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This workshop continues the investigation of the interface between number theory, geometry, and physics started in last year’s workshop. Some of the themes covered include Hodge theory and physics, arithmetic of black holes, mirror symmetry, arithmetic of scattering amplitudes, arithmetic gauge theories, and modularity of BPS states. The number of physicists around the world interested in number theory seems to be steadily increasing as are the number of activities. Over the past year, the organiser MK has spoken at the mathematical physics seminar in Heidelberg, the mathematics and physics colloquium in Amsterdam, and two Simons conferences on string theory and number theory. The current activity at KIAS attempts to present a coherent view of many of the most recent developments and insights for the benefit of participants and speakers.