Alexandra SHLAPENTOKH - Defining Valuation Rings and Other Definability Problems in Number Theory
Channel: Institut des Hautes Études Scientifiques (IHÉS)
Date: 2019-02-01

We  discuss  questions  concerning  first-order  and  existential  definability  over  number  fields  and function fields in the language of rings and its extensions. In particular, we consider the problem of defining valuations  rings  over  finite  and  infinite  algebraic  extensions  of Q,  and  over  function  fields  of  arbitrary characteristic.

Vidéo réalisée avec le soutien du projet AAMOT de l’ERC