Patients with adenocarcinoma or squamous cell carcinoma of the cervix, FIGO Stage IB2-IB3 node positive or Stage IIB-IVA will be randomized to conventional cisplatin-based chemo-radiation or to 4 cycles of induction immunotherapy with nivolumab 1mg/kg and ipilimumab 3mg/kg every 3 weeks, followed by cisplatin chemo-radiation with concurrent nivolumab 240mg every 2 weeks. Primary outcome will be 3-year progression-free survival.