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Leibniz’ conjecture, periods & motives

  • Conference paper
Colloquium De Giorgi 2009

Part of the book series: Colloquia ((COLLOQUIASNS,volume 3))

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Abstract

Questions on the transcendence and linear independence of periods have a long history going back at least to Euler. We shall first give in this note a historical introduction to periods with the aim to demonstrate how a very nice and deep theory evolved during 3 centuries with three themes: numbers (Euler, Leibniz, Hermite, Lindemann, Siegel, Gelfond, Schneider, Baker), Hodge theory (Hodge, De Rham, Grothendieck, Griffiths, Deligne) and motives (Deligne, Nori). One of our main intends is to discuss then how to possibly bring these themes together and to show how modern transcendence theory can solve questions which arise at the interfaces between number theory, global analysis, algebraic geometry and arithmetic algebraic geometry.

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Authors
  1. Gisbert Wüstholz
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Editor information

Umberto Zannier

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© 2012 Scuola Normale Superiore Pisa

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Wüstholz, G. (2012). Leibniz’ conjecture, periods & motives. In: Zannier, U. (eds) Colloquium De Giorgi 2009. Colloquia, vol 3. Edizioni della Normale, Pisa. https://doi.org/10.1007/978-88-7642-387-1_3

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