Mounir Nisse, Université de Paris 6, France Complex and
Non-Archimedean Coamoebas Abstract Amoebas (resp. Coamoebas) are the link between the classical complex
geometry and the tropical (resp. complex tropical)
geometry. I will start by briefly introducing these objects in the complex
algebraic hypersurfaces cases. The purpose of my talk will be to explain the
relation between complex and non-Archimedean coamoebas
on one hand, and However, the same circle of ideas used on
amoebas, also shows that the coamoebas have a
similar geometric and combinatorial structure. Application for n = 2 will be outlined. Many examples,
with pictures, will be given. |