#  Seminar: Zhengwei Liu (Tsinghua University & Yanqi Lake Beijing Institute of Mathematical Sciences and Applications), Uncertainty Principles on Quantum Symmetries 

 



####  calendar\_today Date and Time 

 **October 12, 2021** 

 09:30AM - 09:30AM EDT 

####  pin\_drop Location 

 **Zoom and Jefferson 453 for Harvard affiliates**  



 

 



 

 Zoom link: <https://harvard.zoom.us/j/779283357?pwd=MitXVm1pYUlJVzZqT3lwV2pCT1ZUQT09>

 **Title:** Uncertainty Principles on Quantum Symmetries

   ![Zhengwei](/sites/g/files/omnuum6611/files/styles/hwp_1_1__360x360_scale/public/mathpicture/files/zhengwei.png?itok=fETDzpZ8) 

 

 **Abstract:** Uncertainty principle is a main theme in classical Fourier analysis and it is a fundamental phenomenon in quantum physics. In this talk, we discuss various uncertainty principles on quantum symmetries in quantum Fourier analysis. We show that uncertainty principles are robust when classical group symmetries are replaced by quantum symmetries, captured by von Neumann algebras. In recent work joint with Linzhe Huang and Jinsong Wu, we study a quantum analogue of the Widgerson-Widgerson uncertainty principle and give a complete answer to their conjecture.



 

 



 

 

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