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Positive Scalar Curvature and Applications

Instantáneas de la actualidad matemática desde 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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Área matemática

Geometría y Topología

Relaciones con otros campos

Física

Autor(es)

Jonathan Rosenberg, David Wraith

Licencia

DOI (Identificador de objetos digitales)

10.14760/SNAP-2019-004-EN

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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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      The Robinson–Schensted algorithm
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      Finite geometries: pure mathematics close to applications
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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
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      The Interaction of Curvature and Topology
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      Formation Control and Rigidity Theory
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      Configuration spaces and braid groups
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      Positive Scalar Curvature and Applications
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      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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      Computing with symmetries
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      Topological recursion
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      The Algebraic Statistics of an Oberwolfach Workshop
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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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      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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      Aperiodic Order and Spectral Properties
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      Towards a Mathematical Theory of Turbulence in Fluids
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      The adaptive finite element method
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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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      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
      Magnus Egerstedt
      Swarming robots
      Ulrich Krähmer
      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
      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
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      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
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      Friezes and tilings
      George Willis
      Zero-dimensional symmetry
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      Minimizing energy
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      Drugs, herbicides, and numerical simulation
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      Operator theory and the singular value decomposition
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      The Kadison-Singer problem
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      The ternary Goldbach Problem
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      Matrixfaktorisierungen
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      Dirichlet Series

      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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