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• Can we develop practical theoretical tools to describe real-time dynamics and nonlinear response of interacting quantum systems as well as their electronic structure?

• Can we develop general principles to guide us in the study of modern materials that are vastly more complex than materials of the past?

• What is the physics of the normal and condensed states of high-temperature superconductors? Can we synthesize room-temperature superconductors and overcome practical materials difficulties?

• Finally, if the past is any guide, we will be faced with completely unexpected and surprising quantum phenomena as new materials are synthesized. What new techniques will have to be developed to deal with these surprises?

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