Explore the fundamentals of tame control theory in this 48-minute lecture by Chris Miller from The Ohio State University. Delve into basic definitions, motivation questions, and first-order logic as part of the Thematic Program on Tame Geometry, Transseries and Applications to Analysis and Geometry. Examine relative notions, descriptive set theory, and natural questions surrounding vector fields and generic structures. Investigate the absence of minimal structures and irrational powers, and discover Miller's main contention regarding application-oriented mathematics. Gain insights into local trajectories and annotation techniques in this comprehensive exploration of tame control theory presented at the Fields Institute.
Overview
Syllabus
Intro
Disclaimer
Basic definitions
Motivation questions
First order logic
Relative notion
Descriptive set theory
Natural questions
Vector fields
Starting point
Field
Generic structures
No minimal structures
No irrational powers
My main contention
Application oriented math
Local trajectories
Annotating
Taught by
Fields Institute
