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Explore semiclassical gravity in four-dimensional Poincaré Anti-de Sitter spacetime through this 26-minute conference talk from the VI Siembra-HoLAGrav Young Frontiers Meeting at ICTP-SAIFR. Delve into the mathematical framework of Hadamard renormalization and its application to solving semiclassical Einstein equations in the PAdS₄ context. Learn about the theoretical foundations that bridge quantum field theory and general relativity, examining how quantum matter fields backreact on curved spacetime geometry. Discover the technical methods used to handle divergences in quantum field calculations on curved backgrounds and understand their role in constructing consistent solutions to the semiclassical Einstein field equations. Gain insights into cutting-edge research in theoretical physics that combines aspects of quantum mechanics, general relativity, and mathematical physics in the specific geometric setting of Poincaré Anti-de Sitter spacetime.
