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The periodic tables of algebraic geometry

Schnappschüsse moderner Mathematik aus Oberwolfach

The periodic tables of algebraic geometry

To understand our world, we classify things. A famous example is the periodic table of elements, which describes the properties of all known chemical elements and gives us a classification of the building blocks we can use in physics, chemistry, and biology. In mathematics, and algebraic geometry in particular, there are many instances of similar  periodic tables”, describing fundamental classification results. We will go on a tour of some of these.

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Mathematisches Fachgebiet

Algebra und Zahlentheorie
Geometrie und Topologie

Verbindung zu anderen Gebieten

Chemie und Geowissenschaft
Biowissenschaft
Physik

Autor(en)

Pieter Belmans

Lizenz

DOI (Digital Object Identifier)

10.14760/SNAP-2023-002-EN

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snapshot-2023_002.pdf

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snapshots: overview

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      The periodic tables of algebraic geometry
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      What is Pattern?
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      Quantum symmetry
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      Diophantine equations and why they are hard
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      Mixed volumes and mixed integrals
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      Closed geodesics on surfaces and Riemannian manifolds
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      Mathematisches Fachgebiet

      Algebra und Zahlentheorie
      Analysis
      Didaktik und Bildung
      Diskrete Mathematik und Grundlagen
      Geometrie und Topologie
      Numerik und Wissenschaftliches Rechnen
      Wahrscheinlichkeitstheorie und Statistik

      Verbindung zu anderen Gebieten

      Chemie und Geowissenschaft
      Informatik
      Ingenieurwissenschaft und Technik
      Finanzwesen
      Geistes- und Sozialwissenschaft
      Biowissenschaft
      Physik
      Überlegungen zur Mathematik

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