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Outline
The local population of supermassive black holes (SMBH)
Histories of accretion: optically selected QSO, X-ray selected AGN, X-ray backgroud
Comparing accreted BH masses with relic BH masses: limits on accretion efficiency
Problem: understanding the redshift evolution of supermassive black holes mass function (phenomenological approach, semi-analytic approach, numerical approach)
The fundamental plane of black hole activity as black holes' mass and accretion rate estimator
Yet another history of cosmic accretion up to redshift~3: new (observational) tests for structure formation theories