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UID:20251104T143511EST-17678boUpZ@132.216.98.100
DTSTAMP:20251104T193511Z
DESCRIPTION:Isomonodromic Conformal Field Theory on the Torus\nAbstract: In
  the last few years\, following the original spirit of the works on Holono
 mic Quantum Fields by Jimbo\, Miwa and Sato\, a new approach for the solut
 ion of a Riemann-Hilbert problem and its isomonodromic deformations has be
 en proposed by Lisovyy et al\, employing tools from two dimensional Confor
 mal Field Theory and results from localization computation of partition fu
 nctions in the context of supersymmetric gauge theories. In this talk the 
 extension of these results to the case of the torus with Fuchsian singular
 ities will be presented\, providing a Conformal Field Theory expression of
  the solution to the corresponding linear system on the torus and of the t
 au function generating isomonodromic Hamiltonians\, together with the iden
 tification of these quantities with objects in an appropriate four-dimensi
 onal supersymmetric gauge theory.In the last few years\, following the ori
 ginal spirit of the works on Holonomic Quantum Fields by Jimbo\, Miwa and 
 Sato\, a new approach for the solution of a Riemann-Hilbert problem and it
 s isomonodromic deformations has been proposed by Lisovyy et al\, employin
 g tools from two dimensional Conformal Field Theory and results from local
 ization computation of partition functions in the context of supersymmetri
 c gauge theories. In this talk the extension of these results to the case 
 of the torus with Fuchsian singularities will be presented\, providing a C
 onformal Field Theory expression of the solution to the corresponding line
 ar system on the torus and of the tau function generating isomonodromic Ha
 miltonians\, together with the identification of these quantities with obj
 ects in an appropriate four-dimensional supersymmetric gauge theory.
DTSTART:20181127T203000Z
DTEND:20181127T213000Z
LOCATION:Pavillon André-Aisenstadt\,  salle 4336\, CA\, QC\, Montreal\, H3T
  1N8\, CRM\, Universite de Montreal\, 2920\, ch. de la Tour
SUMMARY:Fabrizio Del Monte\, SISSA\, Italie
URL:/mathstat/channels/event/fabrizio-del-monte-sissa-
 italie-292014
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