|Speaker:||Pierre Schapira (U of Paris VI)|
|Title:||Sheaves on Lorentzian manifolds|
|Date:||Tue, Oct 13, 2015, 13:15 - 14:45|
|Place:||Seminar Room B|
We introduce a class of causal manifolds which contains the globally hyperbolic spacetimes and we prove global propagation theorems for sheaves on such manifolds. As an application, we solve globally the Cauchy problem for hyperfunction solutions of hyperbolic systems.
Besides the classical Cauchy-Kowalevsky theorem, our proofs only use tools and ideas from the microlocal theory of sheaves of [M. Kashiwara and P. Schapira, Sheaves on Manifolds, Grundlehren der Math. Wiss. 292 Springer-Verlag (1990)], that is, tools of purely algebraic and geometric nature.