nodo  UVA ES
Our different goals and scientific interests are interlinked and form a nucleus around the geometric study singularities of varieties, dynamical systems and differential equations. It is divided into the following sections (the usual techniques in brackets):
  1. Reduction of singularities and applications (Algebraic and Analytic Geometry Complex).
  2. Existence and explicit construction of solutions of differential equations ordinary and partial differential (Newton polygon and polyhedron).
  3. Asymptotic expansion in several variables and functions of Gevrey type. Nature of solutions (summability, asymptotic analysis and functional).
  4. Galois theory of differential equations (differential algebra).
  5. Geometric study of singularities of vector fields (differential equations, real analytic geometry).
  6. Topological classification of vector fields in dimension three. (Hartman-Grobman, explosions)
  7. Singular Holomorphic Foliations, local and global study. (Complex geometry, reduction of singularities, holonomy).
  8. Dynamics associated with holomorphic diffeomorphisms in several variables. (Summability, resurgence, normal forms).
 Clementa Alonso González
 Felipe Cano Torres
 Jose María Cano Torres
 Sergio Alejandro Carrillo Torres
 Nuria Corral Pérez
 Alberto Lastra Sedano
 Lorena López Hernanz
 Beatriz Molina Samper
 Jorge Mozo Fernández
 Javier Sanz Gil
 Fernando Sanz Sánchez
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logo Universidad Nacional de Colombia