Nigel Pynn-Coates : Pre-H-fields and model companions

Posted by , part of the Logic Seminar.

At

Sept. 10, 2019, 3:30 p.m.

In

427 SEO

Abstract

Pre-H-fields are certain ordered valued differential fields introduced by Aschenbrenner, van den Dries, and van der Hoeven in their work on the model theory of transseries. They showed that the model companion of the theory of pre-H-fields is (almost) the theory of transseries. I will discuss the theory of pre-H-fields with gap 0 and describe its model completion.

There will be a bbq at Chez Baldwin, 1064 W. Polk after the seminar.