Neo-Stability Theory Reading Group
Seminars and Reading Groups
Description
This reading group is focused on understanding the basics of stability theory and the fundamental concepts underpinning its study in the last 20 years. This is modelled after a course prepared by Franziska Jahnke, who has helped direct this reading group.
Our preliminary topic will start with topics covering the basics of contemporary model theory, namely Morley’s categoricity theorem, and related topics:
- Saturated Models, kappa-saturation, Monster Models
- Strong Minimality, Algebraic and definable closure, Independence, The Exhchange Principle
- Geometries and Pregeometries, Local modularity
- O-minimality, Semi-algebraic sets
- Omega-stability, Morley rank and degree, Algebraicity Conjecture, Indiscernibles
References
Katrin Tent, Martin Ziegler. (2012) A Course in Model Theory.
Meeting Schedule
We meet bi-weekly. Meetings are in person in SP904.
| Date | Speaker | Topic | Location | Time |
|---|---|---|---|---|
| 05/10/2023 | N/A | Kick-Off Meeting: Introductions. Basic Motivations. Non-stability of the theory of Linear Orders. Scheduling. | F1.15 | 13h00-15h00 |
| 12/10/2023 | Ferreol Lavaud | Saturated Models, Kappa-saturation, Monster Models | F1.15 | 13h00-15h00 |
| 2/11/2023 | Rodrigo Almeida | Section 5.1 + Section 5.2 | F2.19 | 10h30-12h15 |
| 9/11/2023 | Ferreol Lavaud | Section 5.3 + Section 5.4 | F2.19 | 10h30-12h15 |