UMR 5582 - Laboratoire de mathématiques
Published on UMR 5582 - Laboratoire de mathématiques (https://www-fourier.univ-grenoble-alpes.fr)

Accueil > Numbers as functions

Numbers as functions [1]

Orateur: 
Yuri Manin
Date et horaire: 
Jeudi, 4 Juillet, 2013 - 18:30
Lieu: 
Amphithéâtre Louis Weil (campus de Saint-Martin d'Hères)

 

Conférence grand public de Yuri Manin [2]

The analogies between numbers and functions of one variable were known long ago: integers share common properties with polynomials over rational numbers or over finite fields; p-adic numbers are similar to formal series.

During the last two decades, such analogies have been developed and became background of two fascinating new chapters of algebra/number theory: Alexandru Buium's "Arithmetic Differential Equations" and a collective endeavor "Algebraic Geometry Over a Field of Characteristic One".

In the talk, I will present motivations, examples and some basic constructions of both theories, stressing their interrelations.

Voir la vidéo de la conférence [3]


Source URL: https://www-fourier.univ-grenoble-alpes.fr/?q=fr/content/numbers-functions-0

Liens
[1] https://www-fourier.univ-grenoble-alpes.fr/?q=fr/content/numbers-functions-0
[2] http://www.mpim-bonn.mpg.de/node/99
[3] http://ifmathlive.ujf-grenoble.fr/videos/JA2013_YuriManin.html