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

Author(s)

Francesca Arici, Bram Mesland

License

DOI (Digital Object Identifier)

10.14760/SNAP-2021-009-EN

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snapshot-2021-009.pdf

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Reflections on Mathematics

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