Resumen de Identifiability, stability and reconstruction results of point sources by boundary measurements in heteregeneous trees

Serge Nicaise, Ouahiba Zaïr

• One has two notions of vanishing cycles: the Deligne's general notion and a concrete one used recently in the study of polynomial functions. We compare these two notions which gives us in particular a relative connectivity result. We finish with an example of vanishing cycle calculation which shows the difficulty of a good choice of compactification.