Christophe Eyral Title: Non-compact Newton boundary and Whitney equisingularity for non-isolated singularities Abstract: A theorem of J. Briançon asserts that if {f_t} is a family of isolated complex hypersurface singularities such that the Newton boundary of f_t is independent of t and f_t is non-degenerate, then the corresponding family of hypersurfaces {V(f_t)} (where V(f_t) is the zero set of f_t) is Whitney equisingular, and therefore topologically equisingular. In this talk, I will present a generalization of Briançon's theorem to families of non-isolated singularities. This is a joint work with M. Oka.