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Explore the fundamental differences between celestial and Carrollian symmetries in this 59-minute theoretical physics lecture delivered at the Galileo Galilei Institute. Delve into advanced concepts in mathematical physics as the speaker examines the distinct characteristics and applications of these two important symmetry frameworks. Analyze how celestial symmetries relate to asymptotic structures in spacetime and their role in understanding gravitational physics, while investigating Carrollian symmetries and their connection to ultra-relativistic limits and flat space holography. Compare and contrast these symmetry groups, their mathematical formulations, and their physical interpretations in modern theoretical physics. Gain insights into cutting-edge research at the intersection of general relativity, quantum field theory, and mathematical physics through detailed examination of these sophisticated symmetry structures and their implications for our understanding of spacetime geometry and fundamental interactions.
