Séminaire de Physique ThéoriqueThe Isomonodromy Method for Black Hole Scattering
Bruno Carneiro da Cunha (Universidade Federal do Rio Grande do Sul, Brésil)
Thursday 23 March 2017 11:00 - Tours - Salle 1180 (Bât E2)
Many problems and physics can be phrased in terms of the connection problem of the solutions of (ordinary) differential equations. This is, in turn, related to the Riemann-Hilbert problem, which displays an interesting set of symmetries encoded by the Schlesinger equations and is intimately related to the theory of Painlevé transcendents. I will review the recent efforts by myself and collaborators to apply these techniques to extract analytical solutions to the scattering coefficients for a number of black hole backgrounds, including Kerr-Newman and Kerr-AdS.