Relativity & Cosmology: From Spacetime to Quantum Gravity

This lecture provides a foundational understanding of how spacetime emerges from fundamental physical principles, setting the stage for subsequent explorations of its curvature and quantum nature.

Building on the conceptual understanding of spacetime, this lecture introduces the practical computational methods used to model and understand the large-scale structure and evolution of the universe.

Having explored classical and computational aspects, this lecture delves into the observable phenomena of gravitational waves and their connection to asymptotic symmetries, bridging theory with detection.

This lecture transitions from classical and observational aspects to the quantum realm, introducing the foundational challenges of quantum cosmology in an expanding universe.

Expanding on the initial quantum cosmology concepts, this lecture further explores quantum fluctuations and information paradoxes within inflationary models, deepening the understanding of the early universe.

The final step addresses the most advanced theoretical challenges, examining how a consistent Hilbert space for quantum gravity can be constructed from the gravitational path integral.