QUBIC (Q&U Bolometric Interferometer for Cosmology) is a cosmology experiment for studying cosmic inflation by measuring the B-modes of the polarization of the Cosmic Microwave Background (CMB). It uses bolometric interferometry, which combines the advantages of interferometry (reduction of systematic errors) with those of the bolometer detectors (high signal sensitivity). QUBIC will observe the sky at two frequencies, 150 and 220 GHz, so that it can separate the cosmological signal from the foreground emission, in particular thermal dust emission. A first module will be installed in Argentina in the region of Alto Chorrillos next to the Large Latin American Millimeter Array (an Argentinian-Brazilian sub-mm telescope for interferometry with ALMA). In this talk I will review the project, its technology, and its scientific goals.