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Learn advanced techniques in automorphic forms and representation theory through this mathematical lecture that compares the Arthur-Selberg trace formula with the Kuznetsov formula for GL(n) and explores methods for separating the residual spectrum. Discover the intricate relationships between these fundamental tools in analytic number theory and their applications to understanding the spectral decomposition of automorphic forms. Examine the technical challenges involved in establishing correspondences between different trace formulas and gain insights into how these comparisons can illuminate the structure of the residual spectrum. Explore the theoretical framework that underlies these comparisons and understand their significance in the broader context of the Langlands program and automorphic representation theory.
