Annuaire
Webmail
Intranet
The homotopy exact sequence for the log algebraic fundamental group
Jeudi, 24 Mars, 2016 - 10:30
Résumé :
The classical Riemann-Hilbert correspondence relates the fundamental group of a complex analytic variety and the differential equations we can define on it. The definition of the fundamental group given in terms of homotopy classes of loops does not generalize easily to algebraic varieties defined over an arbitrary field. But exploiting this link we can give another definition that makes sense in very general contexts: it is called the algebraic fundamental group. We prove the homotopy exact sequence for the algebraic fundamental group for a fibration with singularities with normal crossings, result of a collaboration with A. Shiho. We explain how via this exact sequence we can define monodromy action: if time permits we present also a work in progress with B. Chiarellotto and A. Shiho in which we study deeply this action.
Institution de l'orateur :
Freie Universität, Berlin
Thème de recherche :
Théorie des nombres
Salle :
04
