Geometry and Analysis on Manifolds

L2harmonic forms on complete Riemannian manifolds.- Ricci-flat Kähler metrics on affine algebraic manifolds.- On the multiplicy of the eigenvalues of the Laplacian.- Riemann surfaces of large genus and large ?1.- Cayley graphs and planar isospectral domains.- On the almost negatively curved 3-sphere.- Vanishing theorems for tensor powers of a positive vector bundle.- Decay of eigenfunctions on Riemannian manifolds.- Stability and negativity for tangent sheaves of minimal Kähler spaces.- An obstruction class and a representation of holomorphic automorphisms.- Tensorial ergodicity of geodesic flows.- Harmonic functions with growth conditions on a manifold of asymptotically nonnegative curvature I.- Density theorems for closed orbits.- L2-Index and resonances.- Approximation of Green's function in a region with many obstacles.- Lower bounds of the essential spectrum of the Laplace-Beltrami operator and its application to complex geometry.- Fundamental groups and Laplacians.