Resurgence Matches Isomonodromy: Painlevé Equations and 2 Dimensional Quantum (Super)Gravity

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• Roberto Vega (Instituto Superior Técnico, Lisboa)
• Thursday 15 September 2022, 11:30-12:30
• No Room Required.

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

In this talk we will describe the connection formulae constructed from the non-linear Stokes data associated to the resurgent two-parameter transseries of the Painlevé I and II equations. We will discuss the monodromy orbits and how these transition functions agree with those inherited from the isomonodromy method. We will further discuss preliminary results on the case of the inhomogeneous and deformed Painlevé II equations.

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

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