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Explore the Extended Dynamical Mean-Field Theory (EDMFT) approach to understanding fluctuating charge order in condensed matter systems. Delve into the role of long-range Coulomb interactions in charge ordering within poorly conducting materials, including Wigner crystallization in 2D electronic systems and moiré materials. Examine the fragility of electronic crystals and the resulting short-range order signatures. Learn how EDMFT captures short-range charge-orders, leading to pseudogap behavior and electronic polaron formation. Consider potential applications of this method in studying short-range chemical order in random ionic crystals and high entropy alloys. Gain insights from Prof. Vladmir Dobrosavljevic's presentation on this advanced theoretical approach to condensed matter physics.