Last week, at the invitation of Hun Hee Lee, I gave a series of three lectures on some applications of random matrix theory to problems in quantum information theory. The notes are available here. After discussing the Marchenko–Pastur theorem, I present my result with Teo Banica on partial transposition of random quantum states; this is also the occasion to review some basic facts from free probability. The third lecture dealt with random quantum channels, and I covered the results I obtained with Serban Belinschi and Benoit Collins here and here.
A very nice result of my summer intern, Guillaume Dumas, extending the notion of #superpermutations to matrices arxiv.org/abs/1908.04708 . Would love to have some feedback from @gregeganSF and @robinhouston
Short but very interesting piece by G. Aubrun from @UniversiteLyon about Grothendieck's Résumé images.math.cnrs.fr/1953-un-R…. Watch G. Pisier's 2 hour long introduction to the subject savoirs.ens.fr/expose.php?id=… . All the above is in French