Ultraproducts and Spec (^Z)

3 March 2017
14:30
Paola D'Aquino
Abstract

We give a description of the spectra of $\hat{\mathbb Z}$ and of the
finite adeles using  ultraproducts. In describing the prime ideals and the
localizations, ultrapowers of the group $\mathbb Z$ and ultraproducts of
rings of $p$-adic integers are used.