Title: On a uniformity in the adelic equidistribution theorem
Abstract: In this talk, we would present a generalization of the
quasi-adelic equidistribution by Ye on a sequence of Galois orbits on the affine
line over the separable closure of a product formula field having small heights with respect to a quasiadelic measure. Our generalization is to a sequence of effective divisors on the projective line having both small heights and small diagonals, which is hopefully useful in a further study of arithmetic dynamics, and also involves some "uniformity" of the equidistribution over places, which might have been ever overlooked by the researchers in this field.
Time: 2018/1/16 1:30-2:30PM