Séminaires : Séminaire de Topologie

Equipe(s) : tga,
Responsables :Catherine Gille et Najib Idrissi
Email des responsables :
Salle : 1016
Adresse :Sophie Germain

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Orateur(s) Antonio Lerario - Lyon 1,
Titre Homology of intersections of real quadrics
Horaire11:00 à 12:00
RésumeIntersections X of real quadrics are ubiquitous objects in geometry (to mention one example: every algebraic set is homeomorphic to an intersection of quadrics).
In this talk I will present a spectral sequence that efficiently computes the homology of X in terms of the arrangement, in the space of all quadratic forms, of those defining X.
The second term of this spectral sequence and its differential have a clear geometric interpretation - they are related to the Maslov cycle and the characteristic classes of the real grassmannian.
(joint work with A. Agrachev)
AdresseSophie Germain