Séminaires : Séminaire de Topologie

Equipe(s) : tga,
Responsables :Catherine Gille et Najib Idrissi
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Salle : 1016
Adresse :Sophie Germain
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Orateur(s) Noémie Combe - Université d'Aix-Marseille,
Titre A’Campo’s forests for the space of complex polynomials
Date21/03/2017
Horaire11:00 à 12:00
RésumeA new cellulation for the space of complex polynomials P is given. Each polynomial is characterized by A’Campo's ``geometric pictures’’ which are bi-colored planar graphs. These A’Campo forests provide a semi-algebraic stratification for the space. The strata are contractible by Riemann's theorem on the conformal structure of S².
Using Lojasiewicz's triangulation, we provide a new cell decomposition. From this cell decomposition follows the cohomology groups for the space of polynomials.
This approach is reminiscent of the Grothendieck ``dessin d'enfants'', but is far from the construction of Grothendieck, Penner and Shabat-Voevodsky, concerning only polynomials having two critical values.
Salle1016
AdresseSophie Germain
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