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Generic multiplicative endomorphism of a field

Logic Seminar
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?
 

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