Séminaire de Physique Théorique

CFT approach to the q-Painlevé VI equation
Hajime Nagoya (Kanazawa University, Japan)
Wednesday 14 June 2017 14:00 -  Tours -  Salle 1180 (Bât E2)

Résumé :
The talk will be based on a joint paper arXiv:1706.01940 [math-ph] with M. Jimbo and H. Sakai. A q-analog of a connection between isomonodromic deformation of linear differential equations and Liouville conformal field theory at c=1 will be discussed. It will be shown that the general solution of the q-Painlevé VI equation is a ratio of four tau functions, each of which is given by a combinatorial series arising in the AGT correspondence.

Liens :