# Séminaires : Séminaire Théorie des Nombres

 Equipe(s) : fa, tn, tga, Responsables : Marc Hindry, Bruno Kahn, Wieslawa Niziol, Cathy Swaenepoel Email des responsables : cathy.swaenepoel@imj-prg.fr Salle : Adresse : Description http://www.imj-prg.fr/tn/STN/stnj.html

 Orateur(s) R. Heath-Brown - , Titre Counting rational points on hypersurfaces Date 24/05/2004 Horaire 14:00 à 16:00 Diffusion Résume For an irreducible algebraic projective hypersurface of dimension $N$and degree at least $2$ it may be conjectured that there are$O(B^{N+\varepsilon})$ rational points of height at most $B$, for any $\varepsilon>0$.The talk will look at the evidence for this conjecture, and at progresstowards it. Salle Adresse