Explore the foundations of tame phenomena over the real field in this graduate-level lecture on tameness beyond o-minimality. Delve into key concepts such as the real field, partial order, and postminimality as presented by Philipp Hieronymi from the University of Bonn. Examine the naive goal of the field and compare it with other programs in mathematics. Investigate the minimum and the setting of open sets, and analyze various examples to deepen understanding. Gain insights into this complex mathematical topic through a comprehensive introduction that sets the stage for further exploration in the graduate course series.
Overview
Syllabus
Introduction
The real field
Partial order
The naive goal
Comparison with other programs
The minimum
The setting
The open set
Postminimality
Examples
Taught by
Fields Institute
Related Courses
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Tameness Beyond O-Minimality - Lecture 2
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O-minimality and the Pila-Wilkie Theorem - Lecture 2
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O-minimality and the Pila-Wilkie Theorem - Lecture 1
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Applications of O-minimality to Hodge Theory - Lecture 2
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Tame Phenomena Over the Real Field - Graduate Course Lecture 1
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Complex Analysis in O-Minimal Expansions of Real Closed Fields - Lecture 1
