Thermonuclear ignition of an inertially confined deuterium-tritium mixture requires the creation of a "hot spot" with sufficiently high temperature, pressure and confinement parameter. In the standard ICF scheme such a hot spot is generated as a result of a high-velocity, directly- or indirectly-driven implosion. In this talk, I will first briefly review ignition requirements, outlining the conflicting requirements of high implosion velocity, implosion stability and implosion symmetry. I will then briefly discuss current achievements and present my personal view on the future of ICF research, and possible paths to ignition. Conventional indirect-drive and direct-drive schemes, as well as the alternative shock ignition scheme will be considered.
Work supported by the Italian projects MIUR PRIN2012AY5LEL, Sapienza C26A15YTMA, and Sapienza Progetti Medi 2015 2016 (proposal n. 257584).