Simplicial volume of closed locally symmetric spaces of non-compact type

Abstract

We show that compact, locally symmetric spaces of non-compact type have positive simplicial volume. This gives a positive answer to a question that was first raised by Gromov in 1982. We provide a summary of results that are known to follow from positivity of the simplicial volume.

15 pages; minor typos corrected, typesetting changes, some references added

References in corpus (1)

• The Proportionality Principle of Simplicial Volume

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