BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Charles Bordenave (Institute of Mathematics of Marseille) DTSTART:20211011T190000Z DTEND:20211011T200000Z DTSTAMP:20260423T021330Z UID:paw/35 DESCRIPTION:Title: Str ong asymptotic freeness for independent uniform variables on compact group s\nby Charles Bordenave (Institute of Mathematics of Marseille) as par t of Probability and Analysis Webinar\n\n\nAbstract\nAsymptotic freeness o f independent Haar distributed unitary matrices was discovered by Voicules cu. Many refinements have been obtained\, including strong asymptotic free ness of random unitaries and strong asymptotic freeness of random permutat ions acting on the orthogonal of the Perron-Frobenius eigenvector. In this talk\, we consider a new matrix unitary model appearing naturally from re presentation theory of compact groups. We fix a non-trivial signature\, i. e. two finite sequences of non-increasing natural numbers\, and for n larg e enough\, consider the irreducible representation of Un associated to thi s signature. We show that strong asymptotic freeness holds in this general ized context when drawing independent copies of the Haar measure. We also obtain the orthogonal variant of this result. This is a joint work with Be noît Collins.\n LOCATION:https://researchseminars.org/talk/paw/35/ END:VEVENT END:VCALENDAR