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Explore the mathematical relationship between Carrollian physics and anti-de Sitter spacetime in this hour-long theoretical physics lecture delivered at the Galileo Galilei Institute. Delve into the derivation and properties of Carrollian momenta as they emerge from anti-de Sitter geometry, examining the fundamental connections between these two important concepts in modern theoretical physics. Learn about the mathematical frameworks that link Carrollian structures—which describe physics in the ultra-relativistic limit where the speed of light approaches zero—with the curved spacetime geometry of anti-de Sitter space. Gain insights into advanced topics in mathematical physics, differential geometry, and theoretical frameworks that bridge different physical regimes, making this presentation valuable for researchers and advanced students working in general relativity, string theory, and related fields of theoretical physics.
