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Painlevé functions, accessory parameters and conformal blocks

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CATW02 - Complex analysis in mathematical physics and applications

We will consider three a priori different types of special functions : (i) tau functions of Painlevé equations (ii) accessory parameters in linear differential equations of Heun’s type and (iii) conformal blocks of the Virasoro algebra. I wil discuss surprising (and for the most part conjectural) relations between these functions coming from the 2D conformal field theory.

This talk is part of the Isaac Newton Institute Seminar Series series.

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