Triangulations in geometry: from Ptolemy to Teichmüller

Instantáneas de la actualidad matemática desde Oberwolfach

Triangulations in geometry: from Ptolemy to Teichmüller

Ptolemy’s theorem is a classical result from ancient Greek mathematics, concerning the lengths of sides and diagonals of a polygon drawn in a circle. In this snapshot, I will explain why this theorem is still important today through its role in Teichmüller theory, a subject which seeks to describe all possible “shapes” of a surface with boundary.

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Área matemática

Álgebra y Teoría de números
Geometría y Topología

Autor(es)

Matthew Pressland

Licencia

DOI (Identificador de objetos digitales)

10.14760/SNAP-2026-004-EN

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snapshot-2026-004.pdf

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snapshots: overview

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Área matemática

Álgebra y Teoría de números
Análisis
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