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Explore recent advances in the abstract theory of 6-functor formalisms and their application to the representation theory of locally profinite groups in this 1-hour 8-minute lecture. Delve into how these developments illuminate classical results, including the preservation of admissibility under various operations, Bernstein-Zelevinsky duality, and Second Adjointness. Discover new insights into the p-adic representation theory of p-adic Lie groups as an application of these theoretical advancements. Gain a deeper understanding of the intersection between abstract mathematical structures and their practical implications in representation theory.
