The 7th Seasonal Institute of the Mathematical Society of Japan (MSJ-SI meeting) under the title Hyperbolic geometry and geometric group theory was held from 30 July to 5 August 2014 at the University of Tokyo. This volume is the proceedings of the meeting, and collects survey and research articles in this fast-growing field by international specialists. Recommended for researchers and graduate students interested in hyperbolic geometry, geometric group theory, and low-dimensional topology.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America