Avviso Seminario
Dipartimento di Matematica e Applicazioni “Renato Caccioppoli”
Università degli Studi di Napoli “Federico II”
Martedì 27 febbraio 2024 Aula C, h. 12:00
Omar Leon Sanchez
University of Manchester
“A differential version of Ershov’s theorem”
Ershov’s theorem describes the completions of the theory of separably closed fields
based of the degree of imperfection. In this talk, I will present an analogue in the
context of differential fields. We will first introduce the class of separably differentially
closed fields and note that this class is elementary (i.e., axiomatizable in first-order
logic), denoted by SDCF. We will then define the notion of “differential” degree of
imperfection and explain why the completions SDCF and determined by specifying the
characteristic and the differential degree of imperfection