May 17, 2022
1:40PM - 2:45PM
066 University Hall or zoom
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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
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America/New_York
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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
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?