The aim of this study is to analyze the impact of the cure of hepatitis C on the HIV DNA reservoir and antiviral function of CD8+ and NK cells in a subgroup of patients receiving the latest generation DAAs for treatment of HCV infection, as part of a program for a reduction of the prevalence of chronic hepatitis C patients co-infected HIV-HCV set up within the Immuno-Hematology Service of the Sainte Marguerite Hospital (Research in routine care-Ethics committee Approval Sud- Méditerranée I ID RCB 2015-A01913-46/ Principal Investigator: Dr I Poizot-Martin).