Séminaire de Mathématique

A Conjectural Reciprocity Law for Realizations of Motives

by Dustin Clausen (IHES)

Centre de conférences Marilyn et James Simons (IHES)

Centre de conférences Marilyn et James Simons


Le Bois Marie 35, route de Chartres 91440 Bures-sur-Yvette

A motive over a scheme S is a bit of linear algebra which is supposed to "universally" capture the cohomology of smooth proper S-schemes.  Motives can be studied via various "realizations", which are objects of more concrete linear algebraic categories attached to S.  It is known that over certain S, these different realizations are related to one another via comparison isomorphisms, as in Hodge theory.  In this talk, I will try to explain that for completely general S, there is a much more subtle kind of relationship between these realizations, which takes a similar form to classical reciprocity laws in number theory.


Pour être informé des prochains séminaires vous pouvez vous abonner à la liste de diffusion en écrivant un mail à sympa@listes.math.cnrs.fr avec comme sujet: "subscribe seminaire_mathematique PRENOM NOM"
(indiquez vos propres prénom et nom) et laissez le corps du message vide.


Organized by

Ahmed Abbes