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Describing distance: from the plane to spectral triples
Snapshots of modern mathematics from Oberwolfach
Describing distance: from the plane to spectral triples
Geometry draws its power from the abstract structures that govern the shapes found in the real world. These abstractions often provide deeper insights into the underlying mathematical objects. In this snapshot, we give a glimpse into how certain “curved spaces” called manifolds can be better understood by looking at the (complex) differentiable functions they admit.
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Mathematical subjects

Geometry and Topology
Connections to other fields

Physics
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DOI (Digital Object Identifier)
10.14760/SNAP-2021-009-EN
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snapshots: overview
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

Computer Science

Engineering and Technology

Finance

Humanities and Social Sciences

Life Science

Physics

Reflections on Mathematics