# Universal norms and Greenberg conjecture

## TL;DR

This paper explores the properties of universal norms in cyclotomic Z{ ext{ extonehalf}}-towers of totally real fields and examines their relation to Greenberg's conjecture on Iwasawa invariants.

## Contribution

It provides new insights into the structure of universal norms and their connection to Greenberg's conjecture in Iwasawa theory.

## Key findings

- Analysis of universal norms in cyclotomic towers
- Connections established with Greenberg's conjecture
- Potential implications for Iwasawa invariants

## Abstract

We investigate the group of universal norms attached to the cyclotomic Z {\ell}-tower of a totally real number field in connection with Grenberg's conjecture on Iwasawa invariants of such a field.