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Explore the second lecture in a graduate course on tame phenomena over the real field, focusing on tameness beyond o-minimality. Delve into Miller's conjecture, examine the first result, and study various concepts including Sigma Sets, metric dimensions, Minkowski dimensions, and Asura dimensions. Analyze dense omega orders through a lemma and engage with an exercise to reinforce understanding. Learn from Professor Philipp Hieronymi of the University of Bonn as he presents this 52-minute lecture at the Fields Institute, part of a comprehensive series on tame phenomena in mathematics.
Syllabus
Introduction
Millers conjecture
First result
Example
Sigma Sets
The largest metric dimension
Metric dimensions
Minkowski dimensions
Asura dimensions
Dense omega orders
lemma
exercise
Taught by
Fields Institute