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On the operator norm of tensors matrices involving Haar unitaries

Mathphys Analysis Seminar

Date: Thursday, April 27, 2023 16:15 - 17:15
Speaker: Benoit Collins (Kyoto University)
Location: Heinzel Seminar Room (I21.EG.101), Office Building West, ISTA
Series: Mathematics and CS Seminar
Host: Laszlo Erdös

I will introduce the problem of studying the operator norm of random matrices built from polynomial operations involving multiple iid Haar unitary random matrices or random permutation matrices. I will explain its relevance in free probability and other areas, known results, known limitations in the context of random tensors, and recent results in the case of tensors. Time allowing, I will describe the techniques involved (operator-valued non-backtracking theory). This is in part joint work with Charles Bordenave, and in particular, based on the recent preprint arXiv/2304.05714

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