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Date: 17 October, 2025 Speaker: Prof. Bruce Allen It seems likely that our universe contains a stochastic background of gravitational waves (GW), in some ways similar to the electromagnetic cosmic background radiation. In some frequency bands this background is probably dominated by GW emission from "astrophysical" sources such as unresolved compact binary stars. In other frequency bands this GW background may be dominated by cosmological processes. I discuss the general properties of this GW background, and prospects for its detection and characterization at different frequencies. I also review recent progress in the nano-Hz frequency band, using galactic-scale detectors called pulsar timing arrays. These have much in common with ground- and space-based detectors like LIGO and LISA, but also have some unique features.