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Most of the action in Active Galactic Nuclei (AGN) occurs within a few tensof gravitational radii from the supermassive black hole, where matter in theaccretion disk may lose up to almost half of its energy with a copiousproduction of X-rays, emitted via Comptonization of the disk photons by hotelectrons in a corona and partly reflected by the accretion disk. Thanks to itslarge effective area and excellent energy resolution, Athena+ contributions inthe understanding of the physics of accretion in AGN will be fundamental - andunique - in many respects. It will allow us to map the disk-corona system -which is crucial to understand the mechanism of energy extraction and therelation of the corona with winds and jets - by studying the time lags betweenreflected and primary photons. These lags have been recently discovered byXMM-Newton, but only Athena+ will have the sensitivity required to fullyexploit this technique. Athena+ will also be able e.g. to determine robustlythe spin of the black hole in nearby sources (and to extend these measurementsbeyond the local Universe), to establish the nature of the soft X-raycomponents, and to map the circumnuclear matter within the AGN inner parsecwith unprecedented details.

The Hot and Energetic Universe: The close environments of supermassive black holes