Sep 14 – 16, 2020
SISSA
Europe/Rome timezone

Painlevé equations, anharmonic oscillators and the Shapiro-Tater conjecture

Sep 16, 2020, 12:00 PM
30m
Chairman: Simonetta Abenda

Chairman: Simonetta Abenda

Scientific Programme

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)

Presentation materials