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Explore the quantization of Carrollian field theories in this comprehensive lecture delivered at the Galileo Galilei Institute. Delve into the mathematical framework and theoretical foundations required to quantize field theories in Carrollian spacetimes, which represent the ultra-relativistic limit where the speed of light approaches zero. Learn about the unique challenges and methodologies involved in applying quantum mechanical principles to these exotic spacetime geometries, examining how traditional quantization procedures must be adapted for Carrollian physics. Discover the connections between Carrollian field theories and other areas of theoretical physics, including their relevance to holographic dualities and flat space holography. Gain insights into the current research developments in this specialized field of mathematical physics and understand the implications for our broader understanding of quantum field theory in non-standard spacetime backgrounds.
