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Silvy Anscombe (Université Paris Cité) – Fragments of theories of tame valued fields

Category
Model Theory
Set Theory
Date
@ Roger Stevens LT14 (10M.14), online
Date
@ Roger Stevens LT14 (10M.14), online, 13:00
Location
Roger Stevens LT14 (10M.14), online
Notes
unusual room, 2 hours seminar
Speaker
Silvy Anscombe
Affiliation
Université Paris Cité

Notes: unusual room, 2 hours seminar.

Abstract: F-V Kuhlmann's theory of tame (and separably tame) valued fields is one of the most general settings in which we have AKE principles. Such principles come in many flavours; in particular, we may constrain our attention to certain "subfragments" of the languages of valued fields/rings/ordered abelian groups. I will explain some of the underlying algebra, and show some recent work on such principles in expansions by sections of the residue map. This will touch on (separate) projects with Boissonneau and Fehm.