Séminaires : Séminaire d'Algèbres d'Opérateurs

Equipe(s) : ao,
Responsables :François Le Maître et Romain Tessera
Email des responsables :
Salle : 2015
Adresse :Sophie Germain
Description

Orateur(s) Wolgang Lück - Hausdorff Research Institute for Mathematics,
Titre The Farrell-Jones Conjecture and its application
Date23/03/2017
Horaire11:00 à 12:00
RésumeWe give an introduction to the Farrell-Jones Conjecture which aims at the algebraic K- and L-theory of group rings. It is analogous to the Baum-Connes Conjecture about the topological K-theory of reduced group C^*-algebras. We report on the substantial progress about the Farrell-Jones Conjecture which was made in the last years, it is meanwhile known for
hyperbolic groups, CAT(0)-groups, S-arithmetic groups and lattices in almost connected Lie groups. We give a survey on its applications, for instance to the Novikov Conjecture, the Borel Conjecture and the classification of hyperbolic groups with a sphere of dimension greater or equal to five as boundary.
Salle2015
AdresseSophie Germain
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