October 24, 2017
1:45PM - 2:45PM
Dulles Hall 016
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2017-10-24 13:45:00
2017-10-24 14:45:00
Logic Seminar - Chieu Minh Tran
Title: Algebraically closed fields with a multiplicative cyclic orderingSpeaker: Chieu Minh Tran (University of Illinois Urbana Champaign)Abstract: We study the model theory of structures (F,<) where F is the algebraic closure of the field of p elements and < is a cyclic ordering on the nonzero elements F* induced by an injective group homomorphism h: F*--> C*. Various model-theoretic properties of the structure turn out to be consequences of number-theoretic behaviors of the character map h. The results obtained loosely answer a question by van den Dries, Hrushovski, and Kowalski and form parts of a program to investigate the model-theoretic properties of structures where there is a presence of randomness.
Dulles Hall 016
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2017-10-24 13:45:00
2017-10-24 14:45:00
Logic Seminar - Chieu Minh Tran
Title: Algebraically closed fields with a multiplicative cyclic orderingSpeaker: Chieu Minh Tran (University of Illinois Urbana Champaign)Abstract: We study the model theory of structures (F,<) where F is the algebraic closure of the field of p elements and < is a cyclic ordering on the nonzero elements F* induced by an injective group homomorphism h: F*--> C*. Various model-theoretic properties of the structure turn out to be consequences of number-theoretic behaviors of the character map h. The results obtained loosely answer a question by van den Dries, Hrushovski, and Kowalski and form parts of a program to investigate the model-theoretic properties of structures where there is a presence of randomness.
Dulles Hall 016
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Algebraically closed fields with a multiplicative cyclic ordering
Speaker: Chieu Minh Tran (University of Illinois Urbana Champaign)
Abstract: We study the model theory of structures (F,<) where F is the algebraic closure of the field of p elements and < is a cyclic ordering on the nonzero elements F* induced by an injective group homomorphism h: F*--> C*. Various model-theoretic properties of the structure turn out to be consequences of number-theoretic behaviors of the character map h. The results obtained loosely answer a question by van den Dries, Hrushovski, and Kowalski and form parts of a program to investigate the model-theoretic properties of structures where there is a presence of randomness.
