Samir Siksek, Warwick University

April 23rd, 2021 4:00-5:00 pm CET

Title : Integral points on punctured curves and punctured abelian varieties

Abstract :

Let A/Q be an abelian variety and suppose A(Q)=0. Let ℓ be a rational prime. Under a mild condition on the mod ℓ representation of A, we show that the punctured abelian variety A−0 has no integral points over 100% of cyclic degree ℓ number fields.