Carroll and Applications - Selected Topics - Lecture 1

Explore the intricacies of Carrollian physics and its applications in this comprehensive lecture from the Thematic Programme on "Carrollian Physics and Holography" at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the resurgence of asymptotically flat spacetimes in light of gravitational wave discoveries and the growing interest in flat-space holography. Gain insights into Carrollian geometric structures and learn how Ricci-flat spacetimes are constructed using data from the conformal Carrollian boundary at null infinity. Discover the importance of the energy-momentum tensor in asymptotically flat dynamics and its potential for flat-space holographic applications. Examine the Laurent expansion of the energy-momentum tensor in powers of the cosmological constant and its role in providing crucial data for understanding these complex systems.