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SUMMARY:Colin McSwiggen (NYU)
DTSTART:20211022T163000Z
DTEND:20211022T173000Z
DTSTAMP:20260423T022814Z
UID:PatC/51
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PatC/51/">Ra
 ndom matrix models arising from projections of orbital measures</a>\nby Co
 lin McSwiggen (NYU) as part of Probability and the City Seminar\n\n\nAbstr
 act\nA number of widely studied random matrix models can be realized as pr
 ojections of invariant measures on group orbits.  Examples include the ran
 domized Horn's problem\, the randomized Schur's problem\, and the orbital 
 corners process.  In this talk we will introduce a general framework that 
 unifies these models in the case of coadjoint orbits of a compact Lie grou
 p.  We will present both recent and classical results that hold in this ge
 neral setting\, and we will discuss applications to combinatorial represen
 tation theory and quantum information theory.  The talk will be accessible
  to probabilists without a background in Lie theory or representation theo
 ry.  Results presented will include joint work with Jean-Bernard Zuber\, R
 obert Coquereaux\, and Benoît Collins.\n
LOCATION:https://researchseminars.org/talk/PatC/51/
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