Felipe Cano:
Valoraciones y sistemas din amicos. Dynamical systems and valuations.
Abstract: I would like to give some of the applications of the valuation theory in the study of
dynamicas systems, focusing on the asymptotic expansions and in the Local Uniformization of Zariski,
as well as in the relationship with trajectories of real vector elds. I will also present a birational
result of reduction of singularities for vector elds in dimension three that gives another point of view
to the huge Panazzolo's work on the subject, recently generalized by Mc Quillan and Panazzolo.
Congreso:
Algebraic Methods in Geometry: Commutative and Homological Algebra in Foliations and Singularities.
School and Conference in honour of Xavier Gómez-Mont on the occasion of his 60th Birthday.
CIMAT, Guanajuato (México).