Spaces of Riemannian metrics

Schnappschüsse moderner Mathematik aus Oberwolfach

Spaces of Riemannian metrics

Riemannian metrics endow smooth manifolds such as surfaces with intrinsic geometric properties, for example with curvature. They also allow us to measure quantities like distances, angles and volumes. These are the notions we use to characterize the “shape” of a manifold. The space of Riemannian metrics is a mathematical object that encodes the many possible ways in which we can geometrically deform the shape of a manifold. 

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Mathematisches Fachgebiet

Geometrie und Topologie

Autor(en)

Mauricio Bustamante, Jan-Bernhard Kordaß

Lizenz

DOI (Digital Object Identifier)

10.14760/SNAP-2017-010-EN

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snapshots-2017-010.pdf

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snapshots: overview

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Patterns and waves in theory, experiment, and application
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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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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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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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Ultrafilter methods in combinatorics
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Zopfgruppen, die Yang–Baxter-Gleichung und Unterfaktoren
Baptiste Rognerud
Invitation to quiver representation and Catalan combinatorics
Po-Ling Loh
Searching for structure in complex data: A modern statistical quest
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C∗-algebras: structure and classification
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From the dollar game to the Riemann-Roch Theorem
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Quantum symmetry
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Topological recursion
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Computational Optimal Transport
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Molecular quantum dynamics
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Closed geodesics on surfaces and Riemannian manifolds
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Mathematische Modellierung von Krebswachstum
Michael Baake, David Damanik, Uwe Grimm
Aperiodic Order and Spectral Properties
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News on quadratic polynomials
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Winkeltreue zahlt sich aus
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Towards a Mathematical Theory of Turbulence in Fluids
Laurent Bartholdi
Profinite groups
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The adaptive finite element method
Steven Klee
Footballs and donuts in four dimensions
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The Willmore Conjecture
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Prime Tuples in Function Fields
Rafael Guglielmetti, Matthieu Jacquemet
Polyhedra and commensurability
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Anthony T Patera, Karsten Urban
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Quantum diffusion
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Tom Solomon
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George Willis
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Billiards and flat surfaces
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Statistics and dynamical phenomena
Brian Harbourne, Thomas Szemberg
Arrangements of lines
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What does ">" really mean?
Harald Helfgott
The ternary Goldbach Problem
Wolfgang Lerche
Matrixfaktorisierungen
John E. McCarthy
Dirichlet Series

Mathematisches Fachgebiet

Algebra und Zahlentheorie
Analysis
Didaktik und Bildung
Diskrete Mathematik und Grundlagen
Geometrie und Topologie
Numerik und Wissenschaftliches Rechnen
Wahrscheinlichkeitstheorie und Statistik

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