Simplicity Theory OpenCourseWare: A Free Graduate Level Course by MIT on the Study of Model Theory
'Simplicity Theory' is a free OpenCourseWare that is offered by the Massachusetts Institute of Technology. This advanced course in model theory, is concerned with the basic nature, function and growth of formal models. Graduate students earning master's degrees in Mathematics or those interested in applying the theories taught in this course will benefit the most.
Simplicity Theory: Course Specifics
| Degree Level | Free | Audio | Video | Downloads |
|---|---|---|---|---|
| Graduate | Yes | No | No | Yes |
| Lectures/Notes | Study Materials | Tests/Quizzes |
|---|---|---|
| Yes | Yes | No |
Simplicity Theory: Course Description
This OpenCourseWare examines simple theories within the context of compact abstract theories. Dr. Itay Ben-Yaacov of the MIT Department of Mathematics introduce students to a wide range of topics, such as lovely pairs and the connection between simplicity and stability. The course also focuses on the applications of universal domains to compact abstract theories, lascar strong types, the independence theorem,the characterization of simplicity and the abstract notion of independence. Students will also study definable groups in simple theories and stable theories with a generic automorphism. Sixteen lectures make up this OpenCourseWare.
The course materials include downloadable PDF files that consist of lecture notes, 12 assignments and a reading list. Individuals interested in taking this course should go to the simplicity theory course page.
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