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Explore cutting-edge research questions in operator algebras and their connections to logic during this 45-minute open problems session from the "Connections with Logic" Workshop. Held on September 1, 2023, as part of the Fields Institute's Thematic Program on Operator Algebras and Applications, this session provides a platform for researchers to discuss and collaborate on unsolved challenges in the field. Gain insights into the intersection of operator algebras and logic, and discover potential avenues for future research. Engage with experts and fellow participants as they present and dissect open problems, fostering a collaborative environment for advancing knowledge in this specialized area of mathematics.