1 | The Basic Setting: Universal Domains |
2 | Extraction of Indiscernible Sequences (Taught by David K. Milovich) |
3 | Dividing and its Basic Properties |
4 | Simplicity
Statement of the Properties of Independence
Morley Sequences
Proof of Symmetry and Transitivity from Extension |
5 | Thickness
Total D-rank and Extension |
6 | Lascar Strong Types and the Independence Theorem (Partially taught by Christina Goddard) |
7 | Examples: Hilbert Spaces, Hyperimaginary Sorts (Taught by Josh Nichols-Barrer) |
8 | Generically Transitive Relations
Amalgamation Bases, Parallelism and Canonical Bases |
9 | Characterisation of Simplicity and Non-dividing in Terms of Abstract Notion of Independence (Taught by Cameron Freer) |
10 | Supersimplicity
Lascar Inequalities
Stability |
11-12 | Stable Theories with a Generic Automorphism |
13-14 | Groups: Stratified Ranks, Generic Elements and Types
Connected Components, Stabilisers |
15-16 | Lovely Pairs |