Aris Papadopoulos (University of Leeds)
- Date
- Wednesday 15 December 2021
- Category
- Models and Sets Seminar
Around Generalised Indiscernibles and Higher-arity Independence Properties
The machinery of generalised indiscernibles has played a key role in recent developments of stability theory. One of the most important applications of this machinery is characterising dividing lines by collapsing indiscernibles, a programme essentially tracing back to the early work of Shelah in the 1980s which has seen a resurgence lately, starting with the work of Scow.
In my talk, I will survey the main definitions and some important notions concerning these generalised indiscernibles and give some examples of characterising dividing lines by collapsing indiscernibles. Finally, if time permits, I will discuss an application of generalised indiscernibles to higher-arity independence properties, showing that IPkcan be witnessed by formulas in singleton variables if one allows parameters (from some model).