Explore the fascinating world of expander graphs in this 21-minute IEEE conference talk presented by Michael Chapman, Nati Linial, and Yuval Peled. Delve into both local and global aspects of expanders, starting with an introduction to the concept and its significance. Learn about local expanders and their unique properties, followed by an engaging Q&A session. Discover key results in the field and gain insights into the construction methods for these remarkable graph structures. Witness an illustrative demonstration of regular graphs and their local expansion properties. Conclude with a comprehensive summary that ties together the essential concepts of expander graphs, providing a solid foundation for further exploration in this intriguing area of graph theory and mathematics.