Princeton University Donald R. Hamilton Colloquium Series

Abstract: Historically, the synergy between physics and geometry, from the time of Archimedes and Newton to the era of Einstein, has repeatedly catalyzed breakthroughs in physics and mathematics. In this presentation, we will explore a new narrative in which physics and geometry intertwine. Specifically, I will discuss how non-commutative geometry—a mathematical framework born from the insights of physicists—offers fresh perspectives on long-standing challenges in physics, notably the phase transitions of both classical and quantum states of matter. Furthermore, I will highlight its broader implications, showcasing its potential influence across various areas of physics, from the enigmas of quantum matter to quantum field theories.