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Explore the fascinating world of multi-oscillating boson stars in this 30-minute conference talk by Matthew Choptuik from the University of British Columbia Physics department. Delve into the complexities of general-relativistic boson stars, which are stationary, gravitationally bound configurations of complex scalar fields. Discover how these stars are characterized by scalar field oscillation frequencies and learn about evidence suggesting they may be part of a larger set of configurations with potentially infinite incommensurate frequencies. Examine the explicit calculation of two-frequency states and gain insights into the similarities and differences between these configurations and single-frequency stars. This presentation, part of IPAM's Workshop II: Mathematical and Numerical Aspects of Gravitation at UCLA, offers a deep dive into cutting-edge research in theoretical physics and gravitation.