(slides)
Some connections first between categoricity in model theory and the role of large cardinals in pinning down tameness (work of Boney and Unger), with a slight reframing of Boney’s proof. Then, more model theory and set theory connections, around the combinatorics of pcf structures, problems of absoluteness and tree properties.
1st Mexico-USA Logicfest – ITAM, Mexico City, January 2018.
A lecture on Reflection Principles & Abstract Elementary Classes given at the Centre de Recerca Matemàtica (Bellaterra, Catalunya), in the context of the Workshop on Set-Theoretical Aspects of the Model Theory of Strong Logics, in September of 2016.
For the UCLA Logic Seminar, in April 2016, I gave the lecture Categoricity in Non-Elementary contexts – The Role of Large Cardinals.
For the Logic Seminar at the University of Turin in June 2015 I gave the lecture Categoricità, dalla teoria dei modelli alla teoria degli insiemi? (Categoricity, from Model Theory to Set Theory?)
Andrés Villaveces 