The Interaction of Curvature and Topology

Oberwolfach'tan

The Interaction of Curvature and Topology

In this snapshot we will outline the mathematical notion of curvature by means of comparison geometry. We will then try to address questions as the ways in which curvature might influence the topology of a space, and vice versa.

If you are interested in translating this Snapshot, please contact us at info@imaginary.org

Matematiksel konular

Geometri ve Topoloji

Yazar(lar)

Jan-Bernhard Kordaß

Lisans

DOI (Dijital nesne belirteci)

10.14760/SNAP-2019-020-EN

PDF indir

snapshots-2019-020.pdf

PDF

snapshots: overview

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Finite geometries: pure mathematics close to applications
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Molecular quantum dynamics
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Closed geodesics on surfaces and Riemannian manifolds
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Aperiodic Order and Spectral Properties
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Profinite groups
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Polyhedra and commensurability
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Billiards and flat surfaces
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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

Matematiksel konular

Cebir ve Sayılar Kuramı
Analiz
Eğitim ve Eğitim Bilimi
Ayrık Matematik ve Matematiğin Temelleri
Geometri ve Topoloji
Nümerik ve Hesap Analizi
Olasılık Kuramı ve İstatistik

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