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UID:8887@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20260113T143000
DTEND;TZID=Europe/Paris:20260113T153000
DTSTAMP:20260108T132221Z
URL:https://www.i2m.univ-amu.fr/evenements/tba-266/
SUMMARY:Quentin FRANÇOIS (Université de Lille): A positive formula for th
 e product of conjugacy classes on the unitary group.
DESCRIPTION:Quentin FRANÇOIS: We describe from a probabilistic viewpoint\n
 the convolution product of two conjugacy classes\nof the unitary group U(n
 ).\nThe description is given\nin terms of a probability distribution\non t
 he space of central measures\nwhich admits a density.\nRelating the convol
 ution\nto the quantum Littlewood-Richardson coefficients\nand using recent
  results\ndescribing those coefficients\,\nwe give a positive formula\nfor
  this density.\nIn the same flavor\nas the hive model of Knutson and Tao\,
 \nthis formula is given\nin terms of a subtraction-free sum\nof volumes of
  explicit polytopes.\n\nWe will also connect\nthe probability density\nto 
 the computation of the volume\nof the moduli space\nof flat SU(n) connecti
 ons\nand to the Yang-Mills partition function.\nThis is based on a joint w
 ork\nwith Pierre Tarrago (ArXiv:2405.06723).\n
CATEGORIES:Séminaire,Probabilités
LOCATION:I2M Saint-Charles - Salle de séminaire\, Université Aix-Marseill
 e\, Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, Franc
 e
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Université Aix-Marseille\,
  Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, France;X
 -APPLE-RADIUS=100;X-TITLE=I2M Saint-Charles - Salle de séminaire:geo:0,0
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DTSTART:20251026T020000
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