Generic multiplicative endomorphism of a field

Image
Logic Seminar
May 17, 2022
1:40PM - 2:45PM
Location
066 University Hall or zoom

Date Range
Add to Calendar 2022-05-17 13:40:00 2022-05-17 14:45:00 Generic multiplicative endomorphism of a field 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?   066 University Hall or zoom Department of Mathematics math@osu.edu America/New_York public
Description

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?
 

Events Filters: