Session S21 - Galois representations and automorphic forms

Tuesday, July 13, 12:50 ~ 13:30 UTC-3

p-adic equidistribution of CM points

Ricardo Menares

Pontificia Universidad Católica de Chile, Chile   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

A fundamental result by Duke, later extended by Clozel and Ullmo, establishes that CM points of growing discriminant equidistribute on the complex modular curve, with respect to the hyperbolic measure.

In this talk we will describe, for any prime p, the distribution of CM points on the p-adic space associated to the modular curve. In stark contrast with the complex case, there is a countable, infinite collection of accumulation measures describing the distribution of CM points.

Joint work with Sebastián Herrero (Pontificia Universidad Católica de Chile) and Juan Rivera-Letelier (University of Rochester).

View abstract PDF