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High-energy gamma rays are promising tools to constrain or reveal the natureof dark matter, in particular Weakly Interacting Massive Particles. Being wellinto its pre-construction phase, the Cherenkov Telescope Array (CTA) will soonprobe the sky in the 20 GeV - 300 TeV energy range. Thanks to its improvedenergy and angular resolutions as well as significantly larger effective areawhen compared to the current generation of Cherenkov telescopes, CTA isexpected to probe heavier dark matter, with unprecedented sensitivity, reachingthe thermal annihilation cross-section at ~1 TeV.  This talk will summarise the planned dark matter search strategies with CTA,focusing on the signal from the Galactic centre. As observed with the Fermi LATat lower energies, this region is rather complex and CTA will be the firstground-based observatory sensitive to the large scale diffuse astrophysicalemission from that region. We report on the collaboration effort to study theimpact of such extended astrophysical backgrounds on the dark matter search,based on Fermi-LAT data in order to guide our observational strategies, takinginto account various sources of systematic uncertainty.

Sensitivity of the Cherenkov Telescope Array to a dark matter signal from the Galactic centre