Title of Seminar: Random Geometry Seminar 2025
Title of Talk: An ergodic approach towards an equidistribution result of Ferrero–Washington
Speaker: Bharathwaj Palvannan, IISc
Date: November 28, 2022
Time: 16:30:00 Hours
Venue: AG-77

Abstract: An important ingredient in the Ferrero--Washington proof of the vanishing of cyclotomic $\mu$-invariant for Kubota--Leopoldt $p$-adic $L$-functions is an equidistribution result which they established using the Weyl criterion. In joint work with Jungwon Lee, we provide an alternative proof by adopting a dynamical approach. We study an ergodic skew-product map on $\mathbb Z_p * [0,1]$, which is then suitably identified as a factor of the 2-sided Bernoulli shift on the alphabet space $\{0,1,2 \ldots,p-1\}$.