A lecture on the Small Index Property and the SIP beyond First Order, given for Arctic Set Theory 3, and with emphasis on connections with set theory.
A minicourse in Helsinki on Language, Logic and Nonelementary Classes: External/Internal Interactions, given at the University of Helsinki’s Mathematics Department in May of 2016.
The topics were
- Around The Presentation Theorem
- The Small Index Property for Homogeneous Classes
- Categories, AECs, Interpolation.
Here is the course material (presented on the blackboard).
A lecture in SLALM (Simposio Latinoamericano de Lógica Matemática) 2014 in Buenos Aires: Automorphism groups of large models: reconstruction theorems, small index property and AECs.