Séminaire Logique mathématique ICJ

On 1-dimensional definable p-adic Lie groups

by Ningyuan Yao (IHES)

Salle 112 Bât Braconnuer

Salle 112 Bât Braconnuer

The 1-dim groups definable in o-minimal structures has been well understood. For example, Adam W. Strzebonski proved that every definably connected 1-dim group definable in the field of reals is either isomorphic to (R, +) or isomorphic to S^1 . However, up to now, there have been very few analogous results for p-adic context. The main idea of this talk is to classify the 1-dim definably amenable groups by using new results of Acosta, Montenegro, Onshuus and Simon.