Séminaires : Séminaire de géométrie algébrique

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Le jeudi à 14h.
septembre-décembre Sophie-Germain, janvier-mars ENS, avril-juin Jussieu

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Orateur(s) Matthew Baker - ,
Titre Band schemes and moduli spaces of matroids
Horaire14:00 à 15:00

Abstract: We introduce a generalization of commutative rings called bands, along with the corresponding geometric theory of band schemes. Among other things, band schemes provide a new viewpoint on tropical geometry and Berkovich analytifications, and they enable a partial explanation for phenomena observed by Jacques Tits concerning algebraic groups over the "field of one element". Band schemes also furnish a natural algebro-geometric setting for studying matroid theory; in particular, they allow us to construct a moduli space of matroids, and they provide new tools for studying realization spaces of matroids. If time permits, we will discuss applications to a generalization of Laurent Lafforgue's theorem on realization spaces of rigid matroids. This is joint work with Oliver Lorscheid and Tong Jin.

SalleSophie Germain 1016
AdresseSophie Germain