Introduction to O-Minimality and Point-Counting - Part I

Explore o-minimality theory from a practical user's perspective in this mathematical seminar lecture delivered at the Institute for Advanced Study. Begin with fundamental concepts assuming no prior background knowledge, then examine the main examples of o-minimal structures to help identify whether specific sets belong to these structures. Learn about the key theorems of o-minimality and their applications to various mathematical sets, providing essential tools for researchers working with o-minimal structures in their mathematical investigations.