Italy-India Conference on Diophantine and Analytic Number Theory
timetable:
Mon 8 Mar, 11:00 - 11:30, Sala Stemmi
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Torsion points of abelian varieties over function fields
speaker: Sinnou David (Institut de Mathématiques de Jussieu, Université Paris 6)abstract: Finding a uniform bound for the order of torsion points on an abelian variety over a number field is open and only the elliptic case is known (Merel). The situation is similar over function fields. Closely linked is the conjecture of Lang-Silverman that predicts a lower bound for the Neron-Tate height. This conjecture is open in all case over number fields and known only in the elliptic case over function fields (Hindry-Silverman). We shall describe these questions and describe a strategy towards these problems over functions fields.
timetable:
Mon 8 Mar, 11:00 - 11:30, Sala Stemmi
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