Sesión número 97 del Seminario Iberoamericano de Matemáticas (SIM97)

Lugar: Casas del Tratado en Tordesillas, sede del Centro Tordesillas de Relaciones con Iberoamérica y Portugal.

Fecha: Jueves, 16 de Febrero de 2017.

PROGRAMA:

17:00 Jean-François Mattei (Universidad Paul Sabatier)

Titulo: "El problema de módulos para gérmenes de foliaciones holomorfas"

18:30 Javier Ribón (Universidad Federal Fluminense, UFF)

Título: "Intersections in holomorphic dynamical systems"

Resumen: Let us move a curve containing the origin by the action of a group of origin-preserving biholomorphisms of the plane. We want to characterized the groups such that the set of Milnor numbers, describing the tangency of the iterates of a first given curve with a second fixed curve, is always bounded for any choice of pair of curves. Generalizations of this property in higher dimension are straightforward to define. It is well-known that such a property holds for cyclic groups and has been generalized to other classes of groups by Seigal-Yakovenko, Binyamini and myself. It remains open to know whether it is possible to characterize the groups that hold this uniform intersection property. We will provide a solution of this problem in dimension two.