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The pointwise convergence problem for the one dimensional Schrödinger equation describing infinitely many particles

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If you have a question about this talk, please contact Alessio Martini.

This talk is based on the joint work with Professors Neal Bez and Sanghyuk Lee. Due to Bourgain (2016) and Du-Zhang (2018), Carleson’s problem for the Schrödinger propagator is almost solved up to endpoint. These results can be regarded as the convergence problem for one particle. Our motivation in this talk is what if you consider the system of many particles. I will explain our progress to this (vague) question. Our result has a close link with the Strichartz estimate for the orthonormal system input.

This talk is part of the Analysis Seminar series.

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