Monod, Nicolas An invitation to bounded cohomology. (English) Zbl 1127.55002 Sanz-Solé, Marta (ed.) et al., Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume II: Invited lectures. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-022-7/hbk). 1183-1211 (2006). This paper explores the theory of bounded cohomology. After giving preliminary informations, many problems on the theory are stated. The topics covered may be summarized as: characteristic classes, quasifications, amenability, rigidity, randomorphisms and orbit equivalence.For the entire collection see [Zbl 1095.00005]. Reviewer: Mustafa Korkmaz (Ankara) Cited in 2 ReviewsCited in 32 Documents MSC: 55N99 Homology and cohomology theories in algebraic topology 20F65 Geometric group theory Keywords:Bounded Cohomology; Rigidity; Amenability; Randomorphism PDFBibTeX XMLCite \textit{N. Monod}, in: Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22--30, 2006. Volume II: Invited lectures. Zürich: European Mathematical Society (EMS). 1183--1211 (2006; Zbl 1127.55002)