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The new century has brought two fundamental advances in astrophysics that are 
the discoveries of the accelerated expansion of the Universe with type Ia 
supernovae, as well as of the flatness of the Universe with the analysis of the 
angular fluctuations of the cosmic microwave background. These two discoveries, 
together with old results on the internal kinematics of structures and new 
results on the statistics of the large-scale distribution and kinematics of 
galaxies and weak gravitational lensing effects on galaxy shapes have enabled 
cosmologists to converge towards a concordance model, called ΛCDM, which 
describes with surprising success the large-scale properties of the Universe. 
However, the ΛCDM Universe is mainly built upon two entities of which we do not 
know the physical nature: dark matter and dark energy. Moreover, there seems to 
be significant discrepancies with several smaller-scale observations: in 
particular, in comparison to observational data, structures arising in very 
large N-body simulations of the ΛCDM Universe appear to be too cuspy in their 
centres and contain too many sub-structures. These difficulties have generated a 
lot of interest in theories that modify the behaviour of gravity on large scales, 
e.g. MOND is able to explain with remarkable success the majority of 
observational constraints on mass profiles, without recourse to any dark matter. 
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