Workshop

As part of the Spring 2001 program on Spectral Invariants, MSRI will host a one-week workshop on Geometric Scatttering Theory and Elliptic Theory on Noncompact and Singular Spaces. This workshop will focus on problems of a scattering theoretic nature for geometric operators on manifolds with asymptotically regular geometries, and also on spectral theory and related questions of invertibility of such operators on singular spaces. The emphasis will be on the consideration of new problems and the dissemination of new techniques. Topics will include: scattering theory on manifolds with geometric structure at infinity scattering theory in the presence of stratified media propagation of singularities for solutions of the wave equation on the complement of obstacles with singularities the asymptotic distribution of resonances, and connections with the geometry at infinity L^2 and Hodge cohomology for complete and singular spaces index and elliptic theory on manifolds with corners and on stratified spaces index theory for non-classically elliptic operators, e.g. sub-elliptic operators in the Heisenberg calculus index theory for Fourier integral operators behaviour of global spectral-theoretic invariants under various types of geometric degeneration nonlinear elliptic asymptotic boundary problems FUNDING APPLICATION DEADLINE: March 26, 2001