Speaker Velichka Milousheva from Institute of Mathematics and Informatics, Sofia, Bulgaria

Abstract  The concept of marginally trapped surfaces was first introduced by Sir Roger Penrose in 1965 in connection with his study on black holes, which is closely related to the Einstein theory of relativity. A codimension-two surface in the Lorentz-Minkowski 4-space is called marginally trapped it its mean curvature vector is lightlike at each point.  In pseudo-Euclidean geometry, the analogue of marginally trapped surfaces are the so-called quasi-minimal surfaces. In the present talk, we give some recent classification results on marginally trapped surfaces and present the Fundamental existence and uniqueness theorem for quasi-minimal Lorentz surfaces in the pseudo-Euclidean 4-space with neutral metric.

Graduate students are encouraged to attend.