An Iwahori theoretic mod p Local Langlands Correspondence

2023/11/06 by Chitrao, Anand · 2 citations
#FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2311.02919

Abstract

We extend a comparison theorem of Anandavardhanan-Borisagar between the quotient of the induction of a mod p character by the image of an Iwahori-Hecke operator and compact induction of a weight to the case of the trivial character. This involves studying the corresponding non-commutative Iwahori-Hecke algebra. We use this to give an Iwahori theoretic reformulation of the (semi-simple) mod p Local Langlands Correspondence discovered by Breuil and reformulated functorially by Colmez. This version of the correspondence is expected to have applications to computing the mod p reductions of semi-stable Galois representations.

Cited by

• The semi-stable Local Langlands Correspondence
• Iwahori-Hecke model for the universal supersingular representation

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