Speaker
Victor Eduardo Chavez-Heredia
(SISSA/ University of Bristol)
Description
An intriguing conjecture by Shapiro and Tater (2014) relates symptotically the poles of algebraic solutions of Painlevé 2 and the degenerate spectrum of an eigenvalue problem for a 2nd oder ODE with quartic potential. In this talk we discuss the link between the Shapiro-Tater conjecture and the isomonodromic formulation of P2 and our work towards proving the conjecture using the exact WKB method. This talk is based on ongoing research.
Primary author
Victor Eduardo Chavez-Heredia
(SISSA/ University of Bristol)