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))

Monday, November 28, 2022 from to (Asia/Kolkata)
at 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}.