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Explore the cutting-edge field of persistent nano-hertz gravitational wave astronomy in this 23-minute conference talk delivered at the International Centre for Theoretical Sciences. Delve into the theoretical foundations and observational challenges of detecting gravitational waves at extremely low frequencies, examining how persistent nano-hertz signals contribute to our understanding of cosmic phenomena. Learn about the unique characteristics of nano-hertz gravitational waves, their astrophysical sources including supermassive black hole binaries, and the sophisticated detection methods required to observe these elusive signals. Discover the role of pulsar timing arrays in nano-hertz gravitational wave detection and understand how these observations complement higher-frequency gravitational wave detections from ground-based interferometers. Gain insights into the current state of nano-hertz gravitational wave research, ongoing challenges in signal processing and data analysis, and the future prospects for this emerging field of astronomy. This presentation forms part of "The Future of Gravitational-Wave Astronomy" discussion meeting, celebrating the 10th anniversary of the first gravitational wave detection and bringing together leading experts to explore the next decade of gravitational wave science.
