Model Theory - From Logic to Geometric Stability Theory and O-Minimality I
University of Miami via YouTube
Overview
This course provides a general introduction to model theory, focusing on o-minimality as a realization of its principles, with insights into stability and categoricity theory. It explores the application of these concepts in algebraic and analytic complex geometry, including some arithmetic aspects. The course covers topics such as formalism, categoricity, classification theory, o-minimality, and differential closed fields. The teaching method involves lectures and theoretical discussions. This course is intended for individuals interested in logic, model theory, algebraic geometry, and analytic complex geometry.
Syllabus
Introduction
Task
History
Initial Questions
Formalism
Teamness
Categoricity
Classification
Classification Proof
Tarsus Zeitenberg
Starsky
OMinimality
Differentially Closed Field
General Implications
Tarsky Zeitenberg Theorem
Classification Theory
Minimal Structures
Questions
Taught by
IMSA