Date:
Wed, 30/10/202411:00-13:00
Location:
Zoom
Zoom link: https://huji.zoom.us/j/81076510336?pwd=Fkk51Gix69bJoBoxRtl6jjx7ewuyOa.1
Title: Model theory of endomorphisms of valued fields
Abstract: We tackle the problem of understanding theories of valued fields endowed with a possibly non-surjective endomorphism, the most prominent example being the limit of the action of Frobenius on non-trivially valued separably closed valued fields of positive characteristic. We establish an embedding theorem for such valued difference fields, building on previous work of Pal (in the inversive case) and Dor-Halevi (in the contracting case), and deduce Ax-Kochen/Ershov-style principles.
Title: Model theory of endomorphisms of valued fields
Abstract: We tackle the problem of understanding theories of valued fields endowed with a possibly non-surjective endomorphism, the most prominent example being the limit of the action of Frobenius on non-trivially valued separably closed valued fields of positive characteristic. We establish an embedding theorem for such valued difference fields, building on previous work of Pal (in the inversive case) and Dor-Halevi (in the contracting case), and deduce Ax-Kochen/Ershov-style principles.