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Geometric Methods on Singular Spaces versus Microlocal Analysis

Lagrangian distributions on asymptotically Euclidean manifolds

speaker: Sandro Coriasco (Università di Torino)

abstract: Starting from a class of tempered oscillatory integrals, we develop the notion of Lagrangian distribution u ∈ I^{m,μ}(X,Λ), (m,μ) ∈ R^2, on a scattering manifold X, that is, on its compactified cotangent bundle. The latter is a manifold with corners, equipped with a suitable scattering symplectic structure, which allows to define Lagrangian submanifolds Λ at infinity. In particular, we will illustrate the notion of principal symbol of the elements of the class of distributions I^{m,μ}(X, Λ), (m, μ) ∈ R^2. The talk is based on joint works with R. Schulz and M. Doll.

timetable:
Sat 3 Nov, 15:00 - 16:00, Sala Conferenze Centro De Giorgi
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