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Describing distance: from the plane to spectral triples

Schnappschüsse moderner Mathematik aus 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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Mathematisches Fachgebiet

Geometrie und Topologie

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Physik

Autor(en)

Francesca Arici, Bram Mesland

Lizenz

DOI (Digital Object Identifier)

10.14760/SNAP-2021-009-EN

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snapshot-2021-009.pdf

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