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SUMMARY:Mireille Capitaine (Institut de Mathématiques de Toulouse)
DTSTART:20230201T140000Z
DTEND:20230201T150000Z
DTSTAMP:20260423T035532Z
UID:ADPS/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ADPS/12/">St
 rong convergence of tensor products of independent GUE matrices</a>\nby Mi
 reille Capitaine (Institut de Mathématiques de Toulouse) as part of Abu D
 habi Stochastics Seminar\n\n\nAbstract\nGiven tuples of properly normalize
 d independent NxN GUE matrices (X_1\,…\,X_r) and (Y_1\,…\,Y_s)\, we pr
 oved that the tuple (X_1⊗I\,…\,X_r⊗I\,I⊗Y_1\,…\,I⊗Y_s) of matr
 ices converges strongly as N tends to infinity. We will present the key st
 eps and ideas of the proof. Note that it was shown by B. Hayes that this r
 esult implies that the Peterson-Thom conjecture is true. This is a joint w
 ork with Serban Belinschi.\n
LOCATION:https://researchseminars.org/talk/ADPS/12/
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