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Explore the intricacies of the arithmetic and geometric Langlands program in this 46-minute lecture presented by Xinwen Zhu for the International Mathematical Union. Delve into the fundamental concepts and recent developments in this advanced area of mathematical research, connecting number theory, algebraic geometry, and representation theory. Gain insights into the interplay between arithmetic and geometric approaches to the Langlands program, and discover how these perspectives contribute to our understanding of deep mathematical structures.
