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UID:5314@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20241203T143000
DTEND;TZID=Europe/Paris:20241203T153000
DTSTAMP:20240823T075457Z
URL:https://www.i2m.univ-amu.fr/evenements/uniqueness-of-malliavin-kontsev
 ich-suhov-measures/
SUMMARY:Guillaume BAVEREZ (I2M): Uniqueness of Malliavin-Kontsevich-Suhov m
 easures
DESCRIPTION:Guillaume BAVEREZ: Abstract: About 20 years ago\, Kontsevich &a
 mp\; Suhov conjectured the existence and uniqueness of a family of measure
 s on the set of Jordan curves\, characterised by conformal invariance and 
 another property called "conformal restriction". This conjecture was motiv
 ated by (seemingly unrelated) works of Schramm\, Lawler &amp\; Werner on s
 tochastic Loewner evolutions (SLE)\, and Malliavin\, Airault &amp\; Thalma
 ier on "unitarising measures". The existence of this family was settled by
  works of Werner-Kemppainen and Zhan\, using a loop version of SLE. The un
 iqueness was recently obtained in a joint work with Jego.\nI will start by
  reviewing the different notions involved before giving some ideas of our 
 proof of uniqueness: in a nutshell\, we construct a family of "orthogonal 
 polynomials" which completely characterise the measure. In the remaining t
 ime\, I will discuss the broader context in which our construction fits\, 
 namely the conformal field theory associated with SLE.
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:20241027T020000
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