Explore a comprehensive lecture on the formalization of Deligne's theorem in number theory, presented by Michail Karatarakis at the Hausdorff Center for Mathematics. Delve into the intricate details of this significant mathematical concept, gaining insights into its applications and implications within the field. Over the course of one hour and two minutes, examine the rigorous mathematical foundations and methodologies employed in formalizing this theorem, enhancing your understanding of advanced number theory concepts.