Solvable points on genus one curves
Mirela Ciperiani
A genus one curve defined over Q which is locally trivial may not have a
rational point. It is natural to study the classes of field extensions
over which all such curves obtain a global point. I will explain how we
have shown that every locally trivial genus one curve with semistable
Jacobian has a point defined over a solvable extension of Q. This is joint
work with A. Wiles.