Model Theory SeminarExport this event to calendar

Monday, April 15, 2019 — 11:30 AM EDT

Nigel Pynn-Coates, University of Illinois at Urbana-Champaign

"Asymptotic valued differential fields and differential-henselianity"

Henselianity plays a fundamental role in the algebra and model theory of valued fields. The notion of differential-henselianity, introduced by Scanlon and developed in further generality by Aschenbrenner, van den Dries, and van der Hoeven, is a natural generalization to the setting of valued differential fields. I will present two related theorems justifying the position that differential-henselianity plays a similarly fundamental role in the algebra of asymptotic valued differential fields, a class arising naturally from the study of Hardy fields and transseries. Time permitting, I will discuss potential applications to the model theory of such fields.

MC 5403

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