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 on the Model Theory of the j-mapping, given for Arctic Set Theory 2, directed to an audience consisting of set theorists.