English

Les conjectures de Weil : origines, approches, g\'en\'eralisations

Number Theory 2022-11-28 v1 Algebraic Geometry

Abstract

Je retracerai l'histoire des conjectures de Weil sur le nombre de solutions d'\'equations polynomiales dans un corps fini et quelques unes des approches qui ont \'et\'e propos\'ees pour les r\'esoudre. The Weil conjectures: origins, approaches, generalizations. I recount the history of the conjectures by Weil on the number of solutions of polynomial equations in finite fields, and some of the approaches that have been proposed to solve them.

Keywords

Cite

@article{arxiv.2211.14254,
  title  = {Les conjectures de Weil : origines, approches, g\'en\'eralisations},
  author = {Antoine Chambert-Loir},
  journal= {arXiv preprint arXiv:2211.14254},
  year   = {2022}
}

Comments

S\'eminaire Bourbaki du vendredi, 6e ann\'ee, expos\'e 33 (novembre 2022), in French language