminacy
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      Vertex-to-Self Trajectories on the Platonic Solids
      Gianluca Finocchio
      Random matrix theory: Dyson Brownian motion
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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
      Ana Khukhro
      Expander graphs and where to find them
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      Random permutations
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      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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      The codimension
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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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      Prony’s method: an old trick for new problems
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      Computing with symmetries
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      Topological recursion
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      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
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      Closed geodesics on surfaces and Riemannian manifolds
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      Aperiodic Order and Spectral Properties
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      News on quadratic polynomials
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      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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      On the containment problem
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      Random sampling of domino and lozenge tilings
      Magnus Egerstedt
      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
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      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
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      Visual Analysis of Spanish Male Mortality
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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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      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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