Mercredi, 20 Janvier, 2010 - 15:00
Prénom de l'orateur :
Marco
Nom de l'orateur :
ILLENGO
Résumé :
Given a commutative algebraic group A defined over a number field K, one can ask if the local-global principle applies to solutions of equations of the form [n]D=P, with P in A(K). Although no complete answer is known, a cohomological investigation of this problem provides some conditions for a positive, or negative, answer.
A more complete description can be given for algebraic tori and elliptic curves.
Thème de recherche :
Théorie des nombres
Salle :
04