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Explore conformally invariant expressions for physical conserved currents in Unimodular Gravity through this 48-minute conference talk by Irene Sánchez-Ruiz from Universidad Autonoma de Madrid. Begin with a comprehensive introduction and motivation for Unimodular Gravity theory, examining both the Einstein-Hilbert Lagrangian and the Einstein Lagrangian formulations. Learn about the introduction of an auxiliary unimodular metric that maintains Weyl invariance and discover the significant implications this new symmetry has for conserved currents in gravitational theory. Gain practical understanding through detailed analysis of the Painlevé-Gullstrand extension of Schwarzschild spacetime, which serves as a concrete illustration of the theoretical concepts presented. Understand the fundamental relationship between physical charges and conformal variance in the context of unimodular gravity theories, providing insights into advanced topics in theoretical physics and general relativity.