Fast radio bursts (FRBs) were discovered only in 2007. However, the number of
known events and sources of repeating bursts grows very rapidly. In the near
future the number of events will be ≳104 and the number of repeaters
≳100. Presently, there is a consensus that most of the sources of FRBs
might be neutron stars (NSs) with large magnetic fields. These objects might
have different origin as suggested by studies of their host galaxies which
represent a very diverse sample: from regions of very active star formation to
old globular clusters. Thus, in the following decade we expect to have a very
large sample of events directly related to extragalactic magnetars of different
origin. This might open new possibilities to probe various aspects of NS
physics. In the review we briefly discuss the main directions of such future
studies and summarize our present knowledge about FRBs and their sources.Comment: 21 pages, submitted to Particles, special issue "The Modern Physics
of Compact Stars and Relativistic Gravity