This will be organized as a learning seminar around o-minimality and its applications in number theory and analysis. We will have series of lectures devoted to various topics including:
- Basic o-minimality theory.
- Diophantine o-minimal results, e.g. the Pila-Wilkie theorem and later developments.
- Applications in arithmetic geometry, unlikely intersection problems.
- Functional transcendence and transcendental number theory.
- Quasianalytic o-minimal classes.
Depending on the background of the audience we will schedule some introductory talks before delving into more advanced topics to try to make the seminar accessible to non experts.