Jean Pierre Magnot, A zoo of well posed generalized KP hierarchies and Zakharov Shabat equations

JeanPierre Magnot from LAREMA, Angers and Lycee Jeanne dArc, ClermontFerrand. Here are the title and the abstract of his talk: Title: A zoo of wellposed generalized KadomtsevPetviashvili hierarchies and their (t2, t3)ZakharovShabat equations Abstract: We first give in this exposition a summary of the techniques that actually prove wellposedness of the KadomtsevPetviahvili hierarchy understood as a system on an algebra of formal pseudodifferential operators with coefficients in a diffeological algebra. In a second part of this paper, we propose a guided tour of the multiple algebras to which this result can be applied, examining which PDEs can be derived from the KadomtsevPetviashvili hierarchy through the (t2, t3)ZakharovShabat zero curvature equation. This talk is based on recent works with E. G. Reyes and V. Rubtsov.