Séminaires : Séminaire Analyse Algébrique

Equipe(s) : aa,
Responsables :J. Grivaux, M. Robalo, P.Schapira, JB Teyssier
Email des responsables : mrobalo@imj-prg.fr
Salle : 1525-502
Adresse :Jussieu

Plus ou moins un lundi par mois ; salle de Séminaire 502, Couloir 15-25, 5ème étage (Jussieu)


Orateur(s) Marco Volpe - University of Regensburg,
Titre Six functor formalism with non-presentable coefficients
Horaire16:00 à 17:00
RésumeThe six functor formalism over locally compact Hausdorff spaces was developed by Masaki Kashiwara and Pierre Schapira in the book "Sheaves on Manifolds": this is done in the context of derived categories of sheaves of R-modules, with R a ring. In this talk I will show that one can extend the whole formalism to non-necessarily hypercomplete sheaves with values in any stable bicomplete ∞-category equipped with a closed symmetric monoidal structure. At the end I will show how being able to work at this level of generality allows one to prove that, if f is a map which induces a locally contractible geometric morphism, then the exceptional pullack along f satisfies a formula which was previously known to hold only for topological submersions.