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The third Russian-Chinese conference on complex analysis, algebra, algebraic geometry and mathematical physics
May 15, 2016 14:00–14:40, Moscow, Steklov Mathematical Institute of RAS, Gubkina, 8
 


Noncommutative Differential Geometry via Deformation Quantization and Applications in Gravity

Xiao Zhang

Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences
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MP4 271.2 Mb

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Xiao Zhang
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Abstract: Noncommutative metrics and curvatures are discussed in frame of deformation quantization, and the noncommutative Einstein field equations are also proposed. The deformation of classical pp-wave is shown to be the exact solution of vacuum field equations and the deformation of classical Schwarzschild solution is shown to be the quantum black hole solution not depending on the time. Some physical implications of these solutions are also discussed. The talk is based on the joint works with Chaichian, Tureanu, W. Sun, D. Wang, N. Xie, R.B. Zhang.

Language: English

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