On the stable homology of orthogonal groups over nite elds with twisted coe cients

The geometric Satake correspondence is an equivalence between the category of finite di- mensional representations of the Langlands dual G ˆ of a complex connected reductive

On the adjoint representation of orthogonal free quantum groups.. Roland Vergnioux joint work with

The conditionnaly negative type function associated to c X is the one associated to Brannan’s deformation. In particular the cocycle arising from Brannan’s deformation can be

In the case of “well-generated groups” we use our criterion for regularity which is couched in terms of the ε ι to produce a twisted analogue of Coxeter elements of a real

As an application, we also compute the rational stable homology of the outer automorphism groups and of the mapping class groups of the associated aspherical nil-manifolds in the

Le problème de la stabilité homologique pour les groupes discrets fut d'abord étudié pour les seuls coecients constants (l'un des cas les plus considérés, celui des groupes

This is made by using general properties of Segal’s machinery [14] associating a spectrum to each symmetric monoidal category, and Galatius theorem [7] showing that the

In [DV10] we develop a general method to compute stable homology of families of groups with twisted coefficients given by a reduced covariant polynomial functor.. Not only can we