Includes bibliographical references and index.

Stein manifolds and multiplicityfree representations of compact Lie groups ; Jang's equation and its applications to marginally trapped surfaces ; The stationary ody problem in general relativity ; Shock reflectiondiffraction and nonlinear partial differential equations of mixed type ; An existence theorem for the Cauchy problem on a characteristic cone for the Einstein equations ; Construction of ody timesymmetric initial data sets in general relativity ; Asymptotic gluing of asymptotically hyperbolic vacuum initial data sets ; Analytic form of the PontrjaginHopf invariants ; The Dirichlet to Neumann operator for nonlinear elliptic equations ; KramersWannier duality for nonabelian lattice spin systems and Hecke surfaces ; Exponential estimates of solutions of pseudodifferential equations with operatorvalued symbols: Applications to Schrodinger operators with operatorvalued potentials ; Scalar curvature, isoperimetric collapse and general relativity in the constant mean curvature gauge ; Rates of decay for structural damped models with coefficients strictly increasing in time ; Curvature based triangulation of metric measure spaces ; Black hole initial data with a horizon of prescribed intrinsic and extrinsic geometry ; On the global geometry of spacetimes with toroidal or hyperbolic symmetry ; A black hole with no marginally trapped tube asymptotic to its event horizon ; Discrete convolution operators in positive characteristic: A variation on the FloquetBloch theory Dmitri Akhiezer ; Lars Andersson Michael Eichmair and Jan Metzger ; Robert Beig ; GuiQiang G Chen and Mikhail Feldman ; Y ChoquetBruhat Piotr T Chrusciel and Jose M MartinGarcia ; Piotr T Chrusciel Justin Corvino and James Isenberg ; James Isenberg John M Lee and Iva Stavrov Allen ; Lev Kapitanski ; Ibrahim Ly and Nikolai Tarkhanov ; Michael Monastyrsky ; V S Rabinovich and S Roch ; Martin Reiris ; Michael Reissig ; Emil Saucan ; Brian Smith ; Jacques Smulevici ; Catherine Williams ; Mikhail Zaidenberg