Explore a comprehensive lecture on model theory, focusing on o-minimality and its principles, as well as stability and categoricity theory. Delve into the connections between model theory and algebraic and analytic complex geometry, including arithmetic aspects. Learn from Boris Zilber of Oxford University as he provides a general introduction to the subject, emphasizing the realization of model theory principles through o-minimality. Gain insights into the application of these concepts in geometric stability theory and their relevance to complex mathematical structures.