Samir Siksek
Diophantine equations over Q∞
Let p be a rational prime, and denote by Q∞ the cyclotomic Zp-extension of Q. We survey some results concerning the arithmetic of hyperbolic curves and abelian varieties over Q∞. In particular, we show that analogues of Siegel's theorem on the thrice punctured line do not hold. This is based on joint work with Robin Visser.