Andrea Seppi (Grenoble) will speak in the geometry seminar at 2pm on 18/04/2023 in the Salle des Profs (9th floor, building NO, Campus de la Plaine). Andrea’s title is “Maximal submanifolds in pseudo-hyperbolic space and applications” and his abstract is below.
The Asymptotic Plateau Problem is the problem of existence of submanifolds of vanishing mean curvature with prescribed boundary “at infinity”. It has been studied in the hyperbolic space, in the Anti-de Sitter space, and in several other contexts. In this talk, I will present the solution of the APP for complete spacelike maximal p-dimensional submanifolds in the pseudo-hyperbolic space of signature (p,q). In the second part of the talk, I will discuss applications of this result in Teichmüller theory and for the study of Anosov representations. This is joint work with Graham Smith and Jérémy Toulisse.