BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Uniqueness of Malliavin—Kontsevich—Suhov measures - Antoine Je
 go (EPFL - Ecole Polytechnique Fédérale de Lausanne)
DTSTART:20241028T153000Z
DTEND:20241028T163000Z
UID:TALK220720@talks.cam.ac.uk
DESCRIPTION:About 20 years ago\, Kontsevich & Suhov conjectured the existe
 nce and uniqueness of a family of measures on the set of Jordan curves\, c
 haracterised by conformal invariance and a restriction-type property. This
  conjecture was motivated by (seemingly unrelated) works of Schramm\, Lawl
 er & Werner on Schramm&mdash\;Loewner evolutions (SLE)\, and Malliavin\, A
 irault & Thalmaier on &ldquo\;unitarising measures&rdquo\;. The existence 
 of this family was settled by works of Werner&mdash\;Kemppainen and Zhan\,
  using a loop version of SLE. The uniqueness was recently obtained in a jo
 int work with Baverez. I will start by reviewing the different notions inv
 olved before giving some ideas of our proof of uniqueness: in a nutshell\,
  we construct a family of &ldquo\;orthogonal polynomials&rdquo\; which com
 pletely characterises the measure. I will discuss the broader context in w
 hich our construction fits\, namely the conformal field theory associated 
 with SLE.
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR