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Explore advanced representation theory through this mathematical lecture that presents a nonabelian Fourier transform specifically designed for tempered unipotent representations of p-adic groups. Delve into sophisticated algebraic structures and their transformations as the speaker develops theoretical frameworks connecting Fourier analysis with representation theory in the p-adic setting. Examine the mathematical foundations underlying tempered representations and their unipotent characteristics, while discovering how nonabelian generalizations of classical Fourier transforms can be constructed and applied. Gain insights into cutting-edge research at the intersection of harmonic analysis, algebraic groups, and p-adic analysis through detailed mathematical exposition and theoretical development presented at the International Congress on Basic Sciences 2025.
