Tropical geometry and singularities

Resumen:

Tropical geometry is a relatively new subject that has received a lot of attention from the mathematical community in the last ten years. In Cuernavaca there is a small research team working in this area. In the course we will introduce the basic concepts of Tropical Goemetry: Newton polygon, polyhedral subdivision, tropical modifications, Groebner fan, and give some applications in singularity theory: Parametrizations of analytic spaces, inflexion points, Newton non­degenerate singularities.

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