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

Jean-Pierre Magnot from LAREMA, Angers and Lycee Jeanne d’Arc, Clermont-Ferrand. Here are the title and the abstract of his talk: ====================================================== Title: A zoo of well-posed generalized Kadomtsev-Petviashvili hierarchies and their $(t_2,t_3)$-Zakharov-Shabat equations Abstract: We first give in this exposition a summary of the techniques that actually prove well-posedness of the Kadomtsev-Petviahvili hierarchy understood as a system on an algebra of formal pseudo-differential 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 Kadomtsev-Petviashvili hierarchy through the $(t_2,t_3)-$Zakharov-Shabat zero curvature equation. This talk is based on recent works with E.G. Reyes and .