Jérémy Toulisse (Nice) will speak in the differential geometry seminar on Monday 23rd September. The talk will take place at 2pm in the Salle des Profs (9th floor of building NO, Campus de la Plaine). Jérérmy’s title is “Plateau problem in the pseudo-hyperbolic space” and his abstract is below.
The pseudo-hyperbolic space H^{2,n} is the pseudo-Riemannian analogue of the classical hyperbolic space. In this talk, I will explain how to solve an asymptotic Plateau problem in this space: given a topological circle in the boundary at infinity of H^{2,n}, we construct a unique complete maximal surface bounded by this circle. This construction relies on Gromov’s theory of pseudo-holomorphic curves. This is a joint work with François Labourie and Mike Wolf.