This talk is based on joint work with Kris Shaw and Arthur Renaudineau. I will present a combinatorial setup, based on smooth tropical varieties and real phase structures, which after "unfolding" produces a certain class of PL-manifolds. We have two motivations in mind: Firstly, in generalisation of Viro's combinatorial patchwoking to arbitrary codimension, the arising PL-geometries can be used to describe the topology of real algebraic varieties close to the tropical limit. Secondly, even if not "realisable" by real algebraic varieties, real phase structures provide a geometric framework for combinatorial structures such as oriented matroids.
Real algebraic varieties close to smooth tropical limits
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Nom de l'orateur
Johannes Rau
Etablissement de l'orateur
Universidad de los Andes
Date et heure de l'exposé
Lieu de l'exposé
Salle Éole