For the UCLA Logic Seminar, in April 2016, I gave the lecture Categoricity in Non-Elementary contexts – The Role of Large Cardinals.
Here are (very sketchy) notes for a minicourse called Model Theory of Abstract Elementary Classes: some recent trends. I gave that minicourse at the IPM in November 2015. The four two-hour sessions were:
- Day 1: The early days of AECs
- Day 2: Stability Theory of AECs
- Day 3: Stability Theory of AECs (II)
- Day 4: Connections with Set Theory
- Appendix: more examples
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.