Otoniel Nogueira da Silva ( Instituto de Matemáticas de Cuernavaca, México.)

Friday, September 20th, Room 4-111 , at 4:00 p.m.

**Title : The Whitney cones and bi- Lipschitz equivalence of space curves.**

**Abstract:** In 1965, Whitney introduced some spaces that are now known in the literature

as ”Whitney’s cones”. These cones have proven to be very useful for singularity

theory. For instance, Stutz found conditions for a family of germs of complex

analytic sets to be equisingular in terms of the dimensions of some Whitney’s

cones. In this talk, we will talk about the Whitney’s cones of a curve and its

relation with the Lipschitz geometry of space curves.