Apparaît dans la collection : Séminaire de Mathématique
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.
De Michael Harris
De Marco Robalo
![[1229] Valeurs critiques des fonctions $L$ de puissances symétriques de formes modulaire](/media/cache/video_light/uploads/video/1.png)
