October 29, 2019
1:50PM - 2:50PM
Dulles Hall 012
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2019-10-29 13:50:00
2019-10-29 14:50:00
Logic Seminar - Nigel Pynn-Coates
Title: Pre-H-fields and model companions
Speaker: Nigel Pynn-Coates - UIUC
Abstract: Pre-H-fields, introduced by Aschenbrenner and van den Dries in their work on the model theory of transseries and Hardy fields, provide a framework for studying the asymptotic behavior of real-valued functions at infinity from an algebraic and model-theoretic perspective. Together with van der Hoeven they showed that the theory of pre-H-fields has a model companion that is almost the theory of transseries, in particular, the model companion is "exponentially bounded" in a way that can be made precise. I will discuss a theory of pre-H-fields having a model companion that is not exponentially bounded.
Dulles Hall 012
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2019-10-29 13:50:00
2019-10-29 14:50:00
Logic Seminar - Nigel Pynn-Coates
Title: Pre-H-fields and model companions
Speaker: Nigel Pynn-Coates - UIUC
Abstract: Pre-H-fields, introduced by Aschenbrenner and van den Dries in their work on the model theory of transseries and Hardy fields, provide a framework for studying the asymptotic behavior of real-valued functions at infinity from an algebraic and model-theoretic perspective. Together with van der Hoeven they showed that the theory of pre-H-fields has a model companion that is almost the theory of transseries, in particular, the model companion is "exponentially bounded" in a way that can be made precise. I will discuss a theory of pre-H-fields having a model companion that is not exponentially bounded.
Dulles Hall 012
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Pre-H-fields and model companions
Speaker: Nigel Pynn-Coates - UIUC
Abstract: Pre-H-fields, introduced by Aschenbrenner and van den Dries in their work on the model theory of transseries and Hardy fields, provide a framework for studying the asymptotic behavior of real-valued functions at infinity from an algebraic and model-theoretic perspective. Together with van der Hoeven they showed that the theory of pre-H-fields has a model companion that is almost the theory of transseries, in particular, the model companion is "exponentially bounded" in a way that can be made precise. I will discuss a theory of pre-H-fields having a model companion that is not exponentially bounded.
