During the past 35 years the subjects of geometry and physics have become increasingly intertwined. The new Simons Center for Geometry and Physics is dedicated to exploring this relationship and its consequences: Why do the mathematically non-rigorous methods of physics lead to so many fruitful questions and conjectures in geometry and possibly lead eventually to a completely new kind of geometry? Conversely, are quantum field theory and/or string theory the way to describe the fundamental laws of nature, and is a new mathematical context necessary for their correct formulation and analysis? Prof. Morgan's talk was part of the Inauguration Faculty Lecture Series at Stony Brook University.