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Painlevé functions, accessory parameters and conformal blocks

Presented by: 
Oleg Lisovyy
Monday 28th October 2019 - 14:00 to 14:30
INI Seminar Room 1
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.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons