School of Mathematics Seminars and Lectures

An ergodic approach towards an equidistribution result of Ferrero–Washington

by Prof. Bharathwaj Palvannan (Indian Institute of Science (IISc))

Asia/Kolkata
A369

A369

Description
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 \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,…,p-1}.