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The codimension

Snapshots of modern mathematics from Oberwolfach

The codimension

In this snapshot we discuss the notion of codimension, which is, in a sense, “dual” to the notion of dimension and is useful when studying the relative position of one object insider another one. 

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Mathematical subjects

Geometry and Topology

Author(s)

Antonio Lerario

License

DOI (Digital Object Identifier)

10.14760/SNAP-2018-009-EN

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snapshots-2018-009.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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      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
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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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      Searching for the Monster in the Trees
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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
      Francesca Arici, Bram Mesland
      Describing distance: from the plane to spectral triples
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      Quantum symmetry
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      The Enigma behind the Good–Turing formula
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      Reflections on hyperbolic space
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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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      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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      Random matrix theory: Dyson Brownian motion
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      The Interaction of Curvature and Topology
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      A surprising connection between quantum mechanics and shallow water waves
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      Formation Control and Rigidity Theory
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      Analogue mathematical instruments: Examples from the “theoretical dynamics” group (France, 1948–1964)
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      Nonlinear Acoustics
      Volker Betz
      Random permutations
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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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      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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      Closed geodesics on surfaces and Riemannian manifolds
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      Profinite groups
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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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      Jürg Kramer, Anna-Maria Pippich
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      The ternary Goldbach Problem
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      Mathematical subjects

      Algebra and Number Theory
      Analysis
      Didactics and Education
      Discrete Mathematics and Foundations
      Geometry and Topology
      Numerics and Scientific Computing
      Probability Theory and Statistics

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      Chemistry and Earth Science
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