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Delve into the advanced mathematical concepts of automorphy lifting in this comprehensive lecture. Explore the intricate theories and methodologies presented by James Newton as he builds upon previous discussions on the subject. Gain insights into the complex relationships between automorphic forms and Galois representations, and understand the significance of lifting techniques in number theory and algebraic geometry. Examine the latest developments and applications in this field, and enhance your understanding of the underlying principles that drive automorphy lifting research. Suitable for graduate-level mathematics students and researchers interested in number theory, algebraic geometry, and related areas.
