Trapped Surfaces, Topology of Black Holes, and the Positive Mass Theorem

Einstein's theory of gravity has been a strong driving force for the current developments in both physics and mathematics. Among its wide applications, the theory successfully describes and even predicts celestial objects, such as black holes, which were previously unknown. Over the past few decades, remarkable progress has been made using advanced techniques in geometry and analysis to resolve fundamental questions in general relativity, such as the positive mass theorem, which relates to the properties of total mass in spacetime. Furthermore, this advancement has led to the astonishing realization that black holes are governed by the same mathematical principles that govern everyday objects, such as soap films. In this talk, we will discuss the mathematical models of black holes and explore their intriguing interconnections to the positive mass theorem and other problems in geometry and physics. 

For more information on this and previous van Winter Memorial Lectures, please visit https://math.as.uky.edu/van-winter

A reception will be held in the lobby outside CP 155 at 2:45 pm.