Algebra Seminar

Let L be a finite extension of Q_p. The character variety is the rigid analytic group variety that parametrizes locally L-analytic characters of the group (o_L,+), first defined by Schneider and Teitelbaum in the context of p-adic Fourier theory.  Ardakov and Berger ask the question whether every global rigid function bounded by 1 comes from a measure. They also connect this question to the theory of integer valued polynomials.

 

In this talk we will present the main objects of study, give an affirmative answer to the question of Ardakov and Berger, and explain what consequences this has for integer valued polynomials.