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Integrable Structures in Statistical and Field Models

Seminar of Laboratory ¹5 

February 6 (Thursday), 14:00, IITP RAS, room 615

Nikolay Iorgov

Isomonodromic Tau-Functions from Liouville Conformal Blocks

It will be shown that the Riemann-Hilbert problem to find multivalued analytic functions with SL(2,C) -valued monodromy on Riemann surfaces of genus zero with n punctures can be solved by taking suitable linear combinations of the conformal blocks of Liouville theory at c = 1 . This implies a similar representation for the isomonodromic tau-function.
 The talk is based on the paper arXiv:1401.6104

 

page of seminar

05.02.2014 |
 

 

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