Since their introduction by Gromov in the 1980s, the study of
bounded cohomology and simplicial volume has developed into an
active field connected to geometry and group theory. This
monograph, arising from a learning seminar for young researchers
working in the area, provides a collection of different
perspectives on the subject, both classical and recent. The book's
introduction presents the main definitions of the theories of
bounded cohomology and simplicial volume, outlines their history,
and explains their principal motivations and applications.
Individual chapters then present different aspects of the theory,
with a focus on examples. Detailed references to foundational
papers and the latest research are given for readers wishing to dig
deeper. The prerequisites are only basic knowledge of classical
algebraic topology and of group theory, and the presentations are
gentle and informal in order to be accessible to beginning graduate
students wanting to enter this lively and topical field.
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