Clay Mathematics Institute

Dedicated to increasing and disseminating mathematical knowledge

Unlikely intersections and Pellian polynomials

Umberto Zannier (SNS Pisa)

Abstract: We shall discuss a Pell equation X^2-D(t)T^2=1  in polynomials, and especially the distribution of complex polynomials D(t) such that the equation has a   solution in nonconstant polynomials X(t), Y(t). This topic is related to a conjecture of Pink on Unlikely Intersections.