BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:A hidden quantum group for pure partition functions of multiple SL
 Es - Kytl\, K (Aalto University)
DTSTART:20150421T103000Z
DTEND:20150421T113000Z
UID:TALK59147@talks.cam.ac.uk
CONTACT:42080
DESCRIPTION:Co-author: Eveliina Peltola (University of Helsinki) \n\nA cla
 ssification result of Schramm identifies the candidates for scaling limit 
 random curves in critical planar models by their conformal invariance and 
 domain Markov property: in simply connected domains with curves connecting
  two boundary points the curves are chordal SLEs. The classification of co
 rresponding multiple curves is more involved\, due to the presence of nont
 rivial conformal moduli: instead of a unique law of a curve\, there is a f
 inite dimensional convex set of laws consistent with the requirements. The
  growth process construction of multiple SLE curves relies on partition fu
 nctions\, which must solve a system of partial differential equations. We 
 present a method based on the representation theory of a quantum group\, w
 ith help of which we explicitly construct a basis of solutions to the part
 ial differential equations corresponding to the extremal points of the con
 vex set.\n\n
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR