Abelian varieties with everywhere good reduction over certain real quadratic fields

Speaker: Lassina Dembele

Title: Abelian varieties with everywhere good reduction over certain real quadratic fields.

Abstract: In this talk, we give a complete classification of all abelian varieties with everywhere good reduction over the real quadratic fields of discriminant 53, 61 and 73. This extends previous results of Fontaine and Schoof.