BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Morris Ang (MIT)
DTSTART:20211105T163000Z
DTEND:20211105T173000Z
DTSTAMP:20260423T024555Z
UID:PatC/45
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PatC/45/">In
 tegrability of the conformal loop ensemble</a>\nby Morris Ang (MIT) as par
 t of Probability and the City Seminar\n\n\nAbstract\nFor 8/3 < κ < 8\, th
 e conformal loop ensemble CLEκ is a canonical random ensemble of loops wh
 ich is conformally invariant in law\, and whose loops locally look like Sc
 hramm-Loewner evolution with parameter κ. It describes the scaling limits
  of the Ising model\, percolation\, and other models. When κ ≤ 4 the lo
 ops are simple curves. In this regime we compute the three-point nesting s
 tatistic of CLEκ on the sphere\, and show it agrees with the imaginary DO
 ZZ formula of Zamolodchikov (2005).  We also obtain the expression of the 
 (properly normalized) probability that three points are on the same CLE lo
 op in terms of the DOZZ formula. The analogous quantity for three points o
 n the same cluster was previously conjectured by Delfino and Viti. To our 
 best knowledge our formula has not been predicted in the physics literatur
 e.  Our arguments depend on couplings of CLE with Liouville quantum gravit
 y and the integrability of Liouville conformal field theory. Based on join
 t work with Xin Sun.\n
LOCATION:https://researchseminars.org/talk/PatC/45/
END:VEVENT
END:VCALENDAR