Absolutely abelian extensions

Data Seminario: 
06-May-2021
Ora Inizio: 
16:00
Ora Fine: 
18:00
Francesco Campagna
University of Copenhagen

From a result of Lettl we know that in an absolutely abelian extension of p-adic fields the ring of integers is free over the associated order, and important consequences on the structure of the associated order (for instance in some cases the associated order is maximal). Moreover we can deduce that in an absolutely abelian extension of number fields the ring of integers is locally free over the associated order.