Proceedings of the International Congress of Mathematicians
Madrid, August 22–30, 2006

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pp: 1183–1211

DOI: 10.4171/022-2/56

An invitation to bounded cohomology

Nicolas Monod[1]

(1) Ecole Polytechnique Fédérale de Lausanne, Switzerland

A selection of aspects of the theory of bounded cohomology is presented. The emphasis is on questions motivating the use of that theory as well as on some concrete issues suggested by its study. Specific topics include rigidity, bounds on characteristic classes, quasification, orbit equivalence, amenability.

Keywords: Bounded cohomology