Conférences - Théorie des nombres, arithmétique - France

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1
Motives, quadratic forms and arithmetic — À l'occasion du 64ème anniversaire de Bruno Kahn
24 oct 2022 - 28 oct 2022 • Lens, France
Résumé:
Motives were originally introduced by Grothendieck in the sixties to provide a universal source to various cohomology theories of algebraic, geometric and arithmetic nature. The works of Hanamura, Levine and Voevodsky in the nineties, followed by many others, have shed a new light on the subject by introducing triangulated categories of motives and relating them to a newly defined homotopy category of schemes. More recent avatars of motives include the motives with modulus of Kahn, Miyazaki, Saito and Yamazaki or the log-motives of Binda, Park and Østvær, both purposely avoiding A1-invariance.
Identifiant de l'évènement:
1476160
Sujets apparentés:
2
Computational Number Theory
27 fév 2023 - 03 mar 2023 • Luminy, France
Organisateur:
CIRM - Jean-Morlet Chair
Résumé:
The theme of the conference will be explicit and computational methods in number theory and arithmetic geometry in a broad sense. The format will include scientific talks as well as time for informal collaboration and for coding projects related to (for example) PARI/GP, SageMath, Magma, OSCAR or the L-Functions and Modular Forms Database.
Identifiant de l'évènement:
1476297
Sujets apparentés:
3
Workshop — Density Problems in Arithmetics
03 avr 2023 - 04 avr 2023 • Luminy, France
Organisateur:
CIRM - Jean-Morlet Chair
Résumé:
ln this workshop, we will consider variants of Artin's primitive root conjecture leading to the study of the Galois groups of various radical extensions. Beyond the case of the multiplicative group studied by Lenstra and others, there are now also interesting results for elliptic radicals, and for division points in more general abelian varieties. ln this context, the elliptic analogue of Artin's conjecture is the Lang-Trotter conjecture, which is still open after more than 40 years.
Identifiant de l'évènement:
1476295
Sujets apparentés:
4
RESEARCH SCHOOL — Spring school in Arithmetic Statistics
08 mai 2023 - 12 mai 2023 • Luminy, France
Organisateur:
CIRM - Jean-Morlet Chair
Résumé:
The spring school serves an introduction to the conference "Arithmetic Statistics", and aims to provide PhD students and early stage researchers with the necessary background to enable them to fruitfully partake in the conference. lt will also be an occasion for Master students to have an introduction towards research in number theory.
Identifiant de l'évènement:
1476359
5
Arithmetic Statistics
15 mai 2023 - 19 mai 2023 • Luminy, France
Organisateur:
CIRM - Jean-Morlet Chair
Résumé:
The theme of the conference is a type of number theory that has become very popular over the last decades, and that is influenced by the possibility of « experimentally » studying arithmetic objects with the help of a computer. Thanks to the wide availability of computer algebra systems, essentially any number theorist nowadays has this possibility at his fingertips. There are concrete objects that are not so easily determined « by hand », such as fundamental units in number fields of higher degree, or Mordell-Weil generators of point groups of elliptic curves, and a first impression of « what these typically look like » is often obtained by numerical experimentation.
Identifiant de l'évènement:
1476324
Sujets apparentés:


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Dernière mise à jour: 09 Mars 2022