Title: Asymptotics and codimensions of modules over Iwasawa algebras
Speaker: Sujatha Ramdorai (University of British Columbia, Canada)
Date: 04 February 2022
Time: 3 pm
Venue: Microsoft Teams (Online)
Let $R$ be the Iwasawa algebra over a compact, $p$-adic, pro-$p$ group
$G$, where $G$ arises as a Galois group of number fields from Galois representations.
Suppose $M$ is a finitely generated $R$-module. In the late 1970’s , Harris studied the
asymptotic growth of the ranks of certain coinvariants of $M$ arising from the action
of open subgroups of $G$ and related them to the codimension of $M$. In this talk, we
explain how Harris’ proofs can be simplified and improved upon, with possible
applications to studying some natural subquotients of the Galois groups of number fields.