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Seminar of Laboratory 5 IITP RAS "Integrable structures in statistical and field models"
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Isomonodromic Tau-Functions from Liouville Conformal Blocks N. Z. Iorgov |
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Abstract: 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 |
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