Courses:

Simplicity Theory >> Content Detail



Calendar / Schedule



Calendar

SES #TOPICS
1The Basic Setting: Universal Domains
2Extraction of Indiscernible Sequences
(Taught by David K. Milovich)
3Dividing and its Basic Properties
4Simplicity

Statement of the Properties of Independence

Morley Sequences

Proof of Symmetry and Transitivity from Extension
5Thickness

Total D-rank and Extension
6Lascar Strong Types and the Independence Theorem
(Partially taught by Christina Goddard)
7Examples: Hilbert Spaces, Hyperimaginary Sorts
(Taught by Josh Nichols-Barrer)
8Generically Transitive Relations

Amalgamation Bases, Parallelism and Canonical Bases
9Characterisation of Simplicity and Non-dividing in Terms of Abstract Notion of Independence
(Taught by Cameron Freer)
10Supersimplicity

Lascar Inequalities

Stability
11-12Stable Theories with a Generic Automorphism
13-14Groups: Stratified Ranks, Generic Elements and Types

Connected Components, Stabilisers
15-16Lovely Pairs

 








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