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SUMMARY:Seminar of Statistical Field Theory
DTSTART:20160315T161500
DTEND:20160315T170000
DTSTAMP:20260916T002748Z
UID:d8dbcd27554e41f9669f34f4734976d78ac3672ac1238db633beeaee
CATEGORIES:Conferences - Seminars
DESCRIPTION:Eveliina Peltola\, Helsinki University\, Finland\nSolutions to
  Benoit & Saint-Aubin PDEs via hidden quantum group symmetry\nI describe a
  method for solving Benoit & Saint-Aubin partial differential equations\, 
 that is\, PDEs which arise in conformal field theory (CFT) and in the theo
 ry of\nSchramm-Loewner evolutions (SLE). An important feature of our metho
 d is the systematic construction of solutions with boundary conditions giv
 en by\nspecified asymptotic behavior. This allows one to explicitly find p
 articular solutions\, such as conformal blocks\, multiple SLE pure partiti
 on functions\,\nand chordal SLE boundary visit (zig-zag) probability ampli
 tudes. Our method is a correspondence associating vectors in a tensor prod
 uct representation of a quantum group to Coulomb gas type integral functio
 ns\, in which properties of the functions are encoded in natural\, represe
 ntation theoretical properties of the vectors. I discuss the core idea of 
 the method and applications to SLE and CFT.\nThe talk is based on joint wo
 rk with Kalle Kytölä (Aalto University\, Espoo) and Steven Flores (Unive
 rsity of Helsinki).
LOCATION:MA B1 524 http://plan.epfl.ch/?room=MA%20B1%20524
STATUS:CONFIRMED
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