Andrew du PLESSIS – Flexes, flex equivalence and unfolding

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Date(s) - 8 octobre 2015

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Recent work on flexes of curves has given rise to satisfactory notions of equivalence for germs of curves which also take into account tangential singularities e.g. in the sense of points of inflexion.These forms of equivalence do not, however, seem to lead to a satisfactory unfolding theory. I will propose an alternative, flex equivalence, which does yield an unfolding theory, complete with versal and stable unfoldings ; and I will discuss its relationship with the approaches mentioned above. Andrew du PLESSIS [