On two-parameter instanton-type solutions of Painlev\'e equations and their analytic interpretation --- A review of the exact WKB analysis for Painlev\'e equations

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• Yoshitsugu Takei (Doshisha University)
• Monday 12 September 2022, 11:30-12:30
• No Room Required.

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AR2W01 - Physical resurgence: On quantum, gauge, and stringy

Two-parameter instanton-type solutions are formal solutions of Painlev\’e equations with a large parameter. They play a crucially important role in describing the Stokes phenomena for Painlev\’e equations and formal equivalence between general Painlev\’e equations and the first Painlev\’e equation at a simple turning point. In this talk I would like to review the construction and relevant properties of instanton-type solutions and discuss their analytic interpretation.

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

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