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Quantum Mathematics and the Fate of Space, Time and Matter - Robbert Dijkgraaf

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The elementary particles that make up the bizarre quantum world not only represents a more fundamental description of nature, they also inspires a new realm of mathematics that might be called "quantum mathematics." This turns out to be a powerful tool to solve deep outstanding mathematical problems. Similarly, new mathematical ideas address some of the most fundamental questions in physics, such as the Big Bang, black holes, and the ultimate fate of space, time and matter.
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