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It is our great pleasure and honor to invite you to participate in the APCTP School/Workshop on Gravitational-Wave Cosmology which will be held on November 30 to December 4, 2019 in Taipei, Taiwan. The school/workshop is an event of the APCTP cooperative external activity program. The school/workshop will concentrate on gravitational waves generated from inflation and other cosmological processes, as well as from compact binary mergers, and on their potential detections in cosmic microwave background B-polarization experiments and ground-based/space-borne gravity-wave detectors, as well as using gravitational-wave sources to do cosmological measurements. The main purpose of the school/workshop is to provide a good opportunity for young scientists, master and PhD students coming from universities and institutes in the Asia-Pacific region to develop regional exchange activities, mutual understanding and cooperation, as well as stimulate scientific training and education. The school/workshop will support students- travel expenses. Cosmological perturbations in inflation and expanding universe Astrophysical and cosmological gravity-wave sources Black-hole and neutron-star mergers Primordial black holes Detection of gravitational waves and data pipeline Standard sirens and the latest results from LIGO-Virgo Tests of gravity and constraints on modified theories of gravity Cosmic microwave background B-mode polarization