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Speculations on the mod <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi></mml:math> representation theory of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi></mml:math>-adic groups
Starting with the hypothesis, inspired by recent work on the geometric Langlands correspondence, that the analogue for mod p representations of p-adic groups of the local Langlands correspondence might be an equivalence of (higher) categories rather than a bijection of sets, this paper presents a series of speculations and questions …