Simplicity Theory

Calendar

SES #	TOPICS
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