Tue, May 17, 2022
1:40 pm - 2:45 pm
066 University Hall or zoom
Title: Generic multiplicative endomorphism of a field
Speaker: Christian d'Elbee (The Fields Institute)
Speaker's URL: https://choum.net/~chris/page_perso/
Abstract: In this talk, I will introduce the theory of generic multiplicative endomorphism of a field, by which I mean the model-companion of the theory of fields expanded by a multiplicative endomorphism, we call it ACFH. I will discuss the basic properties of this theory as well as analogies and differences between ACFH and the theory ACFA of generic difference fields. A famous result of Hrushovski states that the ultra-product of Frobenius fields gives a model of ACFA. What would be an analogous problem for ACFH?